Journal
PHYSICAL REVIEW A
Volume 99, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.99.032306
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Funding
- U.S. Department of Energy
- DOE ASCR, FWP [ERKJ332]
- U.S. Office of Naval Research [N00014-15-1-2646]
- U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research program office
- U.S. Department of Energy [DE-AC0500OR22725]
- Department of Energy
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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. We also discuss the prospects of scaling the algorithm to full simulation of interacting QFTs on future hardware.
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