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The transport of conserved quantities like spin and charge is fundamental to characterizing the behavior of quantum many-body systems.
“Unitary designs from statistical mechanics in random quantum circuits” (2019) arXiv:1905.12053
Nicholas Hunter-Jones · 1905
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“On the product of semi-groups of operators”
H. F. Trotter · 1959
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“Generalized trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems”
Masuo Suzuki · 1976
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“Quantum statistical mechanics in a closed system”
J. M. Deutsch · 1991
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“Chaos and quantum thermalization”
Mark Srednicki · 1994
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“Stabilization of quantum computations by symmetrization”
Adriano Barenco, André Berthiaume, David Deutsch, Artur Ekert, Richard Jozsa, and Chiara Macchiavello · 1997
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“Dynamical suppression of decoherence in two-state quantum systems”
Lorenza Viola and Seth Lloyd · 1998
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“The approach to thermal equilibrium in quantized chaotic systems”
Mark Srednicki · 1999
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“Quantum algorithms for fermionic simulations”
G. Ortiz, J. E. Gubernatis, E. Knill, and R. Laflamme · 2001
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“Quantum fingerprinting”
Harry Buhrman, Richard Cleve, John Watrous, and Ronald de Wolf · 2001
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“Simulating physical phenomena by quantum networks”
R. Somma, G. Ortiz, J. E. Gubernatis, E. Knill, and R. Laflamme · 2002
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“Distribution of local entropy in the Hilbert space of bi-partite quantum systems: origin of Jaynes’ principle”
J. Gemmer and G. Mahler · 2003
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“Competing density-wave orders in a one-dimensional hard-boson model”
Paul Fendley, K. Sengupta, and Subir Sachdev · 2004
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“Gaussian Quantum Fluctuations in Interacting Many Particle Systems”
Michael Hartmann, Günter Mahler, and Ortwin Hess · 2004
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“Interacting electrons in disordered wires: Anderson localization and low- t t transport”
I. V. Gornyi, A. D. Mirlin, and D. G. Polyakov · 2005
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“Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states”
D. M. Basko, I. L. Aleiner, and B. L. Altshuler · 2006
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“Canonical typicality”
Sheldon Goldstein, Joel L. Lebowitz, Roderich Tumulka, and Nino Zanghì · 2006
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“Entanglement and the foundations of statistical mechanics”
Sandu Popescu, Anthony J. Short, and Andreas Winter · 2006
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“Integration with Respect to the Haar Measure on Unitary, Orthogonal and Symplectic Group”
Benoît Collins and Piotr Śniady · 2006
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“Quantum computation and quantum information”
Michael A. Nielsen and Isaac L. Chuang · 2009
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“The density-matrix renormalization group in the age of matrix product states”
Ulrich Schollwöck · 2011
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“Time-dependent variational principle for quantum lattices”
Jutho Haegeman, J. Ignacio Cirac, Tobias J. Osborne, Iztok Pižorn, Henri Verschelde, and Frank Verstraete · 2011
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“Surface code with decoherence: An analysis of three superconducting architectures”
Joydip Ghosh, Austin G. Fowler, and Michael R. Geller · 2012
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“Relations for Certain Symmetric Norms and Anti-norms Before and After Partial Trace”
Alexey E. Rastegin · 2012
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“A practical introduction to tensor networks: Matrix product states and projected entangled pair states”
Román Orús · 2014
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“Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system”
Marko Žnidarič, Antonello Scardicchio, and Vipin Kerala Varma · 2016
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“Bimodal entanglement entropy distribution in the many-body localization transition”
Xiongjie Yu, David J. Luitz, and Bryan K. Clark · 2016
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“Unifying time evolution and optimization with matrix product states”
Jutho Haegeman, Christian Lubich, Ivan Oseledets, Bart Vandereycken, and Frank Verstraete · 2016
Cited alongside, same era.
“Local random quantum circuits are approximate polynomial-designs”
Fernando G. S. L. Brandão, Aram W. Harrow, and Michał Horodecki · 2016
Cited alongside, same era.
“From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics”
Luca D’Alessio, Yariv Kafri, Anatoli Polkovnikov, and Marcos Rigol · 2016
Cited alongside, same era.
