Quantum Signal Processing for simulating cold plasma waves
- URL: http://arxiv.org/abs/2112.06086v3
- Date: Fri, 24 Jun 2022 15:02:36 GMT
- Title: Quantum Signal Processing for simulating cold plasma waves
- Authors: I. Novikau, E. A. Startsev, I. Y. Dodin
- Abstract summary: Numerical modeling of radio-frequency waves in plasma with sufficiently high spatial and temporal resolution remains challenging.
We propose how to do such modeling for cold plasma waves, in particular, for an X wave propagating in an inhomogeneous one-dimensional plasma.
We apply the so-called Quantum Signal Processing algorithm and construct the corresponding circuit.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Numerical modeling of radio-frequency waves in plasma with sufficiently high
spatial and temporal resolution remains challenging even with modern computers.
However, such simulations can be sped up using quantum computers in the future.
Here, we propose how to do such modeling for cold plasma waves, in particular,
for an X wave propagating in an inhomogeneous one-dimensional plasma. The wave
system is represented in the form of a vector Schr\"odinger equation with a
Hermitian Hamiltonian. Block-encoding is used to represent the Hamiltonian
through unitary operations that can be implemented on a quantum computer. To
perform the modeling, we apply the so-called Quantum Signal Processing
algorithm and construct the corresponding circuit. Quantum simulations with
this circuit are emulated on a classical computer, and the results show
agreement with traditional classical calculations. We also discuss how our
quantum circuit scales with the resolution.
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