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PREVIEW: QUANTUM COMPUTING: Colleague Brandon Weichert reports on fresh information from Microsoft regarding "topological qubits" that can demonstrate untold speed in problem solving, all with the mysteries of instant communication unsolved. More later. 1958
Microsoft just announced a massive quantum computer breakthrough that uses an entirely new state of matter. The new quantum computer uses topological superconductors to create stable qubits with low error rates. Topological superconductors enable stable qubits by utilizing Majorana zero modes to protect quantum information from decoherence.The result: Microsoft should have a fault-tolerant usable quantum computer this decade. As in, before 2030.In this TechFirst, we talk with Microsoft's head of quantum hardware, Chetan Nayak, who has been working on solving this problem for literally 19 years, and he talks us through the technology and what it means for quantum computer. He explains the methods to measure this new state non-destructively, the novel architecture that leverages it, and Microsoft's ambitious roadmap towards building a fault-tolerant quantum computer within this decade. The conversation delves into potential future applications, the integration of this technology into global data infrastructures, and the transformative possibilities it holds for various fields, including chemistry, materials science, and beyond.00:00 Introduction to Fault Tolerant Quantum Computing00:48 Understanding the New Phase of Matter: Topological Superconductor02:10 Properties and Applications of Superconductors03:11 Creating and Engineering Topological Superconductors05:16 The Significance of Topological Superconductors for Qubits09:54 Measuring Quantum States with Quantum Dots13:03 Building and Testing Quantum Devices19:43 Future Roadmap for Quantum Processors19:53 Unveiling the Quantum Roadmap20:34 DARPA Collaboration and Engineering Milestones21:23 Fabrication and Demonstration of the Eight Qubit Processor21:43 Accelerating Quantum Progress23:22 Scaling Quantum Computers for Practical Applications27:04 The Long Journey of Quantum Research at Microsoft33:24 Future Prospects and Challenges in Quantum Computing38:10 Quantum Computing's Role in Addressing Global Issues42:32 Reflections on a 19-Year Journey
Quantum computing will never be the same again. Join host Konstantinos Karagiannis for a special onsite interview at Microsoft Azure Quantum labs, where he was invited to see the launch of Majorana 1, the world's first quantum processor powered by topological qubits. On the day this episode is posted, Nature will release a paper validating how Microsoft was able to create a topoconductor, or new material stack of indium arsenide and aluminum, built literally one atom at a time, to bring quantum particles called Majoranas into usable form. The resulting topological qubits have a unique shape called a tetron and can be accurately measured with lower errors than other modalities. Starting with a 4x2 grid of qubits, this same tiny device will hold 1 million qubits in a few years because of its unique system of wiring and measurement. This interview with Chetan Nayak from Microsoft happened a few feet away from a working Majorana 1 system. For more information on Microsoft Azure Quantum, visit https://quantum.microsoft.com/. Read the technical blog here: https://aka.ms/MSQuantumAQBlog. For photos from the Microsoft labs and other links, visit @konstanthacker on X and Instagram. Visit Protiviti at www.protiviti.com/US-en/technology-consulting/quantum-computing-services to learn more about how Protiviti is helping organizations get post-quantum ready. Follow host Konstantinos Karagiannis on all socials: @KonstantHacker and follow Protiviti Technology on LinkedIn and Twitter: @ProtivitiTech. Questions and comments are welcome! Theme song by David Schwartz, copyright 2021. The views expressed by the participants of this program are their own and do not represent the views of, nor are they endorsed by, Protiviti Inc., The Post-Quantum World, or their respective officers, directors, employees, agents, representatives, shareholders, or subsidiaries. None of the content should be considered investment advice, as an offer or solicitation of an offer to buy or sell, or as an endorsement of any company, security, fund, or other securities or non-securities offering. Thanks for listening to this podcast. Protiviti Inc. is an equal opportunity employer, including minorities, females, people with disabilities, and veterans.
BUFFALO, NY - November 18, 2024 – A new #editorial was #published in Oncotarget's Volume 15 on November 12, 2024, entitled, “Mitigating bias in radiology: The promise of topological data analysis and simplicial complexes.” In this publication, researchers Yashbir Singh, Colleen Farrelly, Quincy A. Hathaway, and Gunnar Carlsson from the Department of Radiology at the Mayo Clinic in Rochester, MN, explore how a mathematical technique called Topological Data Analysis (TDA) can enhance the reliability and reduce bias in AI systems used for medical diagnosis. By addressing issues of fairness and accuracy in current AI tools, TDA holds the potential to transform the field of radiology. Radiology increasingly relies on AI to analyze medical images like X-rays and Magnetic Resonance Imaging (MRIs). While these tools provide speed and efficiency, they can sometimes yield biased or inconsistent results due to limitations in the data or algorithms. Researchers suggest that TDA can address these challenges by capturing critical details in medical images—such as subtle tissue patterns or branching structures in blood vessels—that traditional methods might overlook. TDA analyzes the "shape" and structure of data, which uncovers patterns and relationships beyond individual pixels. This innovative approach offers three key benefits: 1) It captures intricate features, such as looping blood vessels, 2) provides a more comprehensive analysis by examining interactions between pixel groups, creating a holistic view, and 3) enhances transparency that allows clinicians to better understand how AI reaches its conclusions and identify potential errors or biases. AI tools in radiology are often trained on limited or unbalanced data, meaning they might not work as well for certain groups of people. This can lead to unfair or inaccurate diagnoses. TDA offers a way to fix that by creating more comprehensive and diverse data models. It can also handle noise and inconsistencies in images, like differences caused by different equipment or patient positions. “This mathematical framework has the potential to significantly improve the accuracy and fairness of radiological assessments, paving the way for more equitable patient care.” In conclusion, this new approach has the potential to revolutionize how AI is used in radiology and improve diagnosis for everyone. While still in early development, researchers are optimistic about TDA's ability to transform medical imaging. “As researchers and clinicians, we must continue to explore and develop these innovative approaches to ensure that the future of AI-assisted radiology is both highly accurate and equitable for all patients.” DOI - https://doi.org/10.18632/oncotarget.28668 Correspondence to - Yashbir Singh - singh.yashbir@mayo.edu Video short - https://www.youtube.com/watch?v=v7eWFjmKoNk Subscribe for free publication alerts from Oncotarget - https://www.oncotarget.com/subscribe/ About Oncotarget Oncotarget (a primarily oncology-focused, peer-reviewed, open access journal) aims to maximize research impact through insightful peer-review; eliminate borders between specialties by linking different fields of oncology, cancer research and biomedical sciences; and foster application of basic and clinical science. Oncotarget is indexed and archived by PubMed/Medline, PubMed Central, Scopus, EMBASE, META (Chan Zuckerberg Initiative) (2018-2022), and Dimensions (Digital Science). To learn more about Oncotarget, please visit https://www.oncotarget.com and connect with us: Facebook - https://www.facebook.com/Oncotarget/ X - https://twitter.com/oncotarget Instagram - https://www.instagram.com/oncotargetjrnl/ YouTube - https://www.youtube.com/@OncotargetJournal LinkedIn - https://www.linkedin.com/company/oncotarget Pinterest - https://www.pinterest.com/oncotarget/ Reddit - https://www.reddit.com/user/Oncotarget/ Spotify - https://open.spotify.com/show/0gRwT6BqYWJzxzmjPJwtVh MEDIA@IMPACTJOURNALS.COM
