2019/12/18 by Leonardo Neves, Graciana Puentes
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.3390/e20100731
published as Entropy 2018, 20(10), 731 · 17 pages, 5 figures. arXiv admin note: text overlap with arXiv:1609.07572
arxiv created 2019/12/18 · arxiv updated 2020/01/08
We present a review of photonic implementations of discrete-time quantum walks (DTQW) in the spatial and temporal domains, based on spatial- and time-multiplexing techniques, respectively. Additionally, we propose a detailed novel scheme for photonic DTQW, using transverse spatial modes of single photons and programmable spatial light modulators (SLM) to manipulate them. Unlike all previous mode-multiplexed implementations, this scheme enables simulation of an arbitrary step of the walker, only limited, in principle, by the SLM resolution. We discuss current applications of such photonic DTQW architectures in quantum simulation of topological effects and the use of non-local coin operations based on two-photon hybrid entanglement.