Quantum Algorithm for High Energy Physics Simulations
Top Cited Papers
Open Access
- 10 February 2021
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 126 (6), 062001
- https://doi.org/10.1103/physrevlett.126.062001
Abstract
Simulating quantum field theories is a flagship application of quantum computing. However, calculating experimentally relevant high energy scattering amplitudes entirely on a quantum computer is prohibitively difficult. It is well known that such high energy scattering processes can be factored into pieces that can be computed using well established perturbative techniques, and pieces which currently have to be simulated using classical Markov chain algorithms. These classical Markov chain simulation approaches work well to capture many of the salient features, but cannot capture all quantum effects. To exploit quantum resources in the most efficient way, we introduce a new paradigm for quantum algorithms in field theories. This approach uses quantum computers only for those parts of the problem which are not computable using existing techniques. In particular, we develop a polynomial time quantum final state shower that accurately models the effects of intermediate spin states similar to those present in high energy electroweak showers with a global evolution variable. The algorithm is explicitly demonstrated for a simplified quantum field theory on a quantum computer.Keywords
Funding Information
- U.S. Department of Energy (DE-AC02-05CH11231, DE-AC05-00OR22725)
- Quantum Information Science Enabled Discovery (KA2401032)
This publication has 34 references indexed in Scilit:
- Review of Particle PhysicsPhysical Review D, 2018
- Quantum Computing in the NISQ era and beyondQuantum, 2018
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computerNature, 2016
- Quantum simulation of quantum field theory using continuous variablesPhysical Review A, 2015
- Quantum simulationReviews of Modern Physics, 2014
- Quantum Algorithms for Quantum Field TheoriesScience, 2012
- Hard scattering factorization from effective field theoryPhysical Review D, 2002
- Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum ComputerSIAM Journal on Computing, 1997
- The Theorems of Perturbative QCDAnnual Review of Nuclear and Particle Science, 1987
- Simulating physics with computersInternational Journal of Theoretical Physics, 1982