Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published September 2014 | Submitted
Journal Article Open

Quantum Computation of Scattering in Scalar Quantum Field Theories

Abstract

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.

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.

Attached Files

Submitted - 1112.4833v1.pdf

Files

1112.4833v1.pdf
Files (612.1 kB)
Name Size Download all
md5:57cef72c66521f674ba0123efca6cdcf
612.1 kB Preview Download

Additional details

Created:
August 23, 2023
Modified:
March 5, 2024