Quantum walks in two dimensions: controlling directional spreading with entangling coins and tunable disordered step operator

Author:

Naves Caio BORCID,Pires Marcelo AORCID,Soares-Pinto Diogo OORCID,Duarte Queirós Sílvio MORCID

Abstract

Abstract We study a 2D disordered discrete-time quantum walk (QW) based on 1D generalized elephant QW where an entangling coin operator is assumed. We show that considering a given disorder in one direction, it is possible to control the degree of spreading and entanglement in the other direction. This observation helps assert that the random QWs of this ilk serve as a controllable decoherence channel with the degree of randomness being the tunable parameter and highlight the role of dimensionality in quantum systems regarding information and transport.

Funder

Brazilian National Institute of Science and Technology of Quantum Information

Fundação de Amparo à Pesquisa do Estado de São Paulo

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

São Carlos Institute of Physics, University of São Paulo

Publisher

IOP Publishing

Subject

General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics

Reference65 articles.

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