Quantum-classical computation of Schwinger model dynamics using quantum computers

N. Klco; E. F. Dumitrescu; A. J. McCaskey; T. D. Morris; R. C. Pooser; M. Sanz; E. Solano; P. Lougovski; M. J. Savage

doi:10.1103/PhysRevA.98.032331

Quantum-classical computation of Schwinger model dynamics using quantum computers

N. Klco, E. F. Dumitrescu, A. J. McCaskey, T. D. Morris, R. C. Pooser, M. Sanz, E. Solano, P. Lougovski, M. J. Savage

Quantum Computational Science

Research output: Contribution to journal › Article › peer-review

302 Scopus citations

Abstract

We present a quantum-classical algorithm to study the dynamics of the two-spatial-site Schwinger model on IBM's quantum computers. Using rotational symmetries, total charge, and parity, the number of qubits needed to perform computation is reduced by a factor of ∼5, removing exponentially large unphysical sectors from the Hilbert space. Our work opens an avenue for exploration of other lattice quantum field theories, such as quantum chromodynamics, where classical computation is used to find symmetry sectors in which the quantum computer evaluates the dynamics of quantum fluctuations.

Original language	English
Article number	032331
Journal	Physical Review A
Volume	98
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.98.032331
State	Published - Sep 28 2018

Funding

We acknowledge use of the IBM Q experience for this work. We would like to thank Silas Beane, Aleksey Cherman, David Kaplan, John Preskill, Larry McLerran, Aidan Murran, Kenneth Roche, Alessandro Roggero, Jesse Stryker, Matthias Troyer, and Nathan Weibe for many important discussions and David Dean for helping to assemble the team. N.K. and M.J.S. would like to thank the Institute for Quantum Information and Matter and Oak Ridge National Laboratory for kind hospitality during this work. M.S. and E.S. are grateful for funding through the Spanish MINECO/FEDER Grant No. FIS2015-69983-P and Basque Government Grant No. IT986-16. M.J.S. and N.K. were supported by DOE Grants No. DE-FG02-00ER41132 and No. DEAC05-00OR22725. N.K. was supported in part by the Seattle Chapter of the Achievement Rewards for College Scientists (ARCS) Foundation. This work is supported by the U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research (ASCR) quantum algorithms and testbed programs, the associated Field Work Proposal numbers are ERKJ333 and ERKJ335. This work was performed in part at Oak Ridge National Laboratory.

Funders	Funder number
U.S. Department of Energy
Eusko Jaurlaritza	IT986-16
U.S. Department of Energy	DE-FG02-00ER41132, DEAC05-00OR22725
Office of Science
Advanced Scientific Computing Research
Advanced Scientific Computing Research	ERKJ335, ERKJ333
Ministerio de Economía y Competitividad
European Regional Development Fund	FIS2015-69983-P

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10.1103/PhysRevA.98.032331

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AU - Sanz, M.

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Quantum-classical computation of Schwinger model dynamics using quantum computers

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