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arXiv · 2307.04262

Quantum random walks on a beam splitter array

Mario Ivan Estrada Delgado·Zurika Iveth Blanco Garcia
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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 $2n-{th}$ 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.

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Mario Ivan Estrada Delgado, Zurika Iveth Blanco Garcia. 2023-07-09. Quantum random walks on a beam splitter array. https://doi.org/10.1140/epjp/s13360-024-05050-0

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