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A 2D Quantum Walk Simulation of Two-Particle Dynamics

2012/04/16 by Andreas Schreiber, Aurel Gabris, Peter P. Rohde +6 · 3 citations
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1126/science.1218448

published as Science 336 55-58 (2012)

arxiv created 2012/04/16 · arxiv updated 2012/04/17

Abstract

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.

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