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Title: Scalar quantum field theories as a benchmark for near-term quantum computers

Abstract

Quantum field theory (QFT) simulations are a potentially important application for noisy intermediate scale quantum (NISQ) computers. The ability of a quantum computer to emulate a QFT therefore constitutes a natural application-centric benchmark. Foundational quantum algorithms to simulate QFT processes rely on fault-tolerant computational resources, but to be useful on NISQ machines, error-resilient algorithms are required. Here we outline and implement a hybrid algorithm to calculate the lowest energy levels of the paradigmatic 1+1–dimensional $$\phi$$4 interacting scalar QFT. We calculate energy splittings and compare results with experimental values obtained on currently available quantum hardware. We show that the accuracy of mass-renormalization calculations represents a useful metric with which near-term hardware may be benchmarked. Finally, we also discuss the prospects of scaling the algorithm to full simulation of interacting QFTs on future hardware.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [2]; ORCiD logo [4];  [5]
  1. Tennessee Technological Univ., Cookeville, TN (United States). Dept. of Physics
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computational Sciences and Engineering Division
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  4. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computational Sciences and Engineering Division; Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy
  5. Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
US Department of the Navy, Office of Naval Research (ONR); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1559709
Alternate Identifier(s):
OSTI ID: 1546166
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 99; Journal Issue: 3; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Yeter Aydeniz, Kubra, Dumitrescu, Eugene F., Mccaskey, Alex, Bennink, Ryan S., Pooser, Raphael C., and Siopsis, George. Scalar quantum field theories as a benchmark for near-term quantum computers. United States: N. p., 2019. Web. doi:10.1103/PhysRevA.99.032306.
Yeter Aydeniz, Kubra, Dumitrescu, Eugene F., Mccaskey, Alex, Bennink, Ryan S., Pooser, Raphael C., & Siopsis, George. Scalar quantum field theories as a benchmark for near-term quantum computers. United States. https://doi.org/10.1103/PhysRevA.99.032306
Yeter Aydeniz, Kubra, Dumitrescu, Eugene F., Mccaskey, Alex, Bennink, Ryan S., Pooser, Raphael C., and Siopsis, George. Mon . "Scalar quantum field theories as a benchmark for near-term quantum computers". United States. https://doi.org/10.1103/PhysRevA.99.032306. https://www.osti.gov/servlets/purl/1559709.
@article{osti_1559709,
title = {Scalar quantum field theories as a benchmark for near-term quantum computers},
author = {Yeter Aydeniz, Kubra and Dumitrescu, Eugene F. and Mccaskey, Alex and Bennink, Ryan S. and Pooser, Raphael C. and Siopsis, George},
abstractNote = {Quantum field theory (QFT) simulations are a potentially important application for noisy intermediate scale quantum (NISQ) computers. The ability of a quantum computer to emulate a QFT therefore constitutes a natural application-centric benchmark. Foundational quantum algorithms to simulate QFT processes rely on fault-tolerant computational resources, but to be useful on NISQ machines, error-resilient algorithms are required. Here we outline and implement a hybrid algorithm to calculate the lowest energy levels of the paradigmatic 1+1–dimensional $\phi$4 interacting scalar QFT. We calculate energy splittings and compare results with experimental values obtained on currently available quantum hardware. We show that the accuracy of mass-renormalization calculations represents a useful metric with which near-term hardware may be benchmarked. Finally, we also discuss the prospects of scaling the algorithm to full simulation of interacting QFTs on future hardware.},
doi = {10.1103/PhysRevA.99.032306},
journal = {Physical Review A},
number = 3,
volume = 99,
place = {United States},
year = {Mon Mar 04 00:00:00 EST 2019},
month = {Mon Mar 04 00:00:00 EST 2019}
}

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Cited by: 48 works
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Works referencing / citing this record:

Review on novel methods for lattice gauge theories
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General Methods for Digital Quantum Simulation of Gauge Theories
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Gluon Field Digitization for Quantum Computers
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