Quantum lattice gas model of Fermi systems with relativistic energy relations

TL;DR

This paper introduces quantum lattice gas models for relativistic Fermi systems, including Dirac particles and superconductivity, enabling efficient quantum simulation of these complex quantum phenomena.

Contribution

It presents a novel unitary representation of Fermi condensates using an operator splitting method for relativistic quantum systems.

Findings

Unitary models for Dirac particles and BCS superconductivity

A combined Fermi condensate superfluid model

Efficient quantum simulation framework for relativistic Fermi systems

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.