“Quantum thermalization dynamics with matrix-product states” (2017) arXiv:1702.08894
Eyal Leviatan, Frank Pollmann, Jens H. Bardarson, David A. Huse, and Ehud Altman · 2017
Cited alongside, same era.
“Efficient variational quantum simulator incorporating active error minimization”
Ying Li and Simon C. Benjamin · 2017
Cited alongside, same era.
“Demonstration of quantum volume 64 on a superconducting quantum computing system”
Petar Jurcevic, Ali Javadi-Abhari, Lev S Bishop, Isaac Lauer, Daniela F Bogorin, Markus Brink, Lauren Capelluto, Oktay Günlük, Toshinari Itoko, Naoki Kanazawa, Abhinav Kandala, George A Keefe, Kevin Krsulich, William Landers, Eric P Lewandowski, Douglas T McClure, Giacomo Nannicini, Adinath Narasgond, Hasan M Nayfeh, Emily Pritchett, Mary Beth Rothwell, Srikanth Srinivasan, Neereja Sundaresan, Cindy Wang, Ken X Wei, Christopher J Wood, Jeng-Bang Yau, Eric J Zhang, Oliver E Dial, Jerry M Chow, and Jay M Gambetta · 2021
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“Simulating the dynamics of braiding of majorana zero modes using an ibm quantum computer”
John P. T. Stenger, Nicholas T. Bronn, Daniel J. Egger, and David Pekker · 2021
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“Controlling quantum many-body dynamics in driven Rydberg atom arrays”
D. Bluvstein, A. Omran, H. Levine, A. Keesling, G. Semeghini, S. Ebadi, T. T. Wang, A. A. Michailidis, N. Maskara, W. W. Ho, and et al · 2021
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“Adaptive variational quantum imaginary time evolution approach for ground state preparation”
Niladri Gomes, Anirban Mukherjee, Feng Zhang, Thomas Iadecola, Cai-Zhuang Wang, Kai-Ming Ho, Peter P Orth, and Yong-Xin Yao · 2021
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“Error mitigation for short-depth quantum circuits”
Kristan Temme, Sergey Bravyi, and Jay M. Gambetta · 2017
Cited alongside, same era.
“Probing many-body dynamics on a 51-atom quantum simulator”
Hannes Bernien, Sylvain Schwartz, Alexander Keesling, Harry Levine, Ahmed Omran, Hannes Pichler, Soonwon Choi, Alexander S Zibrov, Manuel Endres, Markus Greiner, et al · 2017
Cited alongside, same era.
“Energy transport in a disordered spin chain with broken U(1) symmetry: Diffusion, subdiffusion, and many-body localization”
M. Schulz, S. R. Taylor, C. A. Hooley, and A. Scardicchio · 2018
Cited alongside, same era.
“Quantum dynamics of thermalizing systems”
Christopher David White, Michael Zaletel, Roger S. K. Mong, and Gil Refael · 2018
Cited alongside, same era.
“Time-dependent variational principle in matrix-product state manifolds: Pitfalls and potential”
Benedikt Kloss, Yevgeny Bar Lev, and David Reichman · 2018
Cited alongside, same era.
“Quantum computing in the nisq era and beyond”
John Preskill · 2018
Cited alongside, same era.
“Demonstration of fidelity improvement using dynamical decoupling with superconducting qubits”
Bibek Pokharel, Namit Anand, Benjamin Fortman, and Daniel A. Lidar · 2018
Cited alongside, same era.
