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:
-
- Tennessee Technological Univ., Cookeville, TN (United States). Dept. of Physics
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computational Sciences and Engineering Division
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- 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
- 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}
}
Web of Science
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