Il teletrasporto è un concetto affascinante reso popolare da opere di fantascienza come Star Trek. A livello scientifico, il teletrasporto quantistico rappresenta l'avanguardia della ricerca in questo campo. Ma cos'è il teletrasporto e come funziona? Il teletrasporto quantistico sfrutta un fenomeno noto come entanglement quantistico, dove due particelle diventano interconnesse in modo tale che lo stato di una influenza istantaneamente lo stato dell'altra, indipendentemente dalla distanza. Questo processo, però, non trasporta fisicamente le particelle, ma trasferisce l'informazione sul loro stato quantistico da un punto all'altro. La spiegazione scientifica del teletrasporto quantistico è complessa e coinvolge l'uso di qubit, unità fondamentali dell'informazione quantistica. Abbiamo scoperto il teletrasporto quantistico grazie a esperimenti che hanno dimostrato come l'informazione quantistica possa essere trasferita, ma esistono ancora molte problematiche da risolvere. Ad esempio, la decoerenza quantistica può disturbare l'entanglement, rendendo il processo instabile. Il teletrasporto umano, come descritto nei film, non è ancora possibile. Le sfide principali includono la necessità di mappare e trasferire l'intera configurazione atomica di una persona, cosa attualmente oltre le nostre capacità tecnologiche. Anche se esiste davvero il teletrasporto quantistico, applicarlo a livello macroscopico è ancora un sogno lontano. In conclusione, mentre il teletrasporto quantistico offre una spiegazione affascinante e promettente, siamo ancora lontani dal realizzare il teletrasporto umano come lo conosciamo dai film. La scienza continua a esplorare queste frontiere, sperando di rendere possibile ciò che oggi sembra solo fantasia. FONTI - Barrett, M., Chiaverini, J., Schaetz, T. et al. Deterministic quantum teleportation of atomic qubits. Nature 429, 737–739 (2004). https://doi.org/10.1038/nature02608 - Pirandola, S., Eisert, J., Weedbrook, C. et al. Advances in quantum teleportation. Nature Photon 9, 641–652 (2015). https://doi.org/10.1038/nphoton.2015.154 - How Teleportation will work? https://science.howstuffworks.com/science-vs-myth/everyday-myths/teleportation.htm#:~:text=Has%20teleportation%20ever%20been%20done,the%20realm%20of%20quantum%20physics. - Topological teleportation https://mareknarozniak.com/2021/07/09/topological-teleportation/ - Valera, S. J. (2023). Topological Quantum Teleportation and Superdense Coding Without Braiding. arXiv. https://doi.org/10.48550/arXiv.2303.17700 __________________
Microsoft Azure Quantum has provided access to quantum computers in the cloud for about four years. A lot has changed in that time, including the generative AI revolution. It's now possible to create quantum circuits with the help of Copilot and users can work on advanced scientific problems in Azure Quantum Elements by combining quantum computing, high-performance computing (HPC) clusters and AI. Microsoft is also making advances in logical qubits in partnership with Quantinuum as well as with their own topological qubits. Join host Konstantinos Karagiannis for a wide-ranging chat with Dr. Krysta Svore, who helped build Microsoft Azure Quantum. To get started with Microsoft Azure Quantumm visit https://smt.microsoft.com/en-US/AQEPrivatePreviewSignup. Visit Protiviti at www.protiviti.com/US-en/technology-consulting/quantum-computing-services to learn more about how Protiviti is helping organizations get post-quantum ready. Follow host Konstantinos Karagiannis on all socials: @KonstantHacker and follow Protiviti Technology on LinkedIn and Twitter: @ProtivitiTech. Questions and comments are welcome! Theme song by David Schwartz, copyright 2021. The views expressed by the participants of this program are their own and do not represent the views of, nor are they endorsed by, Protiviti Inc., The Post-Quantum World, or their respective officers, directors, employees, agents, representatives, shareholders, or subsidiaries. None of the content should be considered investment advice, as an offer or solicitation of an offer to buy or sell, or as an endorsement of any company, security, fund, or other securities or non-securities offering. Thanks for listening to this podcast. Protiviti Inc. is an equal opportunity employer, including minorities, females, people with disabilities, and veterans.
Michael Freedman is a mathematician who was awarded the Fields Medal in 1986 for his solution of the 4-dimensional Poincare conjecture. Mike has also received numerous other awards for his scientific contributions including a MacArthur Fellowship and the National Medal of Science. In 1997, Mike joined Microsoft Research and in 2005 became the director of Station Q, Microsoft's quantum computing research lab. As of 2023, Mike is a Senior Research Scientist at the Center for Mathematics and Scientific Applications at Harvard University. Patreon (bonus materials + video chat): https://www.patreon.com/timothynguyen In this wide-ranging conversation, we give a panoramic view of Mike's extensive body of work over the span of his career. It is divided into three parts: early, middle, and present day, which respectively include his work on the 4-dimensional Poincare conjecture, his transition to topological physics, and finally his recent work in applying ideas from mathematics and philosophy to social economics. Our conversation is a blend of both the nitty-gritty details and the anecdotal story-telling that can only be obtained from a living legend. I. Introduction 00:00 : Preview 01:34 : Fields Medalist working in industry 03:24 : Academia vs industry 04:59 : Mathematics and art 06:33 : Technical overview II. Early Mike: The Poincare Conjecture (PC) 08:14 : Introduction, statement, and history 14:30 : Three categories for PC (topological, smooth, PL) 17:09 : Smale and PC for d at least 5 17:59 : Homotopy equivalence vs homeomorphism 22:08 : Joke 23:24 : Morse flow 33:21 : Whitney Disk 41:47 : Casson handles 50:24 : Manifold factors and the Whitehead continuum 1:00:39 : Donaldson's results in the smooth category 1:04:54 : (Not) writing up full details of the proof then and now 1:08:56 : Why Perelman succeeded II. Mid Mike: Topological Quantum Field Theory (TQFT) and Quantum Computing (QC) 1:10:54: Introduction 1:11:42: Cliff Taubes, Raoul Bott, Ed Witten 1:12:40 : Computational complexity, Church-Turing, and Mike's motivations 1:24:01 : Why Mike left academia, Microsoft's offer, and Station Q 1:29:23 : Topological quantum field theory (according to Atiyah) 1:34:29 : Anyons and a theorem on Chern-Simons theories 1:38:57 : Relation to QC 1:46:08 : Universal TQFT 1:55:57 : Witten: Donalson theory cannot be a unitary TQFT 2:01:22 : Unitarity is possible in dimension 3 2:05:12 : Relations to a theory of everything? 2:07:21 : Where topological QC is now III. Present Mike: Social Economics 2:11:08 : Introduction 2:14:02 : Lionel Penrose and voting schemes 2:21:01 : Radical markets (pun intended) 2:25:45 : Quadratic finance/funding 2:30:51 : Kant's categorical imperative and a paper of Vitalik Buterin, Zoe Hitzig, Glen Weyl 2:36:54 : Gauge equivariance 2:38:32 : Bertrand Russell: philosophers and differential equations IV: Outro 2:46:20 : Final thoughts on math, science, philosophy 2:51:22 : Career advice Some Further Reading: Mike's Harvard lecture on PC4: https://www.youtube.com/watch?v=TSF0i6BO1Ig Behrens et al. The Disc Embedding Theorem. M. Freedman. Spinoza, Leibniz, Kant, and Weyl. arxiv:2206.14711 Twitter: @iamtimnguyen Webpage: http://www.timothynguyen.org
Interesting erasure phenomena arise from interactions between lower-dimensional and higher-dimensional objects and impact cosmology and fundamental physics. In the first part of the colloquium, I will examine the case for topological defects, revealing insights into the interactions of magnetic monopoles, cosmic strings, and domain walls. For objects like cosmic or QCD flux strings, encounters with domain walls or D-branes result in erasure through coherence loss during collisions, introducing a new string break-up mechanism. The collisions between magnetic monopoles and domain walls in an SU(2) gauge theory lead to monopole erasure, which is pivotal in post-inflationary phase transitions and potentially solves the cosmological monopole problem. Simulations show that strings or monopoles cannot penetrate domain walls. Entropy-based arguments highlight the significance of the erasure phenomena that can produce correlated gravitational waves and electromagnetic radiation, impacting cosmology and astrophysics. The second part of the colloquium focuses on the saturation of unitarity and the emergence of Saturons. These self-sustained objects, which reach the maximal entropy allowed by unitarity, resemble black holes. I discuss a "black hole-saturon" correspondence in a renormalizable SU(N) invariant theory. Despite lacking gravity, saturons show features like an information horizon, Bekenstein-Hawking entropy, thermal evaporation, and a characteristic information retrieval time. This correspondence has significant implications for black hole physics and saturated systems. We will examine recent results on saturon mergers, vortices in black holes, and primordial black holes, offering new perspectives on fundamental theory and observations.
