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Beyond computer science, quantum complexity theory can potentially revolutionize multiple branches of physics, ranging from quantum many-body systems to quantum field theory.
Bounds for the quantity of information transmitted by a quantum communication channel
A. S. Holevo · 1973
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Infinite number of order parameters for spin-glasses
G. Parisi · 1979
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Probabilistic and Statistical Aspects of Quantum Theory
A.S. Holevo · 1982
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Order parameter for spin-glasses
Giorgio Parisi · 1983
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On the method of bounded differences
Colin McDiarmid · 1989
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Asymptotic estimation theory for a finite-dimensional pure state model
Masahito Hayashi · 1998
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Complex systems: a physicist’s viewpoint
Giorgio Parisi · 1999
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Almost every pure state of three qubits is completely determined by its two-particle reduced density matrices
N. Linden, S. Popescu, and W. K. Wootters · 2002
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The parts determine the whole in a generic pure quantum state
N. Linden and W. K. Wootters · 2002
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Fault-tolerant quantum computation by anyons
A Yu Kitaev · 2003
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Collective versus local measurements in a qubit mixed-state estimation
E. Bagan, M. Baig, R. Muñoz Tapia, and A. Rodriguez · 2004
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Adaptive quantum computation, constant depth quantum circuits and arthur-merlin games
Barbara M. Terhal and David P. DiVincenzo · 2004
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String-net condensation: A physical mechanism for topological phases
Michael A Levin and Xiao-Gang Wen · 2005
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Quantum state estimation and large deviations
M. Keyl · 2006
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Quantum marginal problem and n-representability
Alexander A Klyachko · 2006
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Classical simulation of quantum many-body systems with a tree tensor network
Y.-Y. Shi, L.-M. Duan, and G. Vidal · 2006
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Matrix product states represent ground states faithfully
F. Verstraete and J. I. Cirac · 2006
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Consistency of local density matrices is qma-complete, 2007
Yi-Kai Liu · 2007
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PEPS as unique ground states of local hamiltonians
David Perez-Garcia, Frank Verstraete, J. Ignacio Cirac, and Michael M. Wolf · 2007
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Matrix product state representations
D. Perez-Garcia, F. Verstraete, M. M. Wolf, and J. I. Cirac · 2007
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Entanglement renormalization and topological order
Miguel Aguado and Guifré Vidal · 2008
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Optimal estimation of qubit states with continuous time measurements
Mădălin Guţă and Jonas Kahn · 2008
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Quantum entanglement
Ryszard Horodecki, Paweł Horodecki, Michał Horodecki, and Karol Horodecki · 2009
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Exact entanglement renormalization for string-net models
Robert König, Ben W. Reichardt, and Guifré Vidal · 2009
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Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
Xie Chen, Zheng-Cheng Gu, and Xiao-Gang Wen · 2010
Cited alongside, same era.
Efficient quantum state tomography
Marcus Cramer, Martin B. Plenio, Steven T. Flammia, Rolando Somma, David Gross, Stephen D. Bartlett, Olivier Landon-Cardinal, David Poulin, and Yi-Kai Liu · 2010
Cited alongside, same era.
Quantum state tomography via compressed sensing
D. Gross, Y. Liu, S. T. Flammia, S. Becker, and J. Eisert · 2010
Efficient quantum tomography ii
R. O’Donnell and J. Wright · 2017
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Quantum state tomography via reduced density matrices
Tao Xin, Dawei Lu, Joel Klassen, Nengkun Yu, Zhengfeng Ji, Jianxin Chen, Xian Ma, Guilu Long, Bei Zeng, and Raymond Laflamme · 2017
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Shadow tomography of quantum states
Scott Aaronson · 2018
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Constraints on correlations in multiqubit systems
Nikolai Wyderka, Felix Huber, and Otfried Gühne · 2018
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Scalable bayesian hamiltonian learning
Tim J. Evans, Robin Harper, and Steven T. Flammia · 2019
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Uniquely determined pure quantum states need not be unique ground states of quasi-local hamiltonians
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Cited alongside, same era.
Restricted numerical range: A versatile tool in the theory of quantum information
Piotr Gawron, Zbigniew Puchała, Jarosław Adam Miszczak, Łukasz Skowronek, and Karol Ż yczkowski · 2010
Cited alongside, same era.
Quantum Computation and Quantum Information: 10th Anniversary Edition
M. A. Nielsen and I. L. Chuang · 2011
Cited alongside, same era.
Product numerical range in a space with tensor product structure
Zbigniew Puchała, Piotr Gawron, Jarosław Adam Miszczak, Łukasz Skowronek, Man-Duen Choi, and Karol Życzkowski · 2011
Cited alongside, same era.
Quantum tomography via compressed sensing: Error bounds, sample complexity, and efficient estimators
S. T. Flammia, D. Gross, Y. Liu, and J. Eisert · 2012
Cited alongside, same era.
Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimators
Steven T Flammia, David Gross, Yi-Kai Liu, and Jens Eisert · 2012
Cited alongside, same era.
Uniqueness of quantum states compatible with given measurement results
Jianxin Chen, Hillary Dawkins, Zhengfeng Ji, Nathaniel Johnston, David Kribs, Frederic Shultz, and Bei Zeng · 2013
Cited alongside, same era.
Salini Karuvade, Peter D. Johnson, Francesco Ticozzi, and Lorenza Viola · 2019
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Quantum overlapping tomography
Jordan Cotler and Frank Wilczek · 2020
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Fast state tomography with optimal error bounds
M Guţă, J Kahn, R Kueng, and J A Tropp · 2020
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Predicting many properties of a quantum system from very few measurements
Hsin-Yuan Huang, Richard Kueng, and John Preskill · 2020
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Improved quantum data analysis
Costin Bădescu and Ryan O’Donnell · 2021
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Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
J. Ignacio Cirac, David Pé rez-García, Norbert Schuch, and Frank Verstraete · 2021
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Learning quantum many-body systems from a few copies, 2021
Cambyse Rouzé and Daniel Stilck França · 2021
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Efficiently preparing schrödinger’s cat, fractons and non-abelian topological order in quantum devices, 2021
Ruben Verresen, Nathanan Tantivasadakarn, and Ashvin Vishwanath · 2021
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NLTS Hamiltonians from good quantum codes, 2022
Anurag Anshu, Nikolas P. Breuckmann, and Chinmay Nirkhe · 2022
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Tight bounds for state tomography with incoherent measurements, 2022
Sitan Chen, Brice Huang, Jerry Li, Allen Liu, and Mark Sellke · 2022
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Linear growth of quantum circuit complexity
Jonas Haferkamp, Philippe Faist, Naga B. T. Kothakonda, Jens Eisert, and Nicole Yunger Halpern · 2022
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Provably efficient machine learning for quantum many-body problems
Hsin-Yuan Huang, Richard Kueng, Giacomo Torlai, Victor V. Albert, and John Preskill · 2022
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Non-local finite-depth circuits for constructing spt states and quantum cellular automata, 2022
David T. Stephen, Arpit Dua, Ali Lavasani, and Rahul Nandkishore · 2022
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Quantum simulation of quantum phase transitions using the convex geometry of reduced density matrices
Samuel Warren, LeeAnn M. Sager-Smith, and David A. Mazziotti · 2022
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Quantum tomography using state-preparation unitaries
Joran van Apeldoorn, Arjan Cornelissen, András Gilyén, and Giacomo Nannicini · 2023
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