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arXiv · