Transport regimes of biphoton-state quantum walks in ordered and disordered arrays of nonlinear waveguides

2025/11/10 by Delgado-Quesada, Jefferson, Rojas-González, Edgar A. · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Spectroscopy and Quantum Chemical Studies

paper · doi:10.48550/arxiv.2511.07273

openalex publication_date 2025/11/10 · openalex created_date 2025/11/12 · openalex updated_date 2026/07/28

Abstract

A quantum walk in an ordered medium exhibits ballistic propagation. A related process is the driven quantum walk, in which the number of walkers varies along the propagation. In this work, we show that a driven quantum walk of biphoton states in an array of nonlinear waveguides does not propagate ballistically, but instead presents two transport regimes: superballistic and superdiffusive. We also study the effects of off-diagonal and diagonal disorder. In addition to the observation of Anderson localization, both types of disorder lead to the disappearance of the superballistic regime.

Citations

• Topological protection of photon-pair generation in nonlinear waveguide arrays
• Tailoring quantum walks in integrated photonic lattices
• On Quantum Random Walks in Biomolecular Networks
• Analytic solution to degenerate biphoton states generated in arrays of nonlinear waveguides

Cited by

• Tailoring quantum walks in integrated photonic lattices

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