Quantum lattice gas model of Fermi systems with relativistic energy relations
Abstract
Presented are several example quantum computing representations of quantum systems with a relativistic energy relation. Basic unitary representations of free Dirac particles and BCS superconductivity are given. Then, these are combined into a novel unitary representation of a Fermi condensate superfluid. The modeling approach employs an operator splitting method that is an analytically closed-form product decomposition of the unitary evolution operator, applied in the high-energy limit. This allows the relativistic wave equations to be cast as unitary finite-difference equations. The split evolution operators (comprising separate kinetic and interaction energy evolution terms) serve as quantum lattice gas models useful for efficient quantum simulation.
Keywords
Cite
@article{arxiv.1307.3593,
title = {Quantum lattice gas model of Fermi systems with relativistic energy relations},
author = {Jeffrey Yepez},
journal= {arXiv preprint arXiv:1307.3593},
year = {2013}
}