Statistical Properties of Bit Strings Sampled from Sycamore Random Quantum Circuits

Oh, Sangchul; Kais, Sabre

doi:10.1021/acs.jpclett.2c02045

Statistical Properties of Bit Strings Sampled from Sycamore Random Quantum Circuits

Journal Article · 08 August 2022 · Journal of Physical Chemistry Letters

DOI:https://doi.org/10.1021/acs.jpclett.2c02045· OSTI ID:1981938

Oh, Sangchul ^[1]; ^[1]

Department of Chemistry, Department of Physics and Astronomy, and Purdue Quantum Science and Engineering Institute, Purdue University, West Lafayette, Indiana 47907, United States

Not provided.

Research Organization:: National Quantum Information Science (QIS) Research Centers (United States)

Sponsoring Organization:: USDOE

OSTI ID:: 1981938

Journal Information:: Journal of Physical Chemistry Letters, Vol. 13, Issue 32; ISSN 1948-7185

Publisher:: American Chemical Society

Country of Publication:: United States

Language:: English

References (33)

Simulating physics with computers Feynman, Richard P. International Journal of Theoretical Physics, Vol. 21, Issue 6-7 https://doi.org/10.1007/BF02650179	journal	June 1982
Quantum computational supremacy Harrow, Aram W.; Montanaro, Ashley Nature, Vol. 549, Issue 7671 https://doi.org/10.1038/nature23458	journal	September 2017
Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer Shor, Peter W. SIAM Journal on Computing, Vol. 26, Issue 5 https://doi.org/10.1137/S0097539795293172	journal	October 1997
Quantum Algorithm for Linear Systems of Equations Harrow, Aram W.; Hassidim, Avinatan; Lloyd, Seth Physical Review Letters, Vol. 103, Issue 15 https://doi.org/10.1103/PhysRevLett.103.150502	journal	October 2009
On the complexity and verification of quantum random circuit sampling Bouland, Adam; Fefferman, Bill; Nirkhe, Chinmay Nature Physics, Vol. 15, Issue 2 https://doi.org/10.1038/s41567-018-0318-2	journal	October 2018
Quantum supremacy using a programmable superconducting processor Arute, Frank; Arya, Kunal; Babbush, Ryan Nature, Vol. 574, Issue 7779 https://doi.org/10.1038/s41586-019-1666-5	journal	October 2019
Strong Quantum Computational Advantage Using a Superconducting Quantum Processor Wu, Yulin; Bao, Wan-Su; Cao, Sirui Physical Review Letters, Vol. 127, Issue 18 https://doi.org/10.1103/PhysRevLett.127.180501	journal	October 2021
Quantum computational advantage using photons Zhong, Han-Sen; Wang, Hui; Deng, Yu-Hao Science, Vol. 370, Issue 6523 https://doi.org/10.1126/science.abe8770	journal	December 2020
The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics Dyson, Freeman J. Journal of Mathematical Physics, Vol. 3, Issue 6 https://doi.org/10.1063/1.1703863	journal	November 1962
A blueprint for demonstrating quantum supremacy with superconducting qubits Neill, C.; Roushan, P.; Kechedzhi, K. Science, Vol. 360, Issue 6385 https://doi.org/10.1126/science.aao4309	journal	April 2018
Universality of eigenvector statistics of kicked tops of different symmetries Kus, M.; Mostowski, J.; Haake, F. Journal of Physics A: Mathematical and General, Vol. 21, Issue 22 https://doi.org/10.1088/0305-4470/21/22/006	journal	November 1988
Random-matrix description of chaotic scattering: Semiclassical approach Blümel, R.; Smilansky, U. Physical Review Letters, Vol. 64, Issue 3 https://doi.org/10.1103/PhysRevLett.64.241	journal	January 1990
Random-matrix theory of quantum transport Beenakker, C. W. J. Reviews of Modern Physics, Vol. 69, Issue 3 https://doi.org/10.1103/RevModPhys.69.731	journal	July 1997
Quantum Signatures of Chaos Haake, Fritz Springer Series in Synergetics https://doi.org/10.1007/978-3-642-05428-0	book	January 2010
Pseudo-Random Unitary Operators for Quantum Information Processing Emerson, J. Science, Vol. 302, Issue 5653 https://doi.org/10.1126/science.1090790	journal	December 2003
Scalable noise estimation with random unitary operators Emerson, Joseph; Alicki, Robert; Życzkowski, Karol Journal of Optics B: Quantum and Semiclassical Optics, Vol. 7, Issue 10 https://doi.org/10.1088/1464-4266/7/10/021	journal	September 2005
