Quantum Walks in Periodic and Quasiperiodic Fibonacci Fibers

TL;DR

This paper demonstrates quantum walks in novel multicore optical fibers with periodic and quasiperiodic Fibonacci arrangements, showing potential for scalable quantum applications and controllable localization effects.

Contribution

First experimental demonstration of quantum walks in Fibonacci-based multicore fibers, introducing a new platform for quantum photonics with controllable localization.

Findings

Successful experimental and theoretical agreement on quantum walks in Fibonacci fibers

Localized quantum walks are highly controllable in quasiperiodic structures

Fibonacci fibers are easy to fabricate and suitable for quantum applications

Abstract

Quantum walk is a key operation in quantum computing, simulation, communication and information. Here, we report for the first time the demonstration of quantum walks and localized quantum walks in a new type of optical fibers having a ring of cores constructed with both periodic and quasiperiodic Fibonacci sequences, respectively. Good agreement between theoretical and experimental results have been achieved. The new multicore ring fibers provide a new platform for experiments of quantum effects in low-loss optical fibers which is critical for scalability of real applications with large-size problems. Furthermore, our new quasiperiodic Fibonacci multicore ring fibers provide a new class of quasiperiodic photonics lattices possessing both on- and off-diagonal deterministic disorders for realizing localized quantum walks deterministically. The proposed Fibonacci fibers are simple and straightforward to fabricate and have a rich set of properties that are of potential use for quantum applications. Our simulation and experimental results show that, in contrast with randomly disordered structures, localized quantum walks in new proposed quasiperiodic photonics lattices are highly controllable due to the deterministic disordered nature of quasiperiodic systems.