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Quantum Computation of Scattering in Scalar Quantum Field Theories

Jordan, Stephen P. and Lee, Keith S. M. and Preskill, John (2014) Quantum Computation of Scattering in Scalar Quantum Field Theories. Quantum Information and Computation, 14 (11-12). pp. 1014-1080. ISSN 1533-7146.

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Quantum field theory provides the framework for the most fundamental physical theories to be confirmed experimentally, and has enabled predictions of unprecedented precision. However, calculations of physical observables often require great computational complexity and can generally be performed only when the interaction strength is weak. A full understanding of the foundations and rich consequences of quantum field theory remains an outstanding challenge. We develop a quantum algorithm to compute relativistic scattering amplitudes in massive phi-fourth theory in spacetime of four and fewer dimensions. The algorithm runs in a time that is polynomial in the number of particles, their energy, and the desired precision, and applies at both weak and strong coupling. Thus, it offers exponential speedup over existing classical methods at high precision or strong coupling.

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Additional Information:© 2014 Rinton Press. Received November 30, 2012; Revised January 17, 2014. We thank Alexey Gorshkov for helpful discussions. This work was supported by NSF grant PHY-0803371, DOE grant DE-FG03-92-ER40701, and NSA/ARO grant W911NF-09-1-0442. Much of this work was done while S.J. was at the Institute for Quantum Information (IQI), Caltech, supported by the Sherman Fairchild Foundation. K.L. was supported in part by NSF grant PHY-0854782. He is grateful for the hospitality of the IQI, Caltech, during parts of this work.
Group:IQIM, Institute for Quantum Information and Matter, Caltech Theory
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
NSA/ARO W911NF-09-1-0442
Sherman Fairchild FoundationUNSPECIFIED
Subject Keywords:quantum algorithm, simulation, quantum field theory
Record Number:CaltechAUTHORS:20120712-151413773
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32398
Deposited By: Tony Diaz
Deposited On:19 Jul 2012 22:34
Last Modified:18 Sep 2014 22:18

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