Randomized benchmarking of quantum gates Knill, E.; Leibfried, D.; Reichle, R. Physical Review A, Vol. 77, Issue 1 https://doi.org/10.1103/PhysRevA.77.012307	journal	January 2008
Scalable and Robust Randomized Benchmarking of Quantum Processes Magesan, Easwar; Gambetta, J. M.; Emerson, Joseph Physical Review Letters, Vol. 106, Issue 18 https://doi.org/10.1103/PhysRevLett.106.180504	journal	May 2011
Black holes as mirrors: quantum information in random subsystems Hayden, Patrick; Preskill, John Journal of High Energy Physics, Vol. 2007, Issue 09 https://doi.org/10.1088/1126-6708/2007/09/120	journal	September 2007
Operator Spreading in Random Unitary Circuits Nahum, Adam; Vijay, Sagar; Haah, Jeongwan Physical Review X, Vol. 8, Issue 2 https://doi.org/10.1103/PhysRevX.8.021014	journal	April 2018
Simulating Hydrodynamics on Noisy Intermediate-Scale Quantum Devices with Random Circuits Richter, Jonas; Pal, Arijeet Physical Review Letters, Vol. 126, Issue 23 https://doi.org/10.1103/PhysRevLett.126.230501	journal	June 2021
Random matrices: Universality of local spectral statistics of non-Hermitian matrices Tao, Terence; Vu, Van The Annals of Probability, Vol. 43, Issue 2 https://doi.org/10.1214/13-AOP876	journal	March 2015
Über die Erzeugung der Invarianten durch Integration Hurwitz, Adolf Mathematische Werke https://doi.org/10.1007/978-3-0348-4160-3_38	book	January 1963
Random unitary matrices Zyczkowski, K.; Kus, M. Journal of Physics A: Mathematical and General, Vol. 27, Issue 12 https://doi.org/10.1088/0305-4470/27/12/028	journal	June 1994
Characterizing quantum supremacy in near-term devices Boixo, Sergio; Isakov, Sergei V.; Smelyanskiy, Vadim N. Nature Physics, Vol. 14, Issue 6 https://doi.org/10.1038/s41567-018-0124-x	journal	April 2018
Fluctuations of Nuclear Reaction Widths Porter, C. E.; Thomas, R. G. Physical Review, Vol. 104, Issue 2 https://doi.org/10.1103/PhysRev.104.483	journal	October 1956
Random-matrix physics: spectrum and strength fluctuations Brody, T. A.; Flores, J.; French, J. B. Reviews of Modern Physics, Vol. 53, Issue 3 https://doi.org/10.1103/RevModPhys.53.385	journal	July 1981
Circular Law Girko, V. L. Theory of Probability & Its Applications, Vol. 29, Issue 4 https://doi.org/10.1137/1129095	journal	January 1985
Random Matrix Theory and Its Innovative Applications Edelman, Alan; Wang, Yuyang Advances in Applied Mathematics, Modeling, and Computational Science https://doi.org/10.1007/978-1-4614-5389-5_5	book	January 2013
Extremal laws for the real Ginibre ensemble Rider, Brian; Sinclair, Christopher D. The Annals of Applied Probability, Vol. 24, Issue 4 https://doi.org/10.1214/13-AAP958	journal	August 2014
Distribution of Eigenvalues for some sets of Random Matrices Marčenko, V. A.; Pastur, L. A. Mathematics of the USSR-Sbornik, Vol. 1, Issue 4 https://doi.org/10.1070/SM1967v001n04ABEH001994	journal	April 1967
Quantum certification and benchmarking Eisert, Jens; Hangleiter, Dominik; Walk, Nathan Nature Reviews Physics, Vol. 2, Issue 7 https://doi.org/10.1038/s42254-020-0186-4	journal	June 2020
Preparation of an exciton condensate of photons on a 53-qubit quantum computer Sager, LeeAnn M.; Smart, Scott E.; Mazziotti, David A. Physical Review Research, Vol. 2, Issue 4 https://doi.org/10.1103/PhysRevResearch.2.043205	journal	November 2020

Similar Records

Statistical analysis on random quantum circuit sampling by Sycamore and Zuchongzhi quantum processors

Journal Article · 2022 · Physical Review A · OSTI ID:1982757

Oh, Sangchul; Kais, Sabre

Comparison of quantum advantage experiments using random circuit sampling

Journal Article · 2023 · Physical Review A · OSTI ID:2425052

Oh, Sangchul; Kais, Sabre

Boundaries of quantum supremacy via random circuit sampling

Journal Article · 2023 · npj Quantum Information · OSTI ID:2421052

Zlokapa, Alexander; Villalonga, Benjamin; Boixo, Sergio; +1 more

Related Subjects

Chemistry
Science & Technology - Other Topics
Materials Science
Physics

Statistical Properties of Bit Strings Sampled from Sycamore Random Quantum Circuits

Citation Formats

References (33)

Similar Records

Related Subjects