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Quantum circuits that are classically simulatable tell us when quantum computation becomes less powerful than or equivalent to classical computation.
Complexity phase diagram for interacting and long-range bosonic hamiltonians, 2020
Nishad Maskara, Abhinav Deshpande, Adam Ehrenberg, Minh C. Tran, Bill Fefferman, and Alexey V. Gorshkov · 1906
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Elementary gates for quantum computation
Adriano Barenco, Charles H. Bennett, Richard Cleve, David P. DiVincenzo, Norman Margolus, Peter Shor, Tycho Sleator, John A. Smolin, and Harald Weinfurter · 1995
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D Gottesman · 1997
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Efficient classical simulation of random shallow 2d quantum circuits, 2020
John Napp, Rolando L. La Placa, Alexander M. Dalzell, Fernando G. S. L. Brandao, and Aram W. Harrow · 2001
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Quantum circuits that can be simulated classically in polynomial time
Leslie G Valiant · 2002
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Classical simulation of noninteracting-fermion quantum circuits
Barbara M Terhal and David P DiVincenzo · 2002
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Practical scheme for quantum computation with any two-qubit entangling gate
Michael J Bremner, Christopher M Dawson, Jennifer L Dodd, Alexei Gilchrist, Aram W Harrow, Duncan Mortimer, Michael A Nielsen, and Tobias J Osborne · 2002
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D. Perez-Garcia, F. Verstraete, M. M. Wolf, and J. I. Cirac · 2007
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Classical simulation of commuting quantum computations implies collapse of the polynomial hierarchy
Michael J Bremner, Richard Jozsa, and Dan J Shepherd · 2010
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Scalable and robust randomized benchmarking of quantum processes
Easwar Magesan, Jay M Gambetta, and Joseph Emerson · 2011
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Matchgate benchmarking: Scalable benchmarking of a continuous family of many-qubit gates, 2020
Jonas Helsen, Sepehr Nezami, Matthew Reagor, and Michael Walter · 2011
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Colloquium: Nonequilibrium dynamics of closed interacting quantum systems
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The computational complexity of linear optics
Scott Aaronson and Alex Arkhipov · 2011
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Characterizing quantum gates via randomized benchmarking
Easwar Magesan, Jay M. Gambetta, and Joseph Emerson · 2012
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Geometries for universal quantum computation with matchgates
Daniel J Brod and Ernesto F Galvão · 2012
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Matrix computations
Gene H Golub and Charles F Van Loan · 2013
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Jens Eisert, Mathis Friesdorf, and Christian Gogolin · 2015
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Anushya Chandran and CR Laumann · 2015
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Luca D’Alessio, Yariv Kafri, Anatoli Polkovnikov, and Marcos Rigol · 2016
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Average-case complexity versus approximate simulation of commuting quantum computations
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Quantum supremacy using a programmable superconducting processor
Frank Arute, Kunal Arya, Ryan Babbush, Dave Bacon, Joseph C Bardin, Rami Barends, Rupak Biswas, Sergio Boixo, Fernando GSL Brandao, David A Buell, et al · 2019
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Operator Entanglement in Local Quantum Circuits I: Chaotic Dual-Unitary Circuits
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Exact dynamics in dual-unitary quantum circuits
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Exact local correlations in kicked chains
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Maximum velocity quantum circuits
Pieter W. Claeys and Austen Lamacraft · 2020
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Application of a resource theory for magic states to fault-tolerant quantum computing
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Creating ensembles of dual unitary and maximally entangling quantum evolutions
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Exotic equilibration dynamics on a 1-d quantum cnot gate lattice, 2021
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