Abstract Details
Abstracts
Author: Ivan Novikau
Requested Type: Consider for Invited
Submitted: 2023-03-12 14:49:29
Co-authors: I.Y.Dodin, E.A.Startsev
Contact Info:
Princeton Plasma Physics Laboratory
100 Stellarator Rd
Princeton, NJ 08543
USA
Abstract Text:
We present the first quantum algorithms for full-wave modeling of linear radiofrequency (RF) wave propagation in inhomogeneous plasmas.
Our first algorithm [1] solves the initial-value problem for waves in one-dimensional cold magnetized plasma. In this case, the wave equations are conservative and can be represented as a (multidimensional) Schroedinger equation with a Hermitian Hamiltonian, so they can be modeled using quantum Hamiltonian simulations (QHS). We implement these simulations using so-called quantum signal processing (QSP) [2].
Our second algorithm [3] solves the boundary-value problem for stationary dissipative waves launched by an antenna, a problem that is more typical for RF simulations in fusion applications. Specifically, we assume a one-dimensional homogeneous medium with prescribed dielectric permittivity and outgoing boundary conditions. Such a system is more challenging to model by quantum algorithms, because the wave Hamiltonian is non-Hermitian in this case, so QHS are inapplicable. Instead, we formulate the problem as a system of linear equations and solve it by inverting the system matrix using the so-called quantum singular value transformation (QSVT) [4], which is an extension of the QSP for non-Hermitian matrices.
Both algorithms have been tested using a classical emulator of quantum circuits and demonstrated good agreement with conventional classical simulations. The potential speedup and limitations of our quantum algorithms for RF waves will also be discussed.
[1] I. Novikau, E. A. Startsev, and I. Y. Dodin, Phys. Rev. A 105, 062444 (2022).
[2] G. H. Low and I. L. Chuang, Quantum 3, 163 (2019).
[3] I. Novikau, I. Y. Dodin, E. A. Startsev, arXiv:2212.09113 (2023).
[4] A. Gilyen, Y. Su, G. H. Low, N. Wiebe, arXiv:1806.01838 (2018).
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