Quantum lattice gas algorithmic representation of gauge field theory

Jeffrey Yepez

doi:10.1117/12.2246702

24 October 2016 Quantum lattice gas algorithmic representation of gauge field theory

Jeffrey Yepez

Proceedings Volume 9996, Quantum Information Science and Technology II; 99960N (2016) https://doi.org/10.1117/12.2246702
Event: SPIE Security + Defence, 2016, Edinburgh, United Kingdom

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.

Citation Download Citation

Jeffrey Yepez "Quantum lattice gas algorithmic representation of gauge field theory", Proc. SPIE 9996, Quantum Information Science and Technology II, 99960N (24 October 2016); https://doi.org/10.1117/12.2246702

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