Simulation of Linear Non-Hermitian Boundary-Value Problems with Quantum Singular-Value Transformation

I. Novikau, I.Y. Dodin, and E.A. Startsev

Phys. Rev. Applied 19, 054012 – Published 3 May 2023

Abstract

We propose a quantum algorithm for simulating dissipative waves in inhomogeneous linear media as a boundary-value problem. Using the so-called quantum singular value transformation (QSVT), we construct a quantum circuit that models the propagation of electromagnetic waves in a one-dimensional system with outgoing boundary conditions. The corresponding measurement procedure is also discussed. Limitations of the QSVT algorithm are identified in connection with the large condition numbers that the dispersion matrices exhibit at weak dissipation.

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Received 18 December 2022
Revised 12 March 2023
Accepted 29 March 2023

DOI:https://doi.org/10.1103/PhysRevApplied.19.054012

Physics Subject Headings (PhySH)

Electromagnetic waves & oscillations Plasma oscillations Quantum algorithms Quantum circuits Quantum simulation

Dielectrics Non-Hermitian systems

Quantum Information, Science & TechnologyPlasma PhysicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

I. Novikau ^1,*, I.Y. Dodin ^1,2, and E.A. Startsev¹

¹Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543, USA
²Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544, USA

^*inovikau@pppl.gov

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Vol. 19, Iss. 5 — May 2023

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