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

Kübra Yeter-Aydeniz, Eugene F. Dumitrescu, Alex J. McCaskey, Ryan S. Bennink, Raphael C. Pooser, and George Siopsis
Phys. Rev. A 99, 032306 – Published 4 March 2019

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 ϕ4 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. We also discuss the prospects of scaling the algorithm to full simulation of interacting QFTs on future hardware.

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  • Received 12 December 2018

DOI:https://doi.org/10.1103/PhysRevA.99.032306

©2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Kübra Yeter-Aydeniz1, Eugene F. Dumitrescu2, Alex J. McCaskey3, Ryan S. Bennink2, Raphael C. Pooser2,4,*, and George Siopsis4,†

  • 1Department of Physics, Tennessee Technological University, Cookeville, Tennessee 38505, 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
  • 4Department of Physics and Astronomy, The University of Tennessee, Knoxville, Tennessee 37996-1200, USA

  • *pooserrc@ornl.gov
  • siopsis@tennessee.edu

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Issue

Vol. 99, Iss. 3 — March 2019

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