Some comments on unitary qubit lattice algorithms for classical problems
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Author(s)
Anderson, Paul
Finegold-Sachs, Lillian
Vahala, George
Vahala, Linda
Ram, Abhay K.
Soe, Min
Koukoutsis, Efstratios
Hizandis, Kyriakos
Date Issued
November 2022
Journal
Radiation Effects and Defects in Solids
Publisher
Taylor & Francis
Abstract
A qubit lattice algorithm (QLA), which consists of a set of interleaved unitary collision-streaming operators, is developed for electromagnetic wave propagation in tensor dielectric media. External potential operators are required to handle gradients in the refractive indices, and these operators are typically non-unitary but sparse. A similar problem arises in the QLA for the Korteweg-de Vries equation, as the potential operator that models the KdV nonlinear term is also non-unitary. Several QLAs are presented here that avoid the need of this non-unitary potential operator by perturbing the collision operator. These QLAs are fully unitary.
Description
Submitted for publication in Radiation Effects and Defects in Solids
MIT Department
Massachusetts Institute of Technology. Plasma Science and Fusion Center
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1080/10420150.2023.2186871
