Bulletin of the American Physical Society
64th Annual Meeting of the APS Division of Plasma Physics
Volume 67, Number 15
Monday–Friday, October 17–21, 2022; Spokane, Washington
Session CO07: Fundamental Plasmas: Analytical and Computational Techniques
2:00 PM–4:48 PM,
Monday, October 17, 2022
Room: 401 ABC
Chair: Paulo Alves, UCLA
Abstract: CO07.00001 : Simulating conservative and dissipative waves using quantum signal processing algorithms*
2:00 PM–2:12 PM
Presenter:
Ivan Novikau
(Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543, USA)
Authors:
Ivan Novikau
(Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543, USA)
Ilya Y Dodin
(Princeton Plasma Physics Laboratory)
Edward A Startsev
(Princeton Plasma Physics Laboratory)
We use the QSP to model the time evolution of cold radio-frequency waves in an inhomogeneous one-dimensional plasma. The considered system, where the wave energy is conserved, is described by a Hermitian Hamiltonian. The results from the emulation of the corresponding quantum circuit demonstrate a good agreement with classical simulations.
However, any process that breaks the energy conservation such as dissipation or outgoing boundary conditions turns the system into a non-Hermitian one. Such systems are more challenging to compute by quantum algorithms. We show how to encode a non-Hermitian stationary wave problem into a quantum circuit and model it by the QSVT algorithm. The potential speedup and the drawbacks of the quantum methods are discussed as well.
*This work was supported by the U.S. DOE through Contract No. DE-AC02-09CH11466.The work was substantially performed using the Princeton Research Computing resources at Princeton University.
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