A 2D Quantum Walk Simulation of Two-Particle Dynamics

Multi-dimensional quantum walks can exhibit highly non-trivial topological structure, providing a powerful tool for simulating quantum information and transport systems. We present a flexible implementation of a 2D optical quantum walk on a lattice, demonstrating a scalable quantum walk on a non-tri...

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Published inarXiv.org
Main Authors Schreiber, Andreas, Gabris, Aurel, Rohde, Peter P, Laiho, Kaisa, Stefanak, Martin, Potocek, Vaclav, Hamilton, Craig, Jex, Igor, Silberhorn, Christine
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 16.04.2012
Subjects
Coins
Conditioning
Dynamic control
Optical fibers
Physics - Quantum Physics
Quantum entanglement
Quantum phenomena
Simulation
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Summary:Multi-dimensional quantum walks can exhibit highly non-trivial topological structure, providing a powerful tool for simulating quantum information and transport systems. We present a flexible implementation of a 2D optical quantum walk on a lattice, demonstrating a scalable quantum walk on a non-trivial graph structure. We realized a coherent quantum walk over 12 steps and 169 positions 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 non-linearities or two-particle scattering. Our results illustrate the potential of quantum walks as a route for simulating and understanding complex quantum systems.
ISSN:2331-8422
DOI:10.48550/arxiv.1204.3555