No guest this episode! Instead, Kevin and Sebastian have a conversation looking back on the events of 2023 in quantum computing, wiht a particular focus on three trends: some waning of enthusiasm in the private sector, a surge of investments from the public sector as national and regional governments invest in the quantum computing value chain and the shift from a focus on NISQ to logical qubits. Qureca's overview of public sector quantum initiatives in 2023Preskill's NISQ paper from 2018 (yes, I was off by a few years!)The paper that introduced the idea of VQE: A variational eigenvalue solver on a quantum processor by Peruzzo et alA variation on VQE that still has some promise An adaptive variational algorithm for exact molecular simulations on a quantum computer by Grimsley et alMitiq, a quantum error mitigation framework from Unitary FundPeter Shor's first of its kind quantum error correction in the paper Scheme for reducing decoherence in quantum computer memoryQuantinuum demonstrates color codes to implement a logical qubit on their ion trap machine, H-1Toric codes introduced in Fault-tolerant quantum computation by anyons by Alexei KitaevSurface codes and topological qubits introduced in Topological quantum memory by Eric Dennis, Alexei Kitaev, Andrew Landahl, and John PreskillThe threshold theorem is laid out in Fault-Tolerant Quantum Computation With Constant Error Rate by Dorit Aharonov and Michael Ben-OrThe GKP variation on the surface code appears in Encoding a qubit in an oscillator by Daniel Gottesman, Alexei Kitaev, John PreskillA new LDPC based chip architecture is described in High-threshold and low-overhead fault-tolerant quantum memory by Sergey Bravyi, Andrew W. Cross, Jay M. Gambetta, Dmitri Maslov, Patrick Rall, Theodore J. YoderNeutral atoms are used to create 48 logical qubits in Logical quantum processor based on reconfigurable atom arrays by Vuletic's and Lukin's groups at MIT and Harvard respectivelyIf you have an idea for a guest or topic, please email us.Also, John Preskill has agreed to return to answer questions from our audience so please send any question you'd like Professor Preskill to answer our way at info@the-new-quantum-era.com
Highlights: 00:02:25 - Colleen's motivation for writing a book, interdisciplinary collaborations, and explaining advanced mathematical tools in accessible ways.00:08:44 - Journey from biology and social sciences to data science, and the integration of different mathematical tools in solving data problems.00:14:13 - Overcoming imposter syndrome and the value of exploring beyond one's field.00:15:02 - The importance of mentorship.00:23:40 - Coping strategies for setbacks in academia and industry.About the Guest:Colleen Farrelly is an author and senior data scientist. Her research has focused on network science, topological data analysis, and geometry-based machine learning. She has a master's from the University of Miami and has experience in many fields, including healthcare, biotechnology, nuclear engineering, marketing, and education. Colleen wrote the book, The Shape of Data: Geometry-Based Machine Learning and Data Analysis in R. Mentions:Connect with Colleen Farrelly on LinkedIn Related Links:The Shape of Data: Geometry-Based Machine Learning and Data Analysis in R Connect with UsMargot Gerritsen on LinkedInListen and Subscribe to the WiDS Podcast on Apple Podcasts,Google Podcasts,Spotify,Stitcher
Katya Ivshina is a PhD student in Applied Mathematics at Harvard studying geometric machine learning Katya's Instagram: @katya.ivshina Katya's YouTube Channel: https://www.youtube.com/@KatyaIvshina YouTube канал Кати на русском: https://www.youtube.com/@ekaterinaivshina Timestamps: (0:00) Intro (1:16) Katya's research explained at two different levels (23:25) What excites you about the future of this field? (29:20) Katya's journey to doing a PhD at Harvard (42:20) Cultural differences in the US (54:22) What do you do outside of research and academics? (1:03:20) Advice for current and prospective grad students (1:14:05) Closing question: Topological data analysis explained simply
Over the last decade topological analysis has been established as a new tool for analysis of spiking data. Today's guest has been a pioneer in adapting this mathematical technique for use in our field and explains concepts and example applications. We also also talk about so-called threshold-linear network model, a generalization of Hopfield networks exhibiting a much richer dynamics, where Carina has done some exciting mathematical explorations
References Biochimica et Biophysica Acta (BBA) - Biomembranes 2015. Volume 1848, Issue 3. Pages 805-812. J Immunol. 2018 Feb 1; 200(3): 915–927. Am J Rhinol Allergy. 2015 Jan-Feb; 29(1): 35–40. Corelli,A. 1714. Concerto in D Major Op. 6 No. 4, https://youtu.be/3smZkpqXYHs?si=uwEdDkRv-bz-zJXW --- Send in a voice message: https://podcasters.spotify.com/pod/show/dr-daniel-j-guerra/message Support this podcast: https://podcasters.spotify.com/pod/show/dr-daniel-j-guerra/support
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Get a monthly subscription to access premium episodes!'Easy Physics' is a podcast that delves into the bizarre and fascinating world of this amazing science. Join us as we use humor and plain language to explore many fundamental principles, and learn about each one of them in a few minutes. From particles that exist in multiple places at once to the immensity of the cosmos, we'll take a lighthearted look at the most mind-bending concepts in physics. Hosted on Acast. See acast.com/privacy for more information.
柿田さん、深蟹さんと部品で強相関電子系、学生の指導方針、おすすめコンテンツ(SF、『失われた時を求めて』)、テレビ出演などについて話しました。 (2023/06/17 収録)以下の Show Notes は簡易版です。完全版はこちら。0:00 自己紹介スピントロニクスと部品さんの有名な逸話 転職のススメ - ぶひんブログ4:12 柿田さんの研究磁気スキルミオン - Wikipedia強相関物性研究グループ - 十倉 好紀 - 創発物性科学研究センター (CEMS) - 理化学研究所ローレンツ電子顕微鏡法 → 磁区構造を可視化する新しい電子顕微鏡法 - 理化学研究所>磁性体試料中を透過する電子線の進行方向が、試料の磁化からのローレンツ力を受けて偏向される様子を観察する電子顕微鏡技術。ジャロシンスキー-守谷相互作用 → 弱強磁性 - WikipediaRKKY相互作用 - WikipediaN. Nagaosa & Y. Tokura, Topological properties and dynamics of magnetic skyrmions - Nature Nanotechnology十倉好紀『岩波講座 物理の世界 さまざまな物質系1 強相関電子と酸化物』創発電磁場によるインダクタ - 理化学研究所ドメインウォール - WikipediaJournal of the Less Common Metals - ScienceDirect.com by ElsevierCommon and Less Common Magnets and Metals『高温超伝導の若きサムライたち: 日本人研究者の挑戦と奮闘の記録』1:22:47 ラスベガスの一番熱い夜 (APS2023参戦記)Interaxion 49: The Hottest Night in Las VegasAPS -APS March Meeting 2023 - Session Index MAR232023/08/15: Ep. 49 で紹介した Dias 氏の MnS2 の論文がリトラクト。 Phys. Rev. Lett. 131, 079902 (2023) - Retraction: Colossal Density-Driven Resistance Response in the Negative Charge Transfer Insulator MnS2 [Phys. Rev. Lett. 127, 016401 (2021)]‘A very disturbing picture': another retraction imminent for controversial physicist1:36:10 学生からスタッフになっての変化追跡:がん不安つけ込みマルチ商法 逮捕の社長、抗がん剤否定「ヨウ素で治る」 - 毎日新聞2:01:11 コンテンツ脳外科医 竹田くん『ストーカー』(ハヤカワ文庫SF)スタニスワフ・レム生誕100周年記念企画第3弾! SFマガジン12月号「スタニスワフ・レム生誕100周年」内容紹介|Hayakawa Books & Magazines(β)井上究一郎訳『失われた時を求めて』吉川一義訳『失われた時を求めて』高遠弘美訳『失われた時を求めて』鈴木道彦訳『失われた時を求めて』ミューオン透視: Ep. 19 で紹介している 緒方洪庵が遺した“開かずの薬瓶” 非破壊で解明 - リソウ など2:14:13 TV出演お知らせニムニムスタンプ登場出演して頂ける方、感想などお待ちしております。 #interaxion
Gotta get back in time: one from the vaults this week, Chris talks to Mark Edmonds about topological switching, Claire chats to Catriona in her first appearance on the show about her PhD research and Stu talks to Adam Cross about Albany pitcher plants from WA in these flashbacks from 2019.
