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DTSTART;TZID=America/New_York:20240202T100000
DTEND;TZID=America/New_York:20240202T113000
DTSTAMP:20260414T055913
CREATED:20240129T153031Z
LAST-MODIFIED:20240130T205926Z
UID:10001318-1706868000-1706873400@cmsa.fas.harvard.edu
SUMMARY:Quantum Circuits to local Hamiltonian: role in quantum complexity and new constructions 
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Anurag Anshu (Harvard) \nTitle: Quantum Circuits to local Hamiltonian: role in quantum complexity and new constructions \nAbstract: At the heart of the theory of NP completeness lies a mapping from classical circuits to constraint satisfaction problems (classical local Hamiltonians). \nThe quantum analogue of this is the remarkable history state construction of Kitaev (building upon Feynman’s work). This talk will provide an introduction to this mapping and its crucial role in bridging quantum computer science and quantum many-body physics research. Then\, we will describe a new mapping using tensor networks and quantum fault tolerance (https://arxiv.org/abs/2309.16475). Time permitting\, we will discuss the relevance of this mapping to the quantum PCP conjecture.
URL:https://cmsa.fas.harvard.edu/event/qm_2224/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.02.24.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240206T160000
DTEND;TZID=America/New_York:20240206T173000
DTSTAMP:20260414T055913
CREATED:20240131T153258Z
LAST-MODIFIED:20240205T193624Z
UID:10001505-1707235200-1707240600@cmsa.fas.harvard.edu
SUMMARY:Flavor hierarchy from smooth confinement & Towards a complete classification of 6d supergravities
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Yuta Hamada (KEK\, Tsukuba) \nTitle: Flavor hierarchy from smooth confinement & Towards a complete classification of 6d supergravities \nAbstract: The talk consists of two independent parts. In the first part\, I will talk about a new model to explain the Standard Model flavor hierarchy. Our model is based on explicit smooth confinement. The smallness of the first- and second-family fermion masses is explained by the exponential hierarchy via dimensional transmutation. In the second part\, I will talk about a classification of 6D supergravities. We make progress towards a complete classification of 6D supergravities with minimal supersymmetry and non-abelian gauge group. \nReferences – arXiv: 2209.15244\, 2309.15152\, 2311.00868 \n 
URL:https://cmsa.fas.harvard.edu/event/qm_2624/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.06.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240209T093000
DTEND;TZID=America/New_York:20240209T110000
DTSTAMP:20260414T055913
CREATED:20240205T162614Z
LAST-MODIFIED:20240207T184606Z
UID:10001506-1707471000-1707476400@cmsa.fas.harvard.edu
SUMMARY:Quantum Algorithms to Recognize Phases of Matter and Exactly Solvable 2D Models with Anomalous Entanglement Entropy
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Soonwon Choi (MIT) \nTitle: Quantum Algorithms to Recognize Phases of Matter and  Exactly Solvable 2D Models with Anomalous Entanglement Entropy \nAbstract: In this talk\, I will report my two recent results at the intersection of quantum information and strongly interacting phases of matters. \nIn the first half of the talk\, we describe exact quantum algorithms that recognize a class of 1D gapped phases\, namely symmetry protected topological phases or spontaneous symmetry breaking phases protected by abelian internal symmetry. The key idea is to observe the conceptual similarity between renormalization group (RG) flow and error correction\, and to implement the latter as unitary circuits emulating the RG flow. Our algorithm guarantees faithful recognition of a target phase with a small number of input quantum state samples. \nIn the second half\, we present a class of 2D Hamiltonians\, where the exact ground state wavefunctions can be exactly evaluated and shown to exhibit anomalous entanglement properties. One class of our models exhibit area-law scaling entanglement entropy\, but this is mostly due to non-local correlation: one finds that the topological entanglement entropy also scales with the size of subsystem choices. By making simple modifications\, we can also devise 2D models with volume-law scaling bipartite entanglement entropy. Our results can be understood as a generation of the 1D Motzkin model to 2D systems. \nBased on work done with Ethan Lake and Shankar Balasubramanian \nhttps://arxiv.org/abs/2211.09803 \nhttps://arxiv.org/abs/2305.07028
URL:https://cmsa.fas.harvard.edu/event/qm-2924/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.09.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240214T160000
DTEND;TZID=America/New_York:20240214T173000
DTSTAMP:20260414T055913
