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

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arxiv 1604.05905 v2 pith:IDZRX7WC submitted 2016-04-20 quant-ph

Peng Xue , Rong Zhang , Zhihao Bian , Xian Zhan , Hao Qin , Barry C. Sanders This is my paper · ORCID
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keywords quantumten-steptwo-dimensionalwalklatticelocalizedstatewalker
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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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