Paper: https://www.frontiersin.org/articles/10.3389/fnhum.2023.1233119/full The boundary problem is related to the binding problem, part of a family of puzzles and phenomenal experiences that theories of consciousness (ToC) must either explain or eliminate. By comparison with the phenomenal binding problem, the boundary problem has received very little scholarly attention since first framed in detail by Rosengard in 1998, despite discussion by Chalmers in his widely cited 2016 work on the combination problem. However, any ToC that addresses the binding problem must also address the boundary problem. The binding problem asks how a unified first person perspective (1PP) can bind experiences across multiple physically distinct activities, whether billions of individual neurons firing or some other underlying phenomenon. To a first approximation, the boundary problem asks why we experience hard boundaries around those unified 1PPs and why the boundaries operate at their apparent spatiotemporal scale. We review recent discussion of the boundary problem, identifying several promising avenues but none that yet address all aspects of the problem. We set out five specific boundary problems to aid precision in future efforts. We also examine electromagnetic (EM) field theories in detail, given their previous success with the binding problem, and introduce a feature with the necessary characteristics to address the boundary problem at a conceptual level. Topological segmentation can, in principle, create exactly the hard boundaries desired, enclosing holistic, frame-invariant units capable of effecting downward causality. The conclusion outlines a programme for testing this concept, describing how it might also differentiate between competing EM ToCs.
Link to bioRxiv paper: http://biorxiv.org/cgi/content/short/2023.07.03.547451v1?rss=1 Authors: Shailja, S., Chen, J. W., Grafton, S. T., Manjunath, B. S. Abstract: We present ReTrace, a novel graph matching-based topological evaluation and validation method for tractography algorithms. ReTrace uses a Reeb graph whose nodes and edges capture the topology of white matter fiber bundles. We evaluate the performance of 96 algorithms from the ISMRM Tractography Challenge and the the standard algorithms implemented in DSI Studio for the population-averaged Human Connectome Project (HCP) dataset. The existing evaluation metrics such as the f-score, bundle overlap, and bundle overreach fail to account for fiber continuity resulting in high scores even for broken fibers, branching artifacts, and mis-tracked fiber crossing. In contrast, we show that ReTrace effectively penalizes the incorrect tracking of fibers within bundles while concurrently pinpointing positions with significant deviation from the ground truth. Based on our analysis of ISMRM challenge data, we find that no single algorithm consistently outperforms others across all known white matter fiber bundles, highlighting the limitations of the current tractography methods. We also observe that deterministic tractography algorithms perform better in tracking the fundamental properties of fiber bundles, specifically merging and splitting, compared to probabilistic tractography. We compare different algorithmic approaches for a given bundle to highlight the specific characteristics that contribute to successful tracking, thus providing topological insights into the development of advanced tractography algorithms. Copy rights belong to original authors. Visit the link for more info Podcast created by Paper Player, LLC
Hello Interactors,We're now into summer, but I wanted to sneak in one last cartography post. It's a leap from last week's post into the field of human dynamics. If you don't want to read the whole thing (shame on you
Watch the video of this episode here: https://youtu.be/AJJGv-5Rk4I #CondensedMatter #superconductors #quantummechanics The tagline for our podcast by Arthur C. Clarke is “Any sufficiently advanced technology is indistinguishable from magic”. Theoretical physicist Felix Flicker's imaginative new book The Magick of Physics provides ample service to that notion. In Flicker's book the magic is in “condensed matter physics”, the quotidian solids, liquids, and gasses that surround us—and the more exotic matter— which form the foundations for our electronic lives, and may hold the keys to a transformed future, from quantum computing to real-life invisibility cloaks. Flicker finds magic in real physics like creating new particles which never existed before, and making crystals that shoot out light that can cut through metal. Using metaphors of wizards, infinite libraries, staffs and wands, the book has a compelling narrative that circumvents the need for equations and charts, yet conveys real, practical knowledge. Felix Flicker is a lecturer at Cardiff University in the School of Physics and Astronomy. He holds an MPhys in physics from St Catherine's College, Oxford, and received his PhD in theoretical condensed matter physics from the University of Bristol in 2015. He has published in both Nature and Science. Felix has trained in Kung Fu for twenty years and has been an instructor for fifteen years. He is the former British Champion of Shuai Jiao (Chinese wrestling), and a student of Shodo (Japanese calligraphy) and sailing. www.felixflicker.com Buy The Magick of Physics: Uncovering the Fantastical Phenomena in Everyday Life https://a.co/d/2JtuhM1 00:00:00 Intro 00:02:30 Judging the book by its cover 00:07:10 What is the philosopher's stone? 00:09:20 The announcement by Ranga Diass of the development of a room temperature superconductor at the March 2023 meeting of the American Physical Society of 10,000 scientists. 00:15:45 What qualifies as a legit superconducting material? Why is ultra-high pressure an issue? 00:19:00 What is the significance of condensed matter physics and why should a scientist consider pursuing it? The elevator pitch. 00:25:50 The glory of room temperature superconductors 00:28:25 Felix's journey through martial arts, calligraphy and tea. 00:33:45 Tea and phase transitions 00:41:54 How does physics go from theory to practice? 00:49:00 Why are knots important in condensed matter physics? Topological quantum computation! 00:56:00 Existential questions - What are your choices for the most magical or impressive scientific fact(s)? Phonons! Subscribe to the Jordan Harbinger Show for amazing content from Apple's best podcast of 2018! https://www.jordanharbinger.com/podcasts Please leave a rating and review: On Apple devices, click here, https://apple.co/39UaHlB On Spotify it's here: https://spoti.fi/3vpfXok On Audible it's here https://tinyurl.com/wtpvej9v Find other ways to rate here: https://briankeating.com/podcast Support the podcast on Patreon https://www.patreon.com/drbriankeating or become a Member on YouTube- https://www.youtube.com/channel/UCmXH_moPhfkqCk6S3b9RWuw/join To advertise with us, contact advertising@airwavemedia.com Learn more about your ad choices. Visit megaphone.fm/adchoices
Formes automorphes (chaire internationale) - Bảo Châu Ngô
Bảo Châu NgôCollège de FranceFormes automorphes (chaire internationale)Année 2022-2023Théorie géométrique des représentationsSéminaire - Philip Boalch : First Steps in Global Lie Theory: wild Riemann surfaces, their character varieties and topological symplectic structuresRésuméI'll describe some of the story leading up to the construction of the topological symplectic structures (P.B. Oxford thesis 1999, Adv. Math. 2001) and subsequent evolution leading to the general, purely algebraic approach (B. 2002, 2009, 2014, B.-Yamakawa 2015). They generalise the holomorphic version of the symplectic structures of Narasimhan, Atiyah- Bott, Goldman involving the topological fundamental group. Our approach gives a TQFT approach to moduli of meromorphic connections on curves, involving Lie group valued moment maps.The right point of view seems to be to generalise the notion of Riemann surface to the notion of wild Riemann surface, in the spirit of Weil's 1957 Bourbaki talk, and view these symplectic varieties as their character varieties (in the spirit of Weil's 1948 text "Sur les courbes algébriques et les variétés qui s'en déduisent"). The simplest irregular example (involving the wild fundamental group) underlies the Drinfeld- Jimbo quantum group (and deformations of the underlying wild Riemann surface explain the natural G-braid group action of Lusztig). Classification of these varieties, as "global analogues of Lie groups", is still at a quite elementary stage, but a rich theory of Dynkin diagrams exists for many examples.If time permits I'll describe how these two-forms fit together with the Bottacin-Markman Poisson structure on the meromorphic Higgs bundle moduli spaces to give the wild nonabelian Hodge hyperkahler manifolds (Biquard-B. 2004). Surprisingly these hyperkahler metrics are often complete even though the corresponding harmonic maps have infinite energy. The simplest examples, certain hyperkahler four- manifolds, are the "spaces of initial conditions" of the Painlevé equations. Painlevé knew his equations were deformations of equations for elliptic functions, and so we can now see this "Painlevé simplification" as a hyperkahler rotation, from meromorphic connections to meromorphic Higgs bundles. Not only does this story encompass many famous classical integrable systems like the Lagrange top (2 poles of order 2), and those studied by Mumford (in Tata lectures on Theta II), but several of these Painlevé integrable systems were used in Seiberg-Witten's 1994 solution of 4d N=2 super Yang-Mills theory for SU(2), and one of the higher rank generalizations, introduced by Garnier in 1919 (the simplified Schlesinger system), underlies the famous Gaudin model. It was solved by Garnier in terms of abelian functions by defining spectral curves, a method rediscovered in the soliton literature in the 1970s (see e.g. Adler-Van Moerbeke 1980, Linearization of Hamiltonian systems, Jacobi varieties and representation theory, p.337, or Verdier's 1980 Séminaire Bourbaki), before being generalised by Hitchin to the case where the base curve has genus >1.Philip BoalchPhilip Boalch1991-1997: Cambridge University (B.A, Part 3, start of PhD at DPMMS)1993: summer employment drawing optical solitons (GEC Hirst research lab.)1997-1999: Oxford University, D.Phil (N. Hitchin)1999-2001: Post-doc Trieste (B. Dubrovin, M.S. Narasimhan)2001-2002: Post-doc Strasbourg (O. Biquard)2002: recruté par le CNRS2002-2003: Post-doc Columbia, New York (I. Krichever)2003-2013: CNRS, ENS Ulm2013-2014: IHES2014-2019: Orsay2019-: IMJ-PRG, Université Paris Cité
We often hear that the path to fault-tolerant quantum computing will require error correction. How will this technique work? Join host Konstantinos Karagiannis for a chat with Yonatan Cohen, Chief Technology Officer at Quantum Machines, about this and other scaling technologies. Also, learn how Quantum Machines is working on all aspects of hybrid control of quantum and classical processors to yield practical, real-world application results as qubit counts grow.For more on Quantum Machines, visit www.quantum-machines.co/.Visit Protiviti at www.protiviti.com/postquantum to learn more about how Protiviti is helping organizations get post-quantum ready. Follow host Konstantinos Karagiannis on Twitter and Instagram: @KonstantHacker and follow Protiviti Technology on LinkedIn and Twitter: @ProtivitiTech. Contact Konstantinos at konstantinos.karagiannis@protiviti.com. Questions and comments are welcome! Theme song by David Schwartz. Copyright 2021.
