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A novel quantum algorithm for solving the Boltzmann-Maxwell equations of the6D collisionless plasma is proposed. The equation describes the kineticbehavior of plasma particles in electromagnetic fields and is known for theclassical first-principles equations in various domains, from space tolaboratory plasmas. We have constructed a quantum algorithm for a futurelarge-scale quantum computer to accelerate its costly computation. Thisalgorithm consists mainly of two routines: the Boltzmann solver and the Maxwellsolver. Quantum algorithms undertake these dual procedures, while classicalalgorithms facilitate their interplay. Each solver has a similar structureconsisting of three steps: Encoding, Propagation, and Integration. We conducteda preliminary implementation of the quantum algorithm and performed a parallelvalidation against a comparable classical approach. IBM Qiskit was used toimplement all quantum circuits.

Quantum Calculation of Classical Kinetic Equations: A Novel Approach for  Numerical Analysis of 6D Boltzmann-Maxwell Equations in Collisionless Plasmas  Using Quantum Computing