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Quantum random walks on a beam splitter array

Quantum Physics 2024-03-18 v2

Abstract

The general matrix representation of a beam splitter array is presented. Each beam splitter has a transmission/reflection coefficient that determines the behavior of these individual devices and, in consequence, the whole system response. The general matrix representation of each beam splitter is given as rotations of a 2nth2n-{th} dimensional space. With these operators, the matrix that describes the entire array and, consequently, the final probability distribution of an input photon state can be calculated.

Keywords

Cite

@article{arxiv.2307.04262,
  title  = {Quantum random walks on a beam splitter array},
  author = {Mario Ivan Estrada Delgado and Zurika Iveth Blanco Garcia},
  journal= {arXiv preprint arXiv:2307.04262},
  year   = {2024}
}
R2 v1 2026-06-28T11:25:32.425Z