In this episode, Campbell & Brian discuss how topological superconductors might help quantum computers tackle their noise problem. This is the second part of a two part discussion.questionfieldpod@gmail.comwww.instagram.com/questionfieldpod/www.twitter.com/questfieldpodwww.tiktok.com/@questionfieldhttps://www.youtube.com/@questionfieldpod
Set up a high performance hybrid quantum compute environment in your own Azure Quantum workspace, and run your code on real quantum machines. See the latest advances, core concepts, and Microsoft's distinct topological approach to get us closer to realizing the world's first scalable quantum machine with Azure Quantum Computing. Microsoft Distinguished Engineer and Azure Quantum VP, Krysta Svore, joins host Apoorva Nori, to share what it is and how to set it up. ► QUICK LINKS: 00:00 - Introduction 02:40 - What is Quantum Computing? 04:40 - Applications suited for quantum computers 05:50 - Topological qubits 07:43 - Majorana zero modes 09:43 - How to set up Azure Quantum 12:51 - Quantum Intermediate Representations (QIR) 14:18 - Wrap up ► Link References: Start using Azure Quantum today at https://aka.ms/quantumworkspace Open source samples and learning materials at https://aka.ms/learnquantum ► Unfamiliar with Microsoft Mechanics? As Microsoft's official video series for IT, you can watch and share valuable content and demos of current and upcoming tech from the people who build it at Microsoft. • Subscribe to our YouTube: https://www.youtube.com/c/MicrosoftMechanicsSeries • Talk with other IT Pros, join us on the Microsoft Tech Community: https://techcommunity.microsoft.com/t5/microsoft-mechanics-blog/bg-p/MicrosoftMechanicsBlog • Watch or listen from anywhere, subscribe to our podcast: https://microsoftmechanics.libsyn.com/website ► Keep getting this insider knowledge, join us on social: • Follow us on Twitter: https://twitter.com/MSFTMechanics • Share knowledge on LinkedIn: https://www.linkedin.com/company/microsoft-mechanics/ • Enjoy us on Instagram: https://www.instagram.com/msftmechanics/ • Loosen up with us on TikTok: https://www.tiktok.com/@msftmechanics #QuantumComputing #Qubits #QuantumMachineLearning #QuantumComputers
部品、ブカ、okaで銅酸化物超伝導体発見者のMüller先生追悼回をやるはずが、Dias vs Hirsch 第二幕の話が中心になってしまいました。以下の Show Notes は簡易版です。完全版はこちら。0:00 追悼:カール・アレクサンダー・ミュラーカール・アレクサンダー・ミュラー - WikipediaNobel laureate Karl Alex Müller dies at 95 - IBM Research BlogPossible highT c superconductivity in the Ba−La−Cu−O system - SpringerLink (論文PDF)高温超伝導の若きサムライたち: 日本人研究者の挑戦と奮闘の記録石ノ森章太郎の超電導講座17/2017 Persoenlich Karl Alexander Mueller - Zolliker Zumiker BoteJournal of Superconductivity and Novel Magnetism - Volume 35, issue 7arXiv:1704.06470 Encounters with AlexK. A. Müller as the Honorary Professor of the Kazan University - SpringerLinkThe Polaronic Basis for High-Temperature SuperconductivityPhys. Rev. X 13, 011010 (2023) - Bipolaronic High-Temperature SuperconductivityTowards an Understanding of Hole Superconductivity - SpringerLink (arXiv:1704.07452)Dias vs Hirsch 第二幕48:11 C-S-H高圧室温超伝導のリベンジarXiv:2302.08622 Observation of Conventional Near Room Temperature Superconductivity in Carbonaceous Sulfur HydrideAPS -APS March Meeting 2023 - Session Index MAR231:00:16 Dias に新たな疑惑?PubPeer - Colossal Density-Driven Resistance Response in the Negative…1:12:06 金銀ナノ粒子室温超伝導arXiv:2302.09974 Observation of near room temperature thin film superconductivity of atmospherically stable Ag-Au mesoscopic thin filmEp. 30 でも話してます。1:21:56 良い意味でヤバい論文Topological spin texture in the pseudogap phase of a high-Tc superconductor - Nature1:32:00 機械学習x超伝導arXiv:2301.10474 Machine learning using structural representations for discovery of high temperature superconductors1:36:22 ダイヤモンドアンビルセルの圧力校正Universal diamond edge Raman scale to 0.5 terapascal and implications for the metallization of hydrogen - Nature Communications1:40:08 ぶひん vs 甘利甘利俊一 - Wikipedia1:46:21 お知らせTwitter Spaces やるので参加してください!カルチャーラジオ 歴史再発見 - NHKニムニムスタンプ登場切なく懐かしいトラック - Audiostock実は曲名はキッチン出演して頂ける方、感想などお待ちしております。 #interaxion
Link to bioRxiv paper: http://biorxiv.org/cgi/content/short/2023.02.13.528247v1?rss=1 Authors: Beshkov, K., Einevoll, G. T. Abstract: The primary visual cortex is one of the most well understood regions supporting the processing involved in sensory computation. Historically, our understanding of this part of the brain has been driven by describing the features to which individual neurons respond. An alternative approach, which is rapidly becoming a staple in neuroscience, is to study and analyze the geometry and topology of the manifold generated by the neural activity of large populations of neurons. In this work, we introduce a rigorous quantification of the structure of such neural manifolds and address some of the problems the community has to face when conducting topological data analysis on neural data. We do this by analyzing publicly available two-photon optical recordings of primary mouse visual cortex in response to visual stimuli with a densely sampled rotation angle. Since the set of two- dimensional rotations lives on a circle, one would hypothesize that they induce a circle-like manifold in neural activity. We confirm this hypothesis by discovering a circle-like neural manifold in the population activity of primary visual cortex. To achieve this, we applied a shortest-path (geodesic) approximation algorithm for computing the persistent homology groups of neural activity in response to visual stimuli. It is important to note that the manifold is highly curved and standard Euclidean approaches failed to recover the correct topology. Furthermore, we identify subpopulations of neurons which generate both circular and non-circular representations of the rotated stimuli, with the circular representations being better for angle decoding. We found that some of these subpopulations, made up of orientationally selective neurons, wrap the original set of rotations on itself which implies that the visual cortex also represents rotations up to 180 degrees. Given these results we propose that population activity can represent the angle of rotation of a visual scene, in analogy with how individual direction-selective neurons represent the angle of direction in local patches of the visual field. Finally, we discuss some of the obstacles to reliably retrieving the truthful topology generated by a neural population. Copy rights belong to original authors. Visit the link for more info Podcast created by Paper Player, LLC
Link to bioRxiv paper: http://biorxiv.org/cgi/content/short/2023.01.02.522381v1?rss=1 Authors: Ghisleni, A., Bonilla-Quintana, M., Crestani, M., Fukuzawa, A., Rangamani, P., Gauthier, N. Abstract: The cell cortex is a dynamic assembly formed by the plasma membrane and the underlying cytoskeleton. As the main determinant of cell shape, the cortex ensures its integrity during passive deformation or active response by adapting cytoskeleton topologies with poorly understood mechanisms. The spectrin meshwork ensures such adaptation in erythrocytes and neurons by adopting dramatically different organizations. Erythrocytes rely on triangular-like lattices of spectrin tetramers, which in neurons are organized in parallel and periodic arrays. Since spectrin is ubiquitously expressed, we exploited Expansion Microscopy to discover that these two distinct topologies can co-exist in other mammalian cells such as fibroblasts. We show through biophysical measurements and computational modeling that spectrin provides coverage of the cortex and, with the intervention of actomyosin, erythroid-like lattices can dynamically transition into condensates that resemble neuron-like periodic arrays fenced by actin stress fibers. Spectrin condensates experience lower mechanical stress and turnover despite displaying an extension close to the contour length of the tetramer. Our study sheds light on the adaptive properties of spectrin, which ensures protection of the cortex by undergoing mechanically induced topological transitions. Copy rights belong to original authors. Visit the link for more info Podcast created by Paper Player, LLC
