Quantum boundary-value algorithms for linear dissipative waves in dielectric media and kinetic plasmas

POSTER

Abstract

Quantum Singular Value Transformation (QSVT) is a state-of-the-art quantum algorithm for solving linear equations, particularly those that involve non-Hermitian matrices. For high-dimensional problems, this algorithm can provide polynomial speedup with respect to the best-known conjugate-gradient-based classical methods. We discuss applications of the QSVT to solving boundary-value problems for stationary waves in inhomogeneous dielectric media and also kinetic electrostatic waves excited by a monochromatic source in inhomogeneous one-dimensional plasma.

*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, "Simulation of Linear Non-Hermitian Boundary-Value Problems with Quantum Singular-Value Transformation", Phys. Rev. Appl. 19, 054012 (2023).

Presenters

  • Ivan Novikau

    • Lawrence Livermore National Laboratory

Authors

  • Ivan Novikau

    • Lawrence Livermore National Laboratory

  • Ilya Y Dodin

    • Princeton Plasma Physics Laboratory

  • Edward A Startsev

    • Princeton Plasma Physics Laboratory
    • PPPL