Localized State in a Two-Dimensional Quantum Walk on a Disordered Lattice

Published 20 Apr 2016 in quant-ph | (1604.05905v2)

Abstract: We realize a pair of simultaneous ten-step one-dimensional quantum walks with two walkers sharing coins, which we prove is analogous to the ten-step two-dimensional quantum walk with a single walker holding a four-dimensional coin. Our experiment demonstrates a ten-step quantum walk over an 11x11 two-dimensional lattice with a line defect, thereby realizing a localized walker state.

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