CREATED:20240212T162016Z
LAST-MODIFIED:20240212T211844Z
UID:10002103-1707926400-1707931800@cmsa.fas.harvard.edu
SUMMARY:Quantum Algebra of Chern-Simons Matrix Model and Large N Limit
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Sen Hu (Shanghai Institute for Mathematics and Interdisciplinary Study) \nTitle: Quantum Algebra of Chern-Simons Matrix Model and Large N Limit \nAbstract: In this talk we discuss the algebra of quantum observables of the Chern-Simons matrix model which was originally proposed by Susskind and Polychronakos to describe electrons in fractional quantum Hall effects. We establish the commutation relations for its generators and study the large N limit of its representation. We show that the large N limit algebra is isomorphic to the uniform in N algebra studied by Costello\, which is conjecturally isomorphic to the deformed double current algebra studied by Guay. Under appropriate scaling limit\, we show that the large N limit algebra degenerates to a Lie algebra which admits a surjective map to the affine Lie algebra of u(p). This leads to a complete proof of the large N emergence of the u(p) current algebra as proposed by Dorey\, Tong and Turner. This also suggests a rigorous derivation of edge excitation of a fractional quantum Hall droplet. This is a joint work with Si Li\, Dongheng Ye and Yehao Zhou (arXiv: 2308.14046).
URL:https://cmsa.fas.harvard.edu/event/qm-21424/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter,Seminars
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.14.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240216T103000
DTEND;TZID=America/New_York:20240216T120000
DTSTAMP:20260414T055913
CREATED:20240212T160753Z
LAST-MODIFIED:20240212T212952Z
UID:10001507-1708079400-1708084800@cmsa.fas.harvard.edu
SUMMARY:Programmable Simulations of Molecules and Materials with present-day Reconfigurable Quantum Processors
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Susanne Yelin (Harvard) \nTitle: Programmable Simulations of Molecules and Materials with present-day Reconfigurable Quantum Processors \nAbstract: Simulations of quantum chemistry and quantum materials are believed to be among the most important potential applications of quantum information processors\, but realizing practical quantum advantage for such problems is challenging. We introduce a simulation framework for strongly correlated quantum systems that can be represented by model spin Hamiltonians. Our approach leverages reconfigurable qubit architectures to programmably simulate real-time dynamics and introduces an algorithm for extracting chemically relevant spectral properties via classical co-processing of quantum measurement results. We develop a digital-analog simulation toolbox for efficient Hamiltonian time evolution utilizing digital Floquet engineering and hardware-optimized multi-qubit operations to accurately realize complex spin-spin interactions\, and as an example present an implementation proposal based on Rydberg atom arrays. Then\, we show how detailed spectral and other relevant chemical information can be extracted from these dynamics through snapshot measurements and single-ancilla control\, enabling the evaluation of excitation energies and finite-temperature susceptibilities from a single-dataset. To illustrate the approach\, we show how this method can be used to compute key properties of a polynuclear transition-metal catalyst and 2D magnetic materials.
URL:https://cmsa.fas.harvard.edu/event/qm-21624/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.16.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240223T100000
DTEND;TZID=America/New_York:20240223T113000
DTSTAMP:20260414T055914
CREATED:20240219T193919Z
LAST-MODIFIED:20240220T151759Z
UID:10001508-1708682400-1708687800@cmsa.fas.harvard.edu
SUMMARY:Spontaneously Broken (-1)-form symmetries
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Motoo Suzuki (Harvard) \nTitle: Spontaneously Broken (-1)-form symmetries \nAbstract: Spontaneous breaking of symmetries leads to universal phenomena. We extend this notion to (−1)-form U(1) symmetries. The spontaneous breaking is diagnosed by a dependence of the vacuum energy on a constant background field θ\, which can be probed by the topological susceptibility. This leads to a reinterpretation of the Strong CP problem as arising from a spontaneously broken instantonic symmetry in QCD. We discuss how known solutions to the problem are unified in this framework and explore some\, so far unsuccessful\, attempts to find new solutions. I will also talk about our ongoing work on the explicit breaking by monopoles.
URL:https://cmsa.fas.harvard.edu/event/qm-22824/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.23.2024.png
END:VEVENT
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