Quantum signal processing for simulating cold plasma waves

I. Novikau, E. A. Startsev, and I. Y. Dodin
Phys. Rev. A 105, 062444 – Published 24 June 2022

Abstract

Numerical modeling of radio-frequency waves in plasma with sufficiently high spatial and temporal resolution remains challenging even with modern computers. However, such simulations can be sped up using quantum computers in the future. Here, we propose how to do such modeling for cold plasma waves, in particular, for an X wave propagating in an inhomogeneous one-dimensional plasma. The wave system is represented in the form of a vector Schrödinger equation with a Hermitian Hamiltonian. Block encoding is used to represent the Hamiltonian through unitary operations that can be implemented on a quantum computer. To perform the modeling, we apply the so-called quantum signal processing algorithm and construct the corresponding circuit. Quantum simulations with this circuit are emulated on a classical computer, and the results show agreement with traditional classical calculations. We also discuss how our quantum circuit scales with the resolution.

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  • Received 11 December 2021
  • Revised 9 April 2022
  • Accepted 3 June 2022

DOI:https://doi.org/10.1103/PhysRevA.105.062444

©2022 American Physical Society

Physics Subject Headings (PhySH)

Plasma PhysicsQuantum Information, Science & Technology

Authors & Affiliations

I. Novikau1,*, E. A. Startsev1, and I. Y. Dodin1,2

  • 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. 105, Iss. 6 — June 2022

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