Localized State in a Two-Dimensional Quantum Walk on a Disordered Lattice
arXiv:1604.05905 · doi:10.1103/PhysRevA.92.042316
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.
arXiv comment8 pages, 5 figures
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