Dr. Jonathan Paprocki Jonathan is a specialist in topological quantum compiling, a Tlon engineer, you can find him on Urbit @ ~Datnut-Pollen Blog can be found at Discordia (http://datnut-pollen.discordja.net/discordja) What is a Kundalini awakening? What do old dusty books say about Kundalini? What is the relationship between Kundalini and topological quantum computers? Can everything be explained by science? How do you deal with the skepticism that other people give you that you used to give them? How much does the flow state come to you when working with quantum computers? Is it very frustrating? What did you learn about Atman after you randomly spoke Atman? Do you think in images? What do you think is the base layer reality now? When did you start studying quantum physics? Who is John Wheeler? What is the participatory universe? He talks about Quantum Bayesianism The idea is that the Universe consists of participants/observers and observations, rules on consistencies of what these interactions guarantee the relationship. What is the study of condensed matter? What is quantum field theory? What is quantum topology? A topologist can't tell the difference between a coffee mug and a donut. Who is Edward Witten, the physicist who received the Field Medal? What are your favorite cognitive hazards? How often do new age thinkers get quantum mechanics right when tying it to spirituality? How important is math to understanding quantum theory? What is quantum theory? Who are the new age mystics who do get quantum theory right? What percentage of quantum theory has to do with the Heisenberg principle? What is the difference between the laws of qualia and the laws of physics? How did you end up at Tlon? What are the differences between Holochain and Urbit? What is a distributed hash table? What is a hash chain? What is naturally inspired computation? What are the aspects of natural physics that are dependent on quantum mechanics? Who is Sam Frank from Urbit? What is the thing that convinces you to pursue incomprehensible projects to the point of comprehensibility? Is doing documentation a good way to learn programming? What is the blog that Jon is writing? What are some differences between writing software for external applications/legacy internet within Urbit versus say writing software in an imperative programming language and navigating Facebook's API? Why did IP addresses not become permanent ways to signify where the message receiver/sender is stable? What does Urbit replace about the current IP address system? What are the differences and similarities between Urbit and Holochain? What is Holochain Scepter? What is Deep Key when it comes to Holochain? How does Urbit enforce global state? What is the data availability problem of the blockchain? Why doesn't adding more blocks make the data processing faster? What is a blockchain? A way to give a clock to distributed system. What is the problem of time in distributed systems? Holochain is a way to run apps on BitTorrent basically (analogy). What percentage of email is spam? What is enforced scarcity? What is the membrane from Holochain? What are all the types of attacks in distributed systems?
Link to bioRxiv paper: http://biorxiv.org/cgi/content/short/2022.12.22.521493v1?rss=1 Authors: Kaiyrbekov, K., Endresen, K., Sullivan, K., Chen, Y., Zheng, Z., Serra, F., Camley, B. A. Abstract: Collective movement and organization of cell monolayers are important for wound healing and tissue development. Recent experiments highlighted the importance of liquid crystal order within these layers, suggesting that +1 topological defects have a role in organizing tissue morphogenesis. We study fibroblast organization, motion and proliferation on a substrate with micron-sized ridges that induce +1 and -1 topological defects using simulation and experiment. We model cells as self-propelled deformable ellipses that interact via a Gay-Berne potential. Unlike earlier work on other cell types, we see that density variation near defects is not explained by collective migration. We propose instead that fibroblasts have different division rates depending on their area and aspect ratio. This model captures key features of our previous experiments: the alignment quality worsens at high cell density and, at the center of the +1 defects, cells can adopt either highly anisotropic or primarily isotropic morphologies. Experiments performed with different ridge heights confirm a new prediction of this model: suppressing migration across ridges promotes higher cell density at the +1 defect. Our work enables new mechanisms for tissue patterning using topological defects. Copy rights belong to original authors. Visit the link for more info Podcast created by Paper Player, LLC
Intro We're joined today by a familiar voice, Dr Paolo Molignini. Paolo will be leaving us soon, so this month we thought we would give a little insight into one of the people behind the podcast. Paolo is a postdoctoral research associate in the Theory of Condensed Matter group here at the Cavendish, bringing together elements of nonequilibrium physics, topological phases of matter, quantum optics and quantum simulation. Born in Switzerland, he gained his BSc, MSc, and PhD in Physics from ETH Zurich before taking up a postdoctoral position in the Quantum Systems Engineering group at Oxford. His research involves developing several software applications for modelling quantum systems, including UNIQORN, which applies machine learning to model systems of ultra-cold atoms. On top of this, Paolo has found time to contribute to several outreach programmes; producing a series of videos on superconductors during his time at Oxford, creating a doodle video on topological insulators for the first online Cambridge Science Festival, as well as hosting a monthly podcast looking at the people behind the physics research taking place at the Cavendish. Today, we'll talk about his experiences growing up in southern Switzerland, his path from Civil Engineer to Physicist, the work he does as a theoretician working in an experimental laboratory, and where this will take him next. Stay with us… Please help us get better by taking our quick survey! Your feedback will help us understand how we can improve in the future. Thank you for your time.[00:36] – Guest's intro[02:02] – Current role at the Cavendish [03:00] – More about Topological materials[04:37] – Early interest in Science [06:20] – Choosing Physics [11:00] – Gravitating towards Condensed matter physics [14:30] – Finding the PhD role and finding funding [18:05] – In the news this month we talk about phase transitions. Whether we boil water or cook pasta, a phase transition is taking place. Matter can appear in many more different phases, some of which have an inherently quantum origin, such as superfluids or ferromagnets. While some of the classical phase transitions have been known for centuries, in recent years we have started to discover and study new exciting kinds of phase transitions at the quantum level which could be soon harnessed for incredible new technologies.[21:41] – Further News discussion with the guest Dr Paolo Molignini: Extending topological invariants to finite temperatures [24:23] – Further News discussion with the guest Dr Paolo Molignini: Making an insulator topological by changing the temperature [25:10] – Perception about research as a whole [27:37] – Challenges with getting research papers published in journals[29:41] – Successful way in research is to specialise in a sub-field and become leaders in that field[31:19] – Experience during PhD and enlarging skillsets (computing) [32:55] – Next career move as a postdoc and pandemic[36:30] – Interest in outreach and doing the podcast [38:11] – What is next? [41:00] – Outro--- Useful links: Visit TCM Group to understand more about the Theory of Condensed Matter research groupRead the article on this month's news - Topological phase transitions at finite temperature Pre-print link of the Research Paper for this
Radiation from Global Topological Strings using Adaptive Mesh Refinement: Massive Modes by Amelia Drew et al. on Monday 21 November We implement adaptive mesh refinement (AMR) simulations of global topological strings using the public code, GRChombo. We perform a quantitative investigation of massive radiation from single sinusoidally displaced string configurations, studying a range of string widths defined by the coupling parameter $lambda$ over two orders of magnitude, effectively varying the mass of radiated particles $m_H sim sqrt{lambda}$. We perform an in-depth investigation into the effects of AMR on massive radiation emission, including radiation trapping and the refinement required to resolve high frequency modes. We use quantitative diagnostic tools to determine the eigenmode decomposition, showing a complex superposition of high frequency propagating modes with different phase and group velocities. We conclude that massive radiation is generally strongly suppressed relative to the preferred massless channel, with suppression increasing at lower amplitudes and higher $lambda$. Only in extreme nonlinear regimes (e.g. with relative amplitude $varepsilon sim 1.5$ and $lambda < 1$) do we observe massive and massless radiation to be emitted at comparable magnitude. We find that massive radiation is emitted in distinct high harmonics of the fundamental frequency of the string, and we demonstrate that, for the sinusoidal configurations studied, massive radiation is exponentially suppressed with $sqrt{lambda}$ (i.e. the particle mass). Finally, we place these results in the context of axions and gravitational waves produced by cosmological cosmic string networks, and note that AMR provides a significant opportunity to explore higher $lambda$ (thin string) regimes whilst using fewer computational resources. arXiv: http://arxiv.org/abs/http://arxiv.org/abs/2211.10184v1
Dr. Lance Eliot explains topological maps of the law for AI in the law. See his website www.ai-law.legal for further information.
