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Title: Quantum computation of magnon spectra

Abstract

We demonstrate quantum computation of two-point correlation functions for a Heisenberg spin chain. Using the IBM Q 20-qubit quantum machines, we find that, for two sites, the correlation functions produce the exact results reliably. For four sites, results from the IBM Q 20-qubit Tokyo quantum computer are noisy due to read out errors and decoherence. Nevertheless, the correlation functions retain the correct spectral information. Furthermore, this is illustrated in the frequency domain by accurately extracting the magnon energies from peaks in the spectral function.

Authors:
 [1];  [2]; ORCiD logo [1]
  1. North Carolina State Univ., Raleigh, NC (United States)
  2. Georgetown Univ., Washington, DC (United States)
Publication Date:
Research Org.:
North Carolina State University, Raleigh, NC (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1582306
Grant/Contract Number:  
SC0019469
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 101; Journal Issue: 1; Related Information: https://osf.io/9gx7u; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Quantum Computing

Citation Formats

Francis, Akhil, Freericks, J. K., and Kemper, A. F. Quantum computation of magnon spectra. United States: N. p., 2020. Web. doi:10.1103/PhysRevB.101.014411.
Francis, Akhil, Freericks, J. K., & Kemper, A. F. Quantum computation of magnon spectra. United States. https://doi.org/10.1103/PhysRevB.101.014411
Francis, Akhil, Freericks, J. K., and Kemper, A. F. Thu . "Quantum computation of magnon spectra". United States. https://doi.org/10.1103/PhysRevB.101.014411. https://www.osti.gov/servlets/purl/1582306.
@article{osti_1582306,
title = {Quantum computation of magnon spectra},
author = {Francis, Akhil and Freericks, J. K. and Kemper, A. F.},
abstractNote = {We demonstrate quantum computation of two-point correlation functions for a Heisenberg spin chain. Using the IBM Q 20-qubit quantum machines, we find that, for two sites, the correlation functions produce the exact results reliably. For four sites, results from the IBM Q 20-qubit Tokyo quantum computer are noisy due to read out errors and decoherence. Nevertheless, the correlation functions retain the correct spectral information. Furthermore, this is illustrated in the frequency domain by accurately extracting the magnon energies from peaks in the spectral function.},
doi = {10.1103/PhysRevB.101.014411},
journal = {Physical Review B},
number = 1,
volume = 101,
place = {United States},
year = {Thu Jan 09 00:00:00 EST 2020},
month = {Thu Jan 09 00:00:00 EST 2020}
}

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Works referenced in this record:

Frustrated spin order and stripe fluctuations in FeSe
journal, February 2019


Efficient Quantum Algorithm for Computing n -time Correlation Functions
journal, July 2014


Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
journal, December 1940


Simulating quantum many-body dynamics on a current digital quantum computer
journal, November 2019


Theory of Superconductivity
journal, December 1957


Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
journal, May 1983


Universal quantum circuit for two-qubit transformations with three controlled-NOT gates
journal, January 2004


Quantum hardware simulating four-dimensional inelastic neutron scattering
journal, March 2019


Quantum Computing in the NISQ era and beyond
journal, August 2018


Magnetic ground state of FeSe
journal, July 2016

  • Wang, Qisi; Shen, Yao; Pan, Bingying
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms12182

Theory of Superconductivity
journal, May 1965

  • Schrieffer, J. R.; Mansfield, John E.
  • Physics Today, Vol. 18, Issue 5
  • DOI: 10.1063/1.3047438

Frustrated spin order and stripe fluctuations in FeSe
text, January 2019


Magnetic ground state of FeSe
text, January 2015


Quantum Computing in the NISQ era and beyond
text, January 2018


Quantum hardware simulating four-dimensional inelastic neutron scattering
text, January 2018