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Quantum Simulation

Feynman path sum approach for simulation of linear optics

arXiv
Authors: Wagner F. Balthazar, Quinn M. B. Palmer, Alex. E. Jones, Jake F. F. Bulmer, Ernesto. F. Galvão

Year

2025

Paper ID

17854

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

N/A

Abstract

The Feynman path integral formalism has inspired the development of memory-efficient and parallelizable classical algorithms for simulating quantum computers. We adapt this approach for the calculation of probability amplitudes of linear-optical boson sampling experiments, which involve Fock-state inputs, linear optical circuits, and photo-detection at the output. We describe this simulation method and compare it with alternative approaches. Additionally, we implement a Linear-Optical Feynman Path simulator in open-source C code, enhancing its performance using tensor contraction techniques. Our method is benchmarked for low-depth linear optical circuits, where it offers advantages in runtime and memory efficiency.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2025 reference point for readers tracking recent quantum research.
  • The Feynman path integral formalism has inspired the development of memory-efficient and parallelizable classical algorithms for simulating quantum computers.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2510.26408 [2] arXiv https://arxiv.org/abs/2510.26408 [3] Publisher https://arxiv.org/abs/2510.26408

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