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The classical simulation of quantum circuits is of central importance for benchmarking near-term quantum devices.
“Simulation of qubit quantum circuits via Pauli propagation”
Patrick Rall, Daniel Liang, Jeremy Cook, and William Kretschmer · 1901
Earlier work this paper cites.
“The Heisenberg Representation of Quantum Computers” (1998)
Daniel Gottesman · 1998
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“Improved simulation of stabilizer circuits”
Scott Aaronson and Daniel Gottesman · 2004
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“Classical Simulation of Quantum Computation, the Gottesman-Knill Theorem, and Slightly Beyond”
Maarten Van Den Nest · 2010
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“Quantum computation and quantum information”
Michael A. Nielsen and Isaac L. Chuang · 2010
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“A variational eigenvalue solver on a photonic quantum processor”
Alberto Peruzzo, Jarrod McClean, Peter Shadbolt, Man-Hong Yung, Xiao-Qi Zhou, Peter J. Love, Alán Aspuru-Guzik, and Jeremy L. O’Brien · 2014
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“A quantum approximate optimization algorithm” (2014)
Edward Farhi, Jeffrey Goldstone, and Sam Gutmann · 2014
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Edward Farhi, Jeffrey Goldstone, and Sam Gutmann · 2015
Earlier work this paper cites.
“Improved Classical Simulation of Quantum Circuits Dominated by Clifford Gates”
Sergey Bravyi and David Gosset · 2016
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“Quantum Supremacy through the Quantum Approximate Optimization Algorithm” (2016)
Edward Farhi and Aram W Harrow · 2016
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“Unbiased simulation of near-Clifford quantum circuits”
Ryan S. Bennink, Erik M. Ferragut, Travis S. Humble, Jason A. Laska, James J. Nutaro, Mark G. Pleszkoch, and Raphael C. Pooser · 2017
Cited alongside, same era.
“Validating quantum computers using randomized model circuits”
Andrew W. Cross, Lev S. Bishop, Sarah Sheldon, Paul D. Nation, and Jay M. Gambetta · 2019
Cited alongside, same era.
“Clifford recompilation for faster classical simulation of quantum circuits”
Hammam Qassim, Joel J. Wallman, and Joseph Emerson · 2019
Cited alongside, same era.
“Variational quantum algorithms”
M. Cerezo, Andrew Arrasmith, Ryan Babbush, Simon C. Benjamin, Suguru Endo, Keisuke Fujii, Jarrod R. McClean, Kosuke Mitarai, Xiao Yuan, Lukasz Cincio, and Patrick J. Coles · 2021
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“Avoiding coherent errors with rotated concatenated stabilizer codes”
Yingkai Ouyang · 2021
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“Efficient Classical Computation of Quantum Mean Values for Shallow QAOA Circuits” (2021)
Wei-Feng Zhuang, Ya-Nan Pu, Hong-Ze Xu, Xudan Chai, Yanwu Gu, Yunheng Ma, Shahid Qamar, Chen Qian, Peng Qian, Xiao Xiao, Meng-Jun Hu, and Dong E. Liu · 2021
Later among the works it cites.
“Simulating quantum circuits with zx-calculus reduced stabiliser decompositions”
Aleks Kissinger and John van de Wetering · 2022
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“Quadratic Clifford expansion for efficient benchmarking and initialization of variational quantum algorithms”
Kosuke Mitarai, Yasunari Suzuki, Wataru Mizukami, Yuya O. Nakagawa, and Keisuke Fujii · 2022
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“Simulation of quantum circuits by low-rank stabilizer decompositions”
Sergey Bravyi, Dan Browne, Padraic Calpin, Earl Campbell, David Gosset, and Mark Howard · 2019
Cited alongside, same era.
“Feynman-path-type simulation using stabilizer projector decomposition of unitaries”
Yifei Huang and Peter Love · 2021
Cited alongside, same era.
“Classical algorithms for quantum mean values”
Sergey Bravyi, David Gosset, and Ramis Movassagh · 2021
Cited alongside, same era.
“6-qubit optimal Clifford circuits”
Sergey Bravyi, Joseph A. Latone, and Dmitri Maslov · 2022
Later among the works it cites.
“Fourier expansion in variational quantum algorithms” (2023)
Nikita A. Nemkov, Evgeniy O. Kiktenko, and Aleksey K. Fedorov · 2023
Closest in time.
“Qiskit: An open-source framework for quantum computing” (2023)
Qiskit contributors · 2023
Closest in time.