Quantum Calculation of Classical Kinetic Equations: A Novel Approach for
Numerical Analysis of 6D Boltzmann-Maxwell Equations in Collisionless Plasmas
Using Quantum Computing
- URL: http://arxiv.org/abs/2306.05967v1
- Date: Fri, 9 Jun 2023 15:33:35 GMT
- Title: Quantum Calculation of Classical Kinetic Equations: A Novel Approach for
Numerical Analysis of 6D Boltzmann-Maxwell Equations in Collisionless Plasmas
Using Quantum Computing
- Authors: Hayato Higuchi, Juan William Pedersen, Akimasa Yoshikawa
- Abstract summary: We have constructed a quantum algorithm for a future large-scale quantum computer to accelerate its costly interplay.
IBM Qiskit was used to implement all quantum circuits.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: A novel quantum algorithm for solving the Boltzmann-Maxwell equations of the
6D collisionless plasma is proposed. The equation describes the kinetic
behavior of plasma particles in electromagnetic fields and is known for the
classical first-principles equations in various domains, from space to
laboratory plasmas. We have constructed a quantum algorithm for a future
large-scale quantum computer to accelerate its costly computation. This
algorithm consists mainly of two routines: the Boltzmann solver and the Maxwell
solver. Quantum algorithms undertake these dual procedures, while classical
algorithms facilitate their interplay. Each solver has a similar structure
consisting of three steps: Encoding, Propagation, and Integration. We conducted
a preliminary implementation of the quantum algorithm and performed a parallel
validation against a comparable classical approach. IBM Qiskit was used to
implement all quantum circuits.
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