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Title: Simulation of Linear Non-Hermitian Boundary-Value Problems with Quantum Singular-Value Transformation

Journal Article · · Physical Review Applied
ORCiD logo [1]; ORCiD logo [2];  [1]
  1. Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
  2. Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States); Princeton Univ., NJ (United States)

Herein we propose a quantum algorithm for simulating dissipative waves in inhomogeneous linear media as a boundary-value problem. Using the so-called quantum singular value transformation (QSVT), we construct a quantum circuit that models the propagation of electromagnetic waves in a one-dimensional system with outgoing boundary conditions. The corresponding measurement procedure is also discussed. Limitations of the QSVT algorithm are identified in connection with the large condition numbers that the dispersion matrices exhibit at weak dissipation.

Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
AC02-09CH11466
OSTI ID:
1974419
Journal Information:
Physical Review Applied, Vol. 19, Issue 5; ISSN 2331-7019
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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