Quantum Walks in Periodic and Quasiperiodic Fibonacci Fibers

Dan T Nguyen,Rostislav Khrapko,Thien An Nguyen,Nicholas F Borrelli,Daniel A Nolan

doi:10.1038/s41598-020-64065-6

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 has 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.

Highlights

For the last decade there has been significant of efforts in the investigation of quantum walks (QWs) in photonics lattices or arrays of waveguides[1,2,3,4,5]
These arrays of waveguides represent a new class of quasiperiodic photonics lattices (QPLs) possessing both on- and off-diagonal deterministic disorders that can be used for deterministically realizing LQWs37,38
We have demonstrated for the first time QWs and localized quantum walks (LQWs) in a new type of optical fibers having cores constructed with periodic and quasiperiodic Fibonacci sequence, respectively

Summary

Introduction

For the last decade there has been significant of efforts in the investigation of quantum walks (QWs) in photonics lattices or arrays of waveguides[1,2,3,4,5]. The effect has been realized in other quasiperiodic structures such as quasi-crystalline Fibonacci dielectric multilayers (FDML)[32,33], in semiconductor multiple quantum-wells[34], two-dimensional (2D), and three-dimensional (3D) quasi-crystal structures[35,36] At this point, we want to stress that due to the randomness nature of Anderson localization, quantifying the localization effect would require great efforts. It is well established that localization of light can be realized in quasi-crystals or quasiperiodic photonics structures[30,31,32,33] In such cases, deviations from periodicity provide deterministic disorders lead to localizations in the quasiperiodic systems. The multicore fibers with extremely low insertion loss would be critical for scalable platforms for QWs, and quantum photonics computing and simulations to solve large-size problems which are intractable on classical computing

Methods

Conclusion