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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 Univ., 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. https://doi.org/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 = {2020},
month = {1}
}

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