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Summer Cluster Final Workshop 2026

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Talk by Hsin-Yuan Huang (Oratomic, Caltech)Hsin-Yuan Huang01h 19m
Argues that large language models plus persistent memory and multi-agent verifier loops already solve many self-contained theory problems: cites the MemGPT…
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Ground Energy estimation of Quantum Impurity model is in BQPJiaqing Jiang01h 03m
Shows that ground-energy estimation for quantum impurity Hamiltonians admits a polynomial-time quantum algorithm that outputs the ground energy to…
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Constant depth pseudoentanglement - Shallow circuits, deep backstoryAndru Gheorghiu01h 03m
Claim: pseudoentangled states are constructible by 2D-local constant-depth (QNC0) circuits that encode an entropy gap of order log N using linear maps turned…
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Quantum architecture for utility scale with HPC, AI and QuantumMatthias Troyer01h 07m
AI+HPC pipeline screens 32 million candidates by atomic substitution, retrains on DFT, validates 583 targets and sends 18 to the lab where one solid‑state…
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Gap Amplification for Local Hamiltonians with Combinatorial SoundnessQuynh T. Nguyen01h 09m
Gives a concrete template that turns a two-local input Hamiltonian into a two-local output Hamiltonian on local dimension 2^{polylog n} and proves…
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Building a Quantum Computer with QLDPC CodesSunny Zhiyang He01h 01m
Overview of concrete claims, tools, and limits: modern proposals replace surface codes with QLDPC memory plus LDPC surgery extractors, use Stim and open…
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Efficient Quantum Algorithm for Heisenberg Spin SystemsBenjamin Wong43m
Shows that a Suzuki‑Fisher family of Heisenberg models (including the antiferromagnet on any bipartite graph and certain sign‑problem cases) has a spectral gap…
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Talk by Chris Pattison (UC Berkeley)Chris Pattison53m
Claim: fault-tolerant universal computation uses only a constant number of global control lines plus a few fully controllable qubits, achieved by compiling 1D…
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Lightning Talks33m
Observation: pure symmetric n‑qubit states satisfy a quantitative de Finetti rigidity: the trace‑distance of any m‑qubit marginal to a product state is at…
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On constant T-depth circuitsIsaac Kim51m
Claims that many basic quantum subroutines admit constant T-depth constructions: single-qubit rotations (including programmable rotation) and the quantum part…
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How did we miss the random purification channel?Ewin Tang01h 02m
An efficient quantum channel converts N copies of a mixed state ρ into N copies of a random purification (the same purification each time), implemented by a…
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Learning the structure of open quantum systemsLaura Lewis54m
Provides efficient algorithms that recover unknown Lindbladians for k‑local, bounded‑degree and some long‑range models, achieving structure learning with total…
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Lightning TalksMICHAEL RAGONE01h 41m
Covers rigorous thermalization rates for the mean-field Heisenberg ferromagnet: proves the Davies-generator spectral gap is constant for non-critical β and…
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Classical algorithms for quantum Gibbs statesAlexander Zlokapa01h 07m
Claims a rigorous classical algorithm that estimates local thermal expectations for SYK by proving a zero‑free disk around β=0 and using Barvinok-style Taylor…
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Fast mixing of all-to-all quantum systems at high temperaturesThiago Bergamaschi01h 08m
Proves that bounded-degree all-to-all k‑local Hamiltonians have a critical temperature above which the Gibbs sampler has a system-size independent spectral…
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Peaked quantum advantage using error correctionSoumik Ghosh51m
Proposes a concrete experiment called Hidden Code Sampling that encodes k logical qubits into n≈120 physical qubits using CSS codes, produces conditional peaks…
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A 3D Self-Correcting Quantum MemoryShankar Balasubramanian, Margarita Davydova01h 41m
Construction gives a family of local CSS stabilizer Hamiltonians in three dimensions whose thermal Lindbladian dynamics have a Gibbs fixed point and whose…
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Fault-Tolerance Against Adversarial Errors & PCPsLouis Golowich01h 37m
Constructs a compiler that turns any logical circuit into a fault‑tolerant physical circuit that tolerates an almost linear number of adversarial bit/qubit…
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Two classical oracle separations between QMA and QCMAJohn Bostanci58m
Claims two explicit classical oracle separations: one called spectral Forrelation and one called code intersection. Both languages are in QMA via a…
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