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Proceedings Paper

Quantum lattice gas algorithmic representation of gauge field theory
Author(s): Jeffrey Yepez
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Paper Abstract

Presented is a quantum lattice gas algorithm to efficiently model a system of Dirac particles interacting through an intermediary gauge field. The algorithm uses a fixed qubit array to represent both the spacetime and the particles contained in the spacetime. Despite being a lattice based algorithm, Lorentz invariance is preserved down to the grid scale, with the continuum Dirac Hamiltonian generating the local unitary evolution even at that scale: there is nonlinear scaling between the smallest observable time and that time measured in the quantum field theory limit, a kind of time dilation effect that emerges on small scales but has no effect on large scales. The quantum lattice gas algorithm correctly accounts for the anticommutative braiding of indistinguishable fermions|it does not suffer the Fermi-sign problem. It provides a highly convergent numerical simulation for strongly-correlated fermions equal to a covariant path integral, presented here for the case when a Dirac particle's Compton wavelength is large compared to the grid scale of the qubit array.

Paper Details

Date Published: 24 October 2016
PDF: 22 pages
Proc. SPIE 9996, Quantum Information Science and Technology II, 99960N (24 October 2016); doi: 10.1117/12.2246702
Show Author Affiliations
Jeffrey Yepez, Univ. of Hawai'i at Manoa (United States)

Published in SPIE Proceedings Vol. 9996:
Quantum Information Science and Technology II
Mark T. Gruneisen; Miloslav Dusek; John G. Rarity, Editor(s)

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