“Quantum computation of finite-temperature static and dynamical properties of spin systems using quantum imaginary time evolution”
Shi-Ning Sun, Mario Motta, Ruslan N Tazhigulov, Adrian TK Tan, Garnet Kin-Lic Chan, and Austin J Minnich · 2021
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“Quantum gas microscopy of kardar-parisi-zhang superdiffusion”
David Wei, Antonio Rubio-Abadal, Bingtian Ye, Francisco Machado, Jack Kemp, Kritsana Srakaew, Simon Hollerith, Jun Rui, Sarang Gopalakrishnan, Norman Y. Yao, Immanuel Bloch, and Johannes Zeiher · 2022
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“Dissipation-assisted operator evolution method for capturing hydrodynamic transport”
Tibor Rakovszky, C. W. von Keyserlingk, and Frank Pollmann · 2022
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“Quantum dynamics simulations beyond the coherence time on noisy intermediate-scale quantum hardware by variational Trotter compression”
Noah F. Berthusen, Thaís V. Trevisan, Thomas Iadecola, and Peter P. Orth · 2022
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“Automated quantum error mitigation based on probabilistic error reduction”
Benjamin McDonough, Andrea Mari, Nathan Shammah, Nathaniel T. Stemen, Misty Wahl, William J. Zeng, and Peter P. Orth · 2022
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“Observing emergent hydrodynamics in a long-range quantum magnet”
M. K. Joshi, F. Kranzl, A. Schuckert, I. Lovas, C. Maier, R. Blatt, M. Knap, and C. F. Roos · 2022
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“Error-mitigated simulation of quantum many-body scars on quantum computers with pulse-level control”
I-Chi Chen, Benjamin Burdick, Yongxin Yao, Peter P. Orth, and Thomas Iadecola · 2022
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“Evidence of kardar-parisi-zhang scaling on a digital quantum simulator”
Nathan Keenan, Niall Robertson, Tara Murphy, Sergiy Zhuk, and John Goold · 2023
Closest in time.
“Anomalous transport from hot quasiparticles in interacting spin chains”
Sarang Gopalakrishnan and Romain Vasseur · 2023
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“Superdiffusive energy transport in kinetically constrained models”
Marko Ljubotina, Jean-Yves Desaules, Maksym Serbyn, and Zlatko Papić · 2023
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“Open-system spin transport and operator weight dissipation in spin chains”
Yongchan Yoo, Christopher David White, and Brian Swingle · 2023
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“Scalable error mitigation for noisy quantum circuits produces competitive expectation values”
Youngseok Kim, Christopher J. Wood, Theodore J. Yoder, Seth T. Merkel, Jay M. Gambetta, Kristan Temme, and Abhinav Kandala · 2023
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“Quantum error mitigation”
Zhenyu Cai, Ryan Babbush, Simon C. Benjamin, Suguru Endo, William J. Huggins, Ying Li, Jarrod R. McClean, and Thomas E. O’Brien · 2023
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“Evidence for the utility of quantum computing before fault tolerance”
Youngseok Kim, Andrew Eddins, Sajant Anand, Ken Xuan Wei, Ewout van den Berg, Sami Rosenblatt, Hasan Nayfeh, Yantao Wu, Michael Zaletel, Kristan Temme, and Abhinav Kandala · 2023
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“Probabilistic error cancellation with sparse pauli–lindblad models on noisy quantum processors”
Ewout van den Berg, Zlatko K. Minev, Abhinav Kandala, and Kristan Temme · 2023
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“Concentration of quantum equilibration and an estimate of the recurrence time”
Jonathon Riddell, Nathan J. Pagliaroli, and Álvaro M. Alhambra · 2023
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“Reconstructing thermal quantum quench dynamics from pure states”
Jason Saroni, Henry Lamm, Peter P. Orth, and Thomas Iadecola · 2023
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“Adaptive variational quantum minimally entangled typical thermal states for finite temperature simulations”
João C. Getelina, Niladri Gomes, Thomas Iadecola, Peter P. Orth, and Yong-Xin Yao · 2023
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“No-resonance conditions, random matrices, and quantum chaotic models” (2023) arXiv:2307.05417
Jonathon Riddell and Nathan Pagliaroli · 2023
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I.-Chi Chen, João C. Getelina, Klée Pollock, Srimoyee Sen, Yong-Xin Yao, and Thomas Iadecola · 2024
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“Efficient tensor network simulation of ibm’s eagle kicked ising experiment”
Joseph Tindall, Matthew Fishman, E. Miles Stoudenmire, and Dries Sels · 2024
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“Fast and converged classical simulations of evidence for the utility of quantum computing before fault tolerance”
Tomislav Begušić, Johnnie Gray, and Garnet Kin-Lic Chan · 2024
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“Hydrodynamics and the eigenstate thermalization hypothesis” (2024)
Luca Capizzi, Jiaozi Wang, Xiansong Xu, Leonardo Mazza, and Dario Poletti · 2024
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