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

Yeter Aydeniz, Kubra; Dumitrescu, Eugene F.; Mccaskey, Alex; Bennink, Ryan S.; Pooser, Raphael C.; Siopsis, George

doi:10.1103/PhysRevA.99.032306

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

Journal Article · Mon Mar 04 00:00:00 EST 2019 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.99.032306· OSTI ID:1559709

Yeter Aydeniz, Kubra ^[1];

^[2];

^[3];

^[2];

^[4]; Siopsis, George ^[5]

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

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.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: US Department of the Navy, Office of Naval Research (ONR); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1559709

Alternate ID(s):: OSTI ID: 1546166

Journal Information:: Physical Review A, Vol. 99, Issue 3; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 48 works

Citation information provided by
Web of Science

References (24)

Quantum-classical computation of Schwinger model dynamics using quantum computers Klco, N.; Dumitrescu, E. F.; McCaskey, A. J. Physical Review A, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevA.98.032331	journal	September 2018
Mitigating algorithmic errors in a Hamiltonian simulation Endo, Suguru; Zhao, Qi; Li, Ying Physical Review A, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevA.99.012334	journal	January 2019
Universal Quantum Simulators Lloyd, S. Science, Vol. 273, Issue 5278 https://doi.org/10.1126/science.273.5278.1073	journal	August 1996
Quantum Computing in the NISQ era and beyond Preskill, John Quantum, Vol. 2 https://doi.org/10.22331/q-2018-08-06-79	journal	August 2018
Quantum Computation over Continuous Variables Lloyd, Seth; Braunstein, Samuel L. Physical Review Letters, Vol. 82, Issue 8 https://doi.org/10.1103/PhysRevLett.82.1784	journal	February 1999
Approximating vibronic spectroscopy with imperfect quantum optics Clements, William R.; Renema, Jelmer J.; Eckstein, Andreas Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 51, Issue 24 https://doi.org/10.1088/1361-6455/aaf031	journal	November 2018
Charge-insensitive qubit design derived from the Cooper pair box Koch, Jens; Yu, Terri M.; Gambetta, Jay Physical Review A, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevA.76.042319	journal	October 2007
Cloud Quantum Computing of an Atomic Nucleus Dumitrescu, E. F.; McCaskey, A. J.; Hagen, G. Physical Review Letters, Vol. 120, Issue 21 https://doi.org/10.1103/PhysRevLett.120.210501	journal	May 2018
Quantum Algorithms for Quantum Field Theories Jordan, S. P.; Lee, K. S. M.; Preskill, J. Science, Vol. 336, Issue 6085 https://doi.org/10.1126/science.1217069	journal	May 2012
Quantum simulation of quantum field theory using continuous variables Marshall, Kevin; Pooser, Raphael; Siopsis, George Physical Review A, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevA.92.063825	journal	December 2015
Real-time dynamics of lattice gauge theories with a few-qubit quantum computer Martinez, Esteban A.; Muschik, Christine A.; Schindler, Philipp Nature, Vol. 534, Issue 7608 https://doi.org/10.1038/nature18318	journal	June 2016
Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets Kandala, Abhinav; Mezzacapo, Antonio; Temme, Kristan Nature, Vol. 549, Issue 7671 https://doi.org/10.1038/nature23879	journal	September 2017
Simulating physics with computers Feynman, Richard P. International Journal of Theoretical Physics, Vol. 21, Issue 6-7 https://doi.org/10.1007/BF02650179	journal	June 1982
Digital-Analog Quantum Simulation of Spin Models in Trapped Ions Arrazola, Iñigo; Pedernales, Julen S.; Lamata, Lucas Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep30534	journal	July 2016
A variational eigenvalue solver on a photonic quantum processor Peruzzo, Alberto; McClean, Jarrod; Shadbolt, Peter Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5213	journal	July 2014
Communication: Generalized canonical purification for density matrix minimization Truflandier, Lionel A.; Dianzinga, Rivo M.; Bowler, David R. The Journal of Chemical Physics, Vol. 144, Issue 9 https://doi.org/10.1063/1.4943213	journal	March 2016
Resolving the positions of defects in superconducting quantum bits Bilmes, Alexander; Megrant, Anthony; Klimov, Paul Scientific Reports, Vol. 10, Issue 1 https://doi.org/10.1038/s41598-020-59749-y	journal	February 2020
Quantum simulation of quantum field theory using continuous variables Marshall, Kevin; Pooser, Raphael; Siopsis, George arXiv https://doi.org/10.48550/arxiv.1503.08121	text	January 2015
Real-time dynamics of lattice gauge theories with a few-qubit quantum computer Martinez, E. A.; Muschik, C. A.; Schindler, P. arXiv https://doi.org/10.48550/arxiv.1605.04570	text	January 2016
Quantum Computing in the NISQ era and beyond Preskill, John arXiv https://doi.org/10.48550/arxiv.1801.00862	text	January 2018
Cloud Quantum Computing of an Atomic Nucleus Dumitrescu, E. F.; McCaskey, A. J.; Hagen, G. arXiv https://doi.org/10.48550/arxiv.1801.03897	text	January 2018
Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers Klco, N.; Dumitrescu, E. F.; McCaskey, A. J. arXiv https://doi.org/10.48550/arxiv.1803.03326	text	January 2018
Charge insensitive qubit design derived from the Cooper pair box Koch, Jens; Yu, Terri M.; Gambetta, Jay arXiv https://doi.org/10.48550/arxiv.cond-mat/0703002	text	January 2007
Quantum computation over continuous variables Lloyd, Seth; Braunstein, Samuel L. arXiv https://doi.org/10.48550/arxiv.quant-ph/9810082	text	January 1998