In this episode, we discuss the 'binding problem' of consciousness, and how it can be broken down into manageable subcomponents. We suggest that any solution to the binding problem must avoid strong emergence, side-step the hard problem of consciousness, circumvent epiphenomenalism, and be compatible with the modern scientific word picture. We then explain that "the binding problem" as stated is in fact conceptually insoluble, and should be reformulated as the "boundary problem". Finally, we present what we believe is a plausible solution to the boundary problem: topological segmentation.
Dr Janine Krippner, Volcanologist, Honorary Associate Researcher, University of Waikato, New Zealand, talks about empowering students in scientific thinking at her primary school by donating an annual award; Dr Agnese Barbensi, applied mathematician, University of Melbourne, previously at Oxford for her PhD, discusses mathematics in cancer and brain research and her role in advancing topological data analysis; Dr Sarah Best, WEHI, talks about treating brain cancer and the Dine for a Cure gala dinner to support the Brain Cancer Centre; and in weekly science news, the team discuss the reintroduction of Cheetahs into India. With presenters Dr. Shane and Dr Ailie.Program page: Einstein-A-Go-GoFacebook page: Einstein-A-Go-GoTwitter: Einstein-A-Go-Go
Episode36: An 85-year-old idea may hold the key to nearly error-free qubits. The Majorana fermion has taken on almost mythical status, but Microsoft recently solved a critical technical hurdle to creating topological qubits with the particle. How close are we to quantum computers with this technology? What other future developments can we expect from Azure Quantum? Join host Konstantinos Karagiannis for a chat on topological quantum computing with Anita Ramanan from Microsoft Azure Quantum.For more on Microsoft Azure Quantum, visit https://azure.microsoft.com/en-us/services/quantum/. To read the paper cited in this episode, visit https://arxiv.org/pdf/2207.02472.pdf. Visit Protiviti at www.protiviti.com/postquantum to learn more about how Protiviti is helping organizations get post-quantum ready.Follow host Konstantinos Karagiannis on Twitter and Instagram: @KonstantHacker and follow Protiviti Technology on LinkedIn and Twitter: @ProtivitiTech. Contact Konstantinos at konstantinos.karagiannis@protiviti.com. Questions and comments are welcome! Theme song by David Schwartz. Copyright 2021.
Modern microelectronics is currently facing a profound challenge. The demand for even smaller and more closely packed electronics has hit a stumbling block: the power emitted in these devices releases more heat than can be efficiently removed. Now, Professors Valerii Vinokur, Anna Razumnaya, and Igor Lukyanchuk propose a solution based on the seemingly counterintuitive phenomenon of ‘negative capacitance'. The effect is surprisingly linked to an intriguing topological structure, which is found time and again across a broad range of scientific fields.
In this episode of ML4Q&A, Federico Grasselli (Postdoc, Bruss group) speaks to Kathrin Dorn, PhD student in the group of Reinhold Egger, head of the Institute for Theoretical Physcs IV in Düsseldorf. They talk about Kathrin's PhD project and how she started off to combine maths, physics and arts in her studies and ended up in analyzing theoretical aspects in topological insulators. 00:00 intro 00:56 searching for a study topic 02:50 from medical physics to condensed matter theory 05:50 joining the ML4Q cluster 08:42 plans for the future after the PhD 10:30 so what are topological insulators? 13:42 why are topological insulators an interesting field of study 22:25 where can we find topological insulators? 23:25 how about topological quantum computing? 25:00 how do you perceive the future of the field? 28:16 1 or 2? Visit https://ml4q.de/ml4qa/ for more podcast episodes Visit https://ml4q.de/stories/ for more stories from our researchers at ML4Q Follow us on twitter: https://twitter.com/ML4Q_cluster Visit the homepage of Reinhold Egger's institute: https://www.tp4.hhu.de/en/ Contact Kathrin via E-mail: kathrin.dorn(at)uni-duesseldorf.de Host: Federico Grasselli Music: Technology by Keys of Moon | https://soundcloud.com/keysofmoon Music promoted by https://www.free-stock-music.com Attribution 4.0 International (CC BY 4.0) https://creativecommons.org/licenses/by/4.0/ Discovery by Scott Buckley | https://soundcloud.com/scottbuckley Music promoted by https://www.free-stock-music.com Attribution 4.0 International (CC BY 4.0) https://creativecommons.org/licenses/by/4.0/ Title: Lunar Levitation Artist: Aakash Gandhi
Graph Machine Learning using 3D Topological Models --- Send in a voice message: https://anchor.fm/mayur-m-mistry/message
Добрый день уважаемые слушатели. Представляем новый выпуск подкаста RWpod. В этом выпуске: Ruby Rails 7.0: Fulfilling a vision PostgreSQL generated columns in Rails Authenticate By for preventing timing-based enum attacks Creating and testing gRPC server interceptors in Ruby 4 tips on how to make more out of Sidekiq Rails.new - from New Mac to Rails Development in 11 Minutes Extralite - a new Ruby gem for working with SQLite databases Cable-shared-worker (CableSW) - ActionCable and AnyCable Shared Worker support How to use Kredis with Rails (video) Web HTTP/3 is Fast React Conf 2021 Recap Array.prototype.groupBy to the rescue! Topological sort Deep-copying in JavaScript using structuredClone Patterns.dev - a free book on design patterns Caterwaul - an JavaScript-to-JavaScript Compiler
Welcome to The Nonlinear Library, where we use Text-to-Speech software to convert the best writing from the Rationalist and EA communities into audio. This is: Topological Fixed Point Exercises, published by Scott Garrabrant, Sam Eisenstat on the AI Alignment Forum. This is one of three sets of fixed point exercises. The first post in this sequence is here, giving context. 1. (1-D Sperner's lemma) Consider a path built out of n edges as shown. Color each vertex blue or green such that the leftmost vertex is blue and the rightmost vertex is green. Show that an odd number of the edges will be bichromatic. 2. (Intermediate value theorem) The Bolzano-Weierstrass theorem states that any bounded sequence in R n has a convergent subsequence. The intermediate value theorem states that if you have a continuous function f 0 1 → R such that f 0 ≤ 0 and f 1 ≥ 0 , then there exists an x ∈ 0 1 such that f x 0 . Prove the intermediate value theorem. It may be helpful later on if your proof uses 1-D Sperner's lemma and the Bolzano-Weierstrass theorem 3. (1-D Brouwer fixed point theorem) Show that any continuous function f 0 1 → 0 1 has a fixed point (i.e. a point x ∈ 0 1 with f x x ). Why is this not true for the open interval 0 1 4. (2-D Sperner's lemma) Consider a triangle built out of n 2 smaller triangles as shown. Color each vertex red, blue, or green, such that none of the vertices on the large bottom edge are red, none of the vertices on the large left edge are green, and none of the vertices on the large right edge are blue. Show that an odd number of the small triangles will be trichromatic. 5. Color the all the points in the disk as shown. Let f be a continuous function from a closed triangle to the disk, such that the bottom edge is sent to non-red points, the left edge is sent to non-green points, and the right edge is sent to non-blue points. Show that f sends some point in the triangle to the center. 6. Show that any continuous function f from closed triangle to itself has a fixed point. 7. (2-D Brouwer fixed point theorem) Show that any continuous function from a compact convex subset of R 2 to itself has a fixed point. (You may use the fact that given any closed convex subset S of R n , the function from R n to S which projects each point to the nearest point in S is well defined and continuous.) 8. Reflect on how non-constructive all of the above fixed-point findings are. Find a parameterized class of functions where for each t ∈ 0 1 f t 0 1 → 0 1 , and the function t ↦ f t is continuous, but there is no continuous way to pick out a single fixed point from each function (i.e. no continuous function g such that g t is a fixed point of f t for all t 9. (Sperner's lemma) Generalize exercises 1 and 4 to an arbitrary dimension simplex. 10. (Brouwer fixed point theorem) Show that any continuous function from a compact convex subset of R n to itself has a fixed point. 11. Given two nonempty compact subsets A B ⊆ R n , the Hausdorff distance between them is the supremum max sup a ∈ A d a B sup b ∈ B d b A over all points in either subset of the distance from that point to the other subset. We call a set valued function f S → 2 T a continuous Hausdorff limit if there is a sequence f n of continuous functions from S to T whose graphs, x y ∣ y f n x ⊆ S × T , converge to the graph of f x y ∣ f x ∋ y ⊆ S × T , in Hausdorff distance. Show that every continuous Hausdorff limit f T → 2 T from a compact convex subset of R n to itself has a fixed point (a point x such that x ∈ f x 12. Let S and T be nonempty compact convex subsets of R n . We say that a set valued function, f S → 2 T is a Kakutani function if the graph of f x y ∣ f x ∋ y ⊆ S × T , is closed, and f x is convex and nonempty for all x ∈ S . For example, we could take S and T to be the interval 0 1 , and we could have f S → 2 T send each x 1 2 to 0 , map x 1 2 to the whole interval 0 1 , and map x 1 2 to 1 . Show that every Kakutani function is a continuous Hausdorff limit. (H...
