Second quantization of nonlinear Vlasov-Poisson system for quantum computation

• URL: http://arxiv.org/abs/2506.01895v1
• Date: Mon, 02 Jun 2025 17:20:25 GMT
• Title: Second quantization of nonlinear Vlasov-Poisson system for quantum computation
• Authors: Michael Q. May, Hong Qin,
• Abstract summary: The Vlasov-Poisson equations are rendered linear, finite-dimensional, and discrete by second quantization.<n> numerical simulations demonstrating the quantized linear system can capture nonlinear dynamics are presented.
• Score: 18.79946237767752
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Vlasov-Poisson equations, fundamental in plasma physics and astrophysical applications, are rendered linear, finite-dimensional, and discrete by second quantization. Conditions for correspondence between the pre-quantized and quantized equations are derived, and numerical simulations demonstrating the quantized linear system can capture nonlinear dynamics are presented. Finally, encouraging scaling relations emphasizing the prospect of using quantum computers to efficiently integrate the second quantized Vlasov-Poisson equations as a model for the usual Vlasov-Poisson equations are derived.

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