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Title: Quantum-classical computation of Schwinger model dynamics using quantum computers

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.

Authors:
 [1];  [2];  [2];  [2];  [2];  [3];  [4];  [2];  [1]
  1. Univ. of Washington, Seattle, WA (United States)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  3. Univ. of the Basque Country, Bilbao (Spain)
  4. Univ. of the Basque Country, Bilbao (Spain); Basque Foundation for Science, Bilbao (Spain)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1476420
Alternate Identifier(s):
OSTI ID: 1474766
Grant/Contract Number:  
AC05-00OR22725; FG02-00ER41132; DEAC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 98; Journal Issue: 3; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Klco, N., Dumitrescu, E. F., McCaskey, A. J., Morris, T. D., Pooser, R. C., Sanz, M., Solano, E., McCaskey, A. J., and Savage, M. J. Quantum-classical computation of Schwinger model dynamics using quantum computers. United States: N. p., 2018. Web. doi:10.1103/PhysRevA.98.032331.
Klco, N., Dumitrescu, E. F., McCaskey, A. J., Morris, T. D., Pooser, R. C., Sanz, M., Solano, E., McCaskey, A. J., & Savage, M. J. Quantum-classical computation of Schwinger model dynamics using quantum computers. United States. doi:10.1103/PhysRevA.98.032331.
Klco, N., Dumitrescu, E. F., McCaskey, A. J., Morris, T. D., Pooser, R. C., Sanz, M., Solano, E., McCaskey, A. J., and Savage, M. J. Fri . "Quantum-classical computation of Schwinger model dynamics using quantum computers". United States. doi:10.1103/PhysRevA.98.032331. https://www.osti.gov/servlets/purl/1476420.
@article{osti_1476420,
title = {Quantum-classical computation of Schwinger model dynamics using quantum computers},
author = {Klco, N. and Dumitrescu, E. F. and McCaskey, A. J. and Morris, T. D. and Pooser, R. C. and Sanz, M. and Solano, E. and McCaskey, A. J. and Savage, M. J.},
abstractNote = {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.},
doi = {10.1103/PhysRevA.98.032331},
journal = {Physical Review A},
number = 3,
volume = 98,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 17 works
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Figures / Tables:

FIG. 1 FIG. 1: Schematic of the qubit and electric flux link structure of the two-spatial-site lattice Schwinger model. Even sites (marked 0 and 2) represent the electron content with spin up denoting the presence of an electron. Odd sites (marked 1 and 3) represent the positron content with spin down denotingmore » the presence of a positron. The strong-coupling vacuum (unoccupied) state is antiferromagnetic.« less

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