Spontaneous parametric downconversion and quantum walk topology

2015/10/31 by Graciana Puentes
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Computer science #Electrical engineering #Engineering #Mathematics #Parametric statistics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum computer #Quantum entanglement #Quantum mechanics #Quantum walk #Spontaneous parametric down-conversion #Topology (electrical circuits) #quant-ph

paper · pdf · doi:10.1364/josab.33.000461

published as J. Opt. Soc. Am. B 33(3), 461-467 (2016) · 7 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1409.1273

openalex publication_date 2016/02/23 · arxiv created 2016/04/27 · arxiv updated 2016/05/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We propose a novel scheme for the all-optical quantum simulation of topological phases by means of implementation of a discrete-time quantum walk architecture. The main novel ingredient is the inclusion of the nonlinear process of spontaneous parametric downconversion (SPDC) along the quantum network. By means of a simple theoretical model, the interplay between quantum walk lattice topology and spatial correlations of biphotons produced by SPDC is numerically explored. We describe different optical detection methods suitable for the implementation of our proposed experimental scheme.

Citations

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