A 2D quantum walk simulation of two-particle dynamics

Andreas Schreiber; Aurél Gábris; Peter P. Rohde; Kaisa Laiho; Martin Štefaňák; Václav Potoček; Craig Hamilton; Igor Jex; Christine Silberhorn

doi:10.1126/science.1218448

A 2D quantum walk simulation of two-particle dynamics

Andreas Schreiber^*, Aurél Gábris, Peter P. Rohde, Kaisa Laiho, Martin Štefaňák, Václav Potoček, Craig Hamilton, Igor Jex, Christine Silberhorn

^*Corresponding author for this work

Department of Physics and Astronomy

Research output: Contribution to journal › Article

245 Citations (Scopus)

Abstract

Multidimensional quantum walks can exhibit highly nontrivial topological structure, providing a powerful tool for simulating quantum information and transport systems. We present a flexible implementation of a two-dimensional (2D) optical quantum walk on a lattice, demonstrating a scalable quantum walk on a nontrivial graph structure. We realized a coherent quantum walk over 12 steps and 169 positions by using an optical fiber network. With our broad spectrum of quantum coins, we were able to simulate the creation of entanglement in bipartite systems with conditioned interactions. Introducing dynamic control allowed for the investigation of effects such as strong nonlinearities or two-particle scattering. Our results illustrate the potential of quantum walks as a route for simulating and understanding complex quantum systems.

Original language	English
Pages (from-to)	55-58
Number of pages	4
Journal	Science
Volume	335
Issue number	6077
DOIs	https://doi.org/10.1126/science.1218448
Publication status	Published - 6 Apr 2012

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abstract = "Multidimensional quantum walks can exhibit highly nontrivial topological structure, providing a powerful tool for simulating quantum information and transport systems. We present a flexible implementation of a two-dimensional (2D) optical quantum walk on a lattice, demonstrating a scalable quantum walk on a nontrivial graph structure. We realized a coherent quantum walk over 12 steps and 169 positions by using an optical fiber network. With our broad spectrum of quantum coins, we were able to simulate the creation of entanglement in bipartite systems with conditioned interactions. Introducing dynamic control allowed for the investigation of effects such as strong nonlinearities or two-particle scattering. Our results illustrate the potential of quantum walks as a route for simulating and understanding complex quantum systems.",

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AU - Schreiber, Andreas

AU - Gábris, Aurél

AU - Rohde, Peter P.

AU - Laiho, Kaisa

AU - Štefaňák, Martin

AU - Potoček, Václav

AU - Hamilton, Craig

AU - Jex, Igor

AU - Silberhorn, Christine

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AB - Multidimensional quantum walks can exhibit highly nontrivial topological structure, providing a powerful tool for simulating quantum information and transport systems. We present a flexible implementation of a two-dimensional (2D) optical quantum walk on a lattice, demonstrating a scalable quantum walk on a nontrivial graph structure. We realized a coherent quantum walk over 12 steps and 169 positions by using an optical fiber network. With our broad spectrum of quantum coins, we were able to simulate the creation of entanglement in bipartite systems with conditioned interactions. Introducing dynamic control allowed for the investigation of effects such as strong nonlinearities or two-particle scattering. Our results illustrate the potential of quantum walks as a route for simulating and understanding complex quantum systems.

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