Scalar Quantum Field Theories as a Benchmark for Near-Term Quantum Computers - INSPIRE

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Scalar Quantum Field Theories as a Benchmark for Near-Term Quantum Computers

Kubra Yeter-Aydeniz
(
- Tennessee Tech. U.
)
,
Eugene F. Dumitrescu
(
- ORNL, Oak Ridge (main)
)
,
Alex J. McCaskey
(
- ORNL, Oak Ridge (main)
)
,
Ryan S. Bennink
(
- ORNL, Oak Ridge (main)
)
,
Raphael C. Pooser
(
- ORNL, Oak Ridge (main) and
- Tennessee U.
)

Nov 29, 2018

8 pages

Published in:

Phys.Rev.A 99 (2019) 3, 032306

Published: Mar 4, 2019

e-Print:

1811.12332 [quant-ph]

DOI:

10.1103/PhysRevA.99.032306

View in:

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Abstract: (APS)

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.

Note:

8 pages, 7 figures

Quantum information
field theory: scalar
computer: quantum
interaction
noisy intermediate-scale quantum
benchmark
energy levels
hybrid
quantum algorithm
scaling

References(23)

Figures(13)

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