Quantum-classical computation of Schwinger model dynamics using quantum computers

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

doi:10.1103/PhysRevA.98.032331

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

Journal Article · 28 September 2018 · Physical Review A

DOI: https://doi.org/10.1103/PhysRevA.98.032331 · OSTI ID:1476420

Klco, N. ^[1]; Dumitrescu, E. F. ^[2]; McCaskey, A. J. ^[2]; Morris, T. D. ^[2]; Pooser, R. C. ^[2]; Sanz, M. ^[3]; Solano, E. ^[4]; McCaskey, A. J. ^[2]; Savage, M. J. ^[1]

Univ. of Washington, Seattle, WA (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Univ. of the Basque Country, Bilbao (Spain)
Univ. of the Basque Country, Bilbao (Spain); Basque Foundation for Science, Bilbao (Spain)

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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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1476420

Journal Information:: Physical Review A, Journal Name: Physical Review A Journal Issue: 3 Vol. 98; ISSN PLRAAN; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Floquet approach to $\mathbb{Z}_{2}$ lattice gauge theories with ultracold atoms in optical lattices Schweizer, Christian; Grusdt, Fabian; Berngruber, Moritz arXiv https://doi.org/10.48550/arxiv.1901.07103	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
Quantum Chemistry as a Benchmark for Near-Term Quantum Computers McCaskey, Alexander J.; Parks, Zachary P.; Jakowski, Jacek arXiv https://doi.org/10.48550/arxiv.1905.01534	preprint	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
Variational spin-squeezing algorithms on programmable quantum sensors Kaubruegger, Raphael; Silvi, Pietro; Kokail, Christian arXiv https://doi.org/10.48550/arxiv.1908.08343	text	January 2019
Review on novel methods for lattice gauge theories Bañuls, Mari Carmen; Cichy, Krzysztof arXiv https://doi.org/10.48550/arxiv.1910.00257	text	January 2019

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