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, and M. J. Savage
Phys. Rev. A 98, 032331 – Published 28 September 2018
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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.

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  • Received 22 March 2018

DOI:https://doi.org/10.1103/PhysRevA.98.032331

©2018 American Physical Society

Physics Subject Headings (PhySH)

Nuclear PhysicsQuantum Information, Science & Technology

Authors & Affiliations

N. Klco1,*, E. F. Dumitrescu2, A. J. McCaskey3, T. D. Morris4, R. C. Pooser2, M. Sanz5, E. Solano5,6, P. Lougovski2,†, and M. J. Savage1,‡

  • 1Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195-1550, USA
  • 2Computational Sciences and Engineering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
  • 3Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
  • 4Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
  • 5Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, E-48080 Bilbao, Spain
  • 6IKERBASQUE, Basque Foundation for Science, Maria Diaz de Haro 3, E-48013 Bilbao, Spain

  • *klcon@uw.edu
  • lougovskip@ornl.gov
  • mjs5@uw.edu

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Issue

Vol. 98, Iss. 3 — September 2018

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