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arXiv · 2211.16661

Some Comments on Unitary Qubit Lattice Algorithms for Classical Problems

Paul Anderson·Lillian Finegold-Sachs·George Vahala·Linda Vahala·Abhay K. Ram·Min Soe·Efstratios Koukoutsis·Kyriakos Hizandis
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Abstract

$\bf{Abstract}$: 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. 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.

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Paul Anderson, Lillian Finegold-Sachs, George Vahala, Linda Vahala, Abhay K. Ram, Min Soe, Efstratios Koukoutsis, Kyriakos Hizandis. 2022-11-30. Some Comments on Unitary Qubit Lattice Algorithms for Classical Problems. https://doi.org/10.1080/10420150.2023.2186871

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