On applications of quantum computing to plasma simulations

Abstract

Quantum computing is gaining increased attention as a potential way to speed up simulations of physical systems, and it is also of interest to apply it to simulations of classical plasmas. However, quantum information science is traditionally aimed at modeling linear Hamiltonian systems of a particular form that is found in quantum mechanics, so extending the existing results to plasma applications remains a challenge. Here, we report a preliminary exploration of the long-term opportunities and likely obstacles in this area. First, we show that many plasma-wave problems are naturally representable in a quantumlike form and thus are naturally fit for quantum computers. Second, we consider more general plasma problems that include non-Hermitian dynamics (instabilities, irreversible dissipation) and nonlinearities. We show that by extending the configuration space, such systems can also be represented in a quantumlike form and thus can be simulated with quantum computers too, albeit that requires more computational resources compared to the first case. Third, we outline potential applications of hybrid quantum--classical computers, which include analysis of global eigenmodes and also an alternative approach to nonlinear simulations.

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Cited by in corpus (16)

• Improved quantum algorithms for linear and nonlinear differential equations
• Quantum simulation of partial differential equations via Schrodingerisation: technical details
• Time-marching based quantum solvers for time-dependent linear differential equations
• Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations
• Linear embedding of nonlinear dynamical systems and prospects for efficient quantum algorithms
• Quantum Computing for Fusion Energy Science Applications
• Quantum algorithm for nonlinear differential equations
• Quantum Signal Processing for simulating cold plasma waves
• Quantum algorithms for computing observables of nonlinear partial differential equations
• Simulation of linear non-Hermitian boundary-value problems with quantum singular value transformation
• Spin Hall effect of radiofrequency waves in magnetized plasmas
• Observability of fidelity decay at the Lyapunov rate in few-qubit quantum simulations
• Partition Function Estimation: Quantum and Quantum-Inspired Algorithms
• Quantum Instability
• The universe as a nonlinear quantum simulation: Large $n$ limit of the central spin model
• Some Comments on Unitary Qubit Lattice Algorithms for Classical Problems