Cited By (8)

Review on novel methods for lattice gauge theories Carmen Bañuls, Mari; Cichy, Krzysztof Reports on Progress in Physics, Vol. 83, Issue 2 https://doi.org/10.1088/1361-6633/ab6311	journal	January 2020
Methods for classically simulating noisy networked quantum architectures Vankov, Iskren; Mills, Daniel; Wallden, Petros Quantum Science and Technology, Vol. 5, Issue 1 https://doi.org/10.1088/2058-9565/ab54a4	journal	November 2019
XACC: a system-level software infrastructure for heterogeneous quantum–classical computing McCaskey, Alexander J.; Lyakh, Dmitry I.; Dumitrescu, Eugene F. Quantum Science and Technology, Vol. 5, Issue 2 https://doi.org/10.1088/2058-9565/ab6bf6	journal	February 2020
Methods for Classically Simulating Noisy Networked Quantum Architectures Vankov, Iskren; Mills, Daniel; Wallden, Petros arXiv https://doi.org/10.48550/arxiv.1803.04167	text	January 2018
Quantum simulation of scattering in the quantum Ising model Gustafson, Erik; Meurice, Yannick; Unmuth-Yockey, Judah arXiv https://doi.org/10.48550/arxiv.1901.05944	text	January 2019
General Methods for Digital Quantum Simulation of Gauge Theories Lamm, Henry; Lawrence, Scott; Yamauchi, Yukari arXiv https://doi.org/10.48550/arxiv.1903.08807	text	January 2019
Gluon Field Digitization for Quantum Computers Alexandru, Andrei; Bedaque, Paulo F.; Harmalkar, Siddhartha arXiv https://doi.org/10.48550/arxiv.1906.11213	text	January 2019
Review on novel methods for lattice gauge theories Bañuls, Mari Carmen; Cichy, Krzysztof arXiv https://doi.org/10.48550/arxiv.1910.00257	text	January 2019

Similar Records

Benchmarking near-term quantum devices with the variational quantum eigensolver and the Lipkin-Meshkov-Glick model

Journal Article · Mon Aug 16 00:00:00 EDT 2021 · Physical Review A · OSTI ID:1559709

Robbins, Kenneth; Love, Peter J.

Gutzwiller hybrid quantum-classical computing approach for correlated materials

Journal Article · Thu Feb 25 00:00:00 EST 2021 · Physical Review Research · OSTI ID:1559709

Yao, Yongxin; Zhang, Feng; Wang, Cai-Zhuang; +2 more

Benchmarking Quantum Chemistry Computations with Variational, Imaginary Time Evolution, and Krylov Space Solver Algorithms

Journal Article · Fri May 07 00:00:00 EDT 2021 · Advanced Quantum Technologies · OSTI ID:1559709

Yeter‐Aydeniz, Kübra; Gard, Bryan T.; Jakowski, Jacek; +5 more

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS

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

Citation Formats

References (24)

Cited By (8)

Similar Records

Related Subjects