A Hybrid Quantum-Classical Particle-in-Cell Method for Plasma Simulations
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916926889918464 |
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| author | Hegde, Pratibha Raghupati Marcandelli, Paolo He, Yuanchun Pennati, Luca Williams, Jeremy J. Peng, Ivy Markidis, Stefano |
| author_facet | Hegde, Pratibha Raghupati Marcandelli, Paolo He, Yuanchun Pennati, Luca Williams, Jeremy J. Peng, Ivy Markidis, Stefano |
| contents | We present a hybrid quantum-classical electrostatic Particle-in-Cell (PIC) method, where the electrostatic field Poisson solver is implemented on a quantum computer simulator using a hybrid classical-quantum Neural Network (HNN) using data-driven and physics-informed learning approaches. The HNN is trained on classical PIC simulation results and executed via a PennyLane quantum simulator. The remaining computational steps, including particle motion and field interpolation, are performed on a classical system. To evaluate the accuracy and computational cost of this hybrid approach, we test the hybrid quantum-classical electrostatic PIC against the two-stream instability, a standard benchmark in plasma physics. Our results show that the quantum Poisson solver achieves comparable accuracy to classical methods. It also provides insights into the feasibility of using quantum computing and HNNs for plasma simulations. We also discuss the computational overhead associated with current quantum computer simulators, showing the challenges and potential advantages of hybrid quantum-classical numerical methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09260 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Hybrid Quantum-Classical Particle-in-Cell Method for Plasma Simulations Hegde, Pratibha Raghupati Marcandelli, Paolo He, Yuanchun Pennati, Luca Williams, Jeremy J. Peng, Ivy Markidis, Stefano Quantum Physics Emerging Technologies We present a hybrid quantum-classical electrostatic Particle-in-Cell (PIC) method, where the electrostatic field Poisson solver is implemented on a quantum computer simulator using a hybrid classical-quantum Neural Network (HNN) using data-driven and physics-informed learning approaches. The HNN is trained on classical PIC simulation results and executed via a PennyLane quantum simulator. The remaining computational steps, including particle motion and field interpolation, are performed on a classical system. To evaluate the accuracy and computational cost of this hybrid approach, we test the hybrid quantum-classical electrostatic PIC against the two-stream instability, a standard benchmark in plasma physics. Our results show that the quantum Poisson solver achieves comparable accuracy to classical methods. It also provides insights into the feasibility of using quantum computing and HNNs for plasma simulations. We also discuss the computational overhead associated with current quantum computer simulators, showing the challenges and potential advantages of hybrid quantum-classical numerical methods. |
| title | A Hybrid Quantum-Classical Particle-in-Cell Method for Plasma Simulations |
| topic | Quantum Physics Emerging Technologies |
| url | https://arxiv.org/abs/2505.09260 |