Simulation of Nonequilibrium Dynamics on a Quantum Computer

Lamm, Henry; Lawrence, Scott

doi:10.1103/physrevlett.121.170501

Title: Simulation of Nonequilibrium Dynamics on a Quantum Computer

Journal Article · 21 October 2018 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.121.170501 · OSTI ID:1610230

Lamm, Henry ^[1]; Lawrence, Scott ^[2]

Univ. of Maryland, College Park, MD (United States); DOE/OSTI
Univ. of Maryland, College Park, MD (United States)

We present a hybrid quantum-classical algorithm for the time evolution of out-of-equilibrium thermal states. Here, the method depends on classically computing a sparse approximation to the density matrix and, then, time-evolving each matrix element via the quantum computer. For this exploratory study, we investigate a time-dependent Ising model with five spins on the Rigetti Forest quantum virtual machine and a one spin system on the Rigetti 8Q-Agave quantum processor.

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Research Organization:: Univ. of Maryland, College Park, MD (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: FG02-93ER40762

OSTI ID:: 1610230

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 17 Vol. 121; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Quantum Computers as Universal Quantum Simulators: State‐of‐the‐Art and Perspectives Tacchino, Francesco; Chiesa, Alessandro; Carretta, Stefano Advanced Quantum Technologies, Vol. 3, Issue 3 https://doi.org/10.1002/qute.201900052	journal	December 2019
Simulating quantum many-body dynamics on a current digital quantum computer Smith, Adam; Kim, M. S.; Pollmann, Frank npj Quantum Information, Vol. 5, Issue 1 https://doi.org/10.1038/s41534-019-0217-0	journal	November 2019
Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution Motta, Mario; Sun, Chong; Tan, Adrian T. K. Nature Physics, Vol. 16, Issue 2 https://doi.org/10.1038/s41567-019-0704-4	journal	November 2019
Simulations of subatomic many-body physics on a quantum frequency processor Lu, Hsuan-Hao; Klco, Natalie; Lukens, Joseph M. Physical Review A, Vol. 100, Issue 1 https://doi.org/10.1103/physreva.100.012320	journal	July 2019
General methods for digital quantum simulation of gauge theories Lamm, Henry; Lawrence, Scott; Yamauchi, Yukari Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/physrevd.100.034518	journal	August 2019
Gluon field digitization for quantum computers Alexandru, Andrei; Bedaque, Paulo F.; Harmalkar, Siddhartha Physical Review D, Vol. 100, Issue 11 https://doi.org/10.1103/physrevd.100.114501	journal	December 2019
Quantum simulation of scattering in the quantum Ising model Gustafson, Erik; Meurice, Y.; Unmuth-Yockey, Judah Physical Review D, Vol. 99, Issue 9 https://doi.org/10.1103/physrevd.99.094503	journal	May 2019
σ Models on Quantum Computers Alexandru, Andrei; Bedaque, Paulo F.; Lamm, Henry Physical Review Letters, Vol. 123, Issue 9 https://doi.org/10.1103/physrevlett.123.090501	journal	August 2019
Simulations of Subatomic Many-Body Physics on a Quantum Frequency Processor Lu, Hsuan-Hao; Klco, Natalie; Lukens, Joseph M. arXiv https://doi.org/10.48550/arxiv.1810.03959	text	January 2018
Quantum simulation of scattering in the quantum Ising model Gustafson, Erik; Meurice, Yannick; Unmuth-Yockey, Judah arXiv https://doi.org/10.48550/arxiv.1901.05944	text	January 2019
Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution Motta, Mario; Sun, Chong; Tan, Adrian Teck Keng arXiv https://doi.org/10.48550/arxiv.1901.07653	text	January 2019
General Methods for Digital Quantum Simulation of Gauge Theories Lamm, Henry; Lawrence, Scott; Yamauchi, Yukari arXiv https://doi.org/10.48550/arxiv.1903.08807	text	January 2019
Gluon Field Digitization for Quantum Computers Alexandru, Andrei; Bedaque, Paulo F.; Harmalkar, Siddhartha arXiv https://doi.org/10.48550/arxiv.1906.11213	text	January 2019
Quantum computers as universal quantum simulators: state-of-art and perspectives Tacchino, Francesco; Chiesa, Alessandro; Carretta, Stefano arXiv https://doi.org/10.48550/arxiv.1907.03505	text	January 2019

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GENERAL PHYSICS
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Title: Simulation of Nonequilibrium Dynamics on a Quantum Computer

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References (19)

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