In computer science, a topological sort or topological ordering of a directed graph is a linear ordering of its vertices such that for every directed edge uv from vertex u to vertex v, u comes before v in the ordering. ... Topological sorting has many applications especially in ranking problems such as feedback arc set
Topological phases were discovered in condensed matter physics and recently extended to classical physics such as topological mechanical metamaterials. Their study and realization in soft-matter and biological systems has only started to develop. In this talk we discuss how topological phases may determine the behavior of nonlinear dynamical systems that arise, for example, in population dynamics. We have shown that topological phases can be realized with the anti-symmetric Lotka-Volterra equation (ALVE). The ALVE is a paradigmatic model system in population dynamics and governs, for example, the evolutionary dynamics of zero-sum games, such as the rock-paper-scissors game [1], but also describes the condensation of non-interacting bosons in driven-dissipative set-ups [2]. We have shown that for the ALVE, defined on a one-dimensional chain of rock-paper-scissors cycles, robust polarization emerges at the chain’s edge [3]. The system undergoes a transition from left to right polarization as the control parameter passes through a critical value. At the critical point, solitary waves are observed. We found that the polarization states are topological phases and that this transition is indeed a topological phase transition. Remarkably, this phase transition falls into symmetry class D within the “ten-fold way” classification scheme of gapped free-fermion systems, which also applies, for example, to one-dimensional topological superconductors. Beyond the observation of topological phases in the ALVE, it might be possible to generalize the approach of our work to other dynamical systems in biological physics whose attractors are nonlinear oscillators or limit cycles. [1] J. Knebel, T. Krüger, M. F. Weber, and E. Frey, Phys. Rev. Lett. 110, 168106 (2013). [2] J. Knebel, M. F. Weber, T. Krüger, and E. Frey, Nature Communications 6, 6977 (2015). [3] J. Knebel, P. M. Geiger, and E. Frey, Phys. Rev. Lett. (in press) [arXiv:2009.01780].
What do you do when you're working on what could be the world's most powerful quantum computer … but it's not quite ready? Well, you give access to other powerful systems via your cloud environment. Join host Konstantinos Karagiannis for a chat about Microsoft Azure Cloud with Paul Edlund, Chief Technologist – Midwest for Microsoft. Paul and Konstantinos discuss software development environments and abstracting away complexity, muse on when or if topological computing will arrive (and explain it), and offer glimpses into the coming years from Microsoft's pure science team. For more information on Azure Quantum, visit https://azure.microsoft.com/en-us/services/quantum/.Visit www.protiviti.com/postquantum to learn more about how Protiviti is helping organizations get post-quantum ready.Follow host Konstantinos Karagiannis on Twitter and Instagram: @KonstantHacker Theme song by David Schwartz, copyright 2021.
3:24:59 – Frank in New Jersey, plus the Other Side. Topics include: Graduation ceremonies, theory on the hats, my mother passed away, PEPs, The Ventures, Tape Land, Greg the Bunny, beverage review (W*nder CBD Breakfast Club), Theme from A Summer Place, Bobby Darin’s Dream Car, A Summer Place (1959), Be Bop Deluxe, Miss Rheingold, Onsug Radio player, […]
Rodrigo Rivera is a machine learning researcher at the Advanced Data Analytics in Science and Engineering Group at Skoltech and technical director of Samsung Next. He's previously been in data science and research leadership roles at companies all around the world including Rocket Internet and Philip-Morris. Learn more about Rodrigo: https://rodrigo-rivera.com/ (https://rodrigo-rivera.com/) https://twitter.com/rodrigorivr (https://twitter.com/rodrigorivr) Every Thursday I send out the most useful things I've learned, curated specifically for the busy machine learning engineer. Sign up here: https://www.cyou.ai/newsletter (https://www.cyou.ai/newsletter) Follow Charlie on Twitter: https://twitter.com/CharlieYouAI (https://twitter.com/CharlieYouAI) Subscribe to ML Engineered: https://mlengineered.com/listen (https://mlengineered.com/listen) Comments? Questions? Submit them here: http://bit.ly/mle-survey (http://bit.ly/mle-survey) Take the Giving What We Can Pledge: https://www.givingwhatwecan.org/ (https://www.givingwhatwecan.org/) Timestamps: 03:00 How Rodrigo got started in computer science and started his first company 10:40 Rodrigo's experiences leading data science teams at Rocket Internet and PMI 26:15 Leaving industry to get a PhD in machine learning 28:55 Data science collaboration between business and academia 32:45 Rodrigo's research interest in time series data 39:25 Topological data analysis 45:35 Framing effective research as a startup 48:15 Neural Prophet 01:04:10 The potential future of Julia for numerical computing 01:08:20 Most exciting opportunities for ML in industry 01:15:05 Rodrigo's advice for listeners 01:17:00 Rapid fire questions Links: https://scholar.google.de/citations?user=nQGmpjUAAAAJ&hl=en (Rodrigo's Google Scholar) http://adase.group (Advanced Data Analytics in Science and Engineering Group) http://neuralprophet.com (Neural Prophet) https://en.wikipedia.org/wiki/Makridakis_Competitions (M-Competitions) https://www.cambridge.org/us/academic/subjects/engineering/communications-and-signal-processing/machine-learning-refined-foundations-algorithms-and-applications-2nd-edition?format=HB (Machine Learning Refined) https://cs.nyu.edu/~mohri/mlbook/ (Foundations of Machine Learning) http://www.dcs.gla.ac.uk/~srogers/firstcourseml/ (A First Course in Machine Learning)
Today, I'm excited to welcome Professor Mike Kosterlitz to the podcast. Professor Kosterlitz won the 2016 Nobel Prize in Physics for his work on topological phase transitions and exotic states of matter. He is a very close family friend by way of my Dad, who is his longtime colleague and lunch buddy. They talk physics over lunch every week, and I sometimes am lucky enough to join in, which is always an honor and a delight. On today's episode, we dive into his Nobel Prize-winning work with David Thouless, and how physics research can be similar to rock climbing. We discuss topics in applied math and using topology for describing phase transitions in two-dimensional materials, and in the pursuit of the theory of everything. We also explore the frontier of quantum computing, emerging technologies, and various trends in our world. During our conversation, we also talk about creativity, resilience, and the human condition. We hope you enjoy. --- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/app --- Send in a voice message: https://anchor.fm/daniel-ling/message
In this episode of Relatively Certain, Dina Genkina sits down with JQI Fellow Jay Sau, an associate professor of physics at UMD, and Johnpierre Paglione, a professor of physics at UMD and the director of the Quantum Materials Center.
Active systems, from cells and bacteria to flocks of birds, harvest chemical energy which they use to move and to control the complex processes needed for life. A goal of biophysicists is to construct new physical theories to understand these living systems, which operate far from equilibrium. Topological defects are key to the behaviour of certain dense active systems and, surprisingly, there is increasing evidence that they may play a role in the biological functioning of bacterial and epithelial cells.