Encoding of linear kinetic plasma problems in quantum circuits via data compression
Journal Article
·
· Journal of Plasma Physics
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
We propose an algorithm for encoding linear kinetic plasma problems in quantum circuits. The focus is on modelling electrostatic linear waves in a one-dimensional Maxwellian electron plasma. The waves are described by the linearized Vlasov–Ampère system with a spatially localized external current that drives plasma oscillations. This system is formulated as a boundary-value problem and cast in the form of a linear vector equation Aψ = b to be solved by using the quantum signal processing algorithm. The latter requires encoding of matrix A in a quantum circuit as a sub-block of a unitary matrix. We propose how to encode A in a circuit in a compressed form and discuss how the resulting circuit scales with the problem size and the desired precision.
- Research Organization:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
- Sponsoring Organization:
- USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- Grant/Contract Number:
- AC02-09CH11466; AC52-07NA27344
- OSTI ID:
- 2448307
- Alternate ID(s):
- OSTI ID: 2453957
- Report Number(s):
- LLNL--JRNL-861817
- Journal Information:
- Journal of Plasma Physics, Journal Name: Journal of Plasma Physics Journal Issue: 4 Vol. 90; ISSN 0022-3778
- Publisher:
- Cambridge University PressCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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