Simulations of dissipative electromagnetic waves using quantum singular value transformation

POSTER

Abstract

Quantum Singular Value Transformation (QSVT) is a state-of-the-art quantum algorithm for solving linear vector equations of the form Ax = b, including those with non-Hermitian matrices A. We report an application of the QSVT to the modeling of classical electromagnetic waves in a one-dimensional system with outgoing boundary conditions. We show how to encode the corresponding non-Hermitian boundary-value problem into a quantum circuit and also propose how to extract classical information from this circuit using quantum measurements. In particular, we show how the absorption power can be measured using an oracle emulating the electric conductivity. The potential speedup and the drawbacks of QSVT applications to classical waves are also discussed.

*The research was conducted under the Laboratory Directed Research and Development (LDRD) Program at Princeton Plasma Physics Laboratory, a national laboratory operated by Princeton University for the U.S. Department of Energy under Prime Contract No. DE-AC02-09CH11466.The work was substantially performed using the Princeton Research Computing resources at Princeton University which is consortium of groups led by the Princeton Institute for Computational Science and Engineering (PICSciE) and Office of Information Technology’s Research Computing.

Publication: 1. I. Novikau, I. Y. Dodin, and E. A. Startsev, "Quantum Signal Processing for simulating cold plasma waves", Phys. Rev. A 105, 062444 (2022).
2. I. Novikau, https://github.com/ivanNovikau/QSVT_framework

Presenters

  • Ivan Novikau

    • Princeton Plasma Physics Laboratory

Authors

  • Ivan Novikau

    • Princeton Plasma Physics Laboratory

  • Ilya Y Dodin

    • Princeton Plasma Physics Laboratory

  • Edward A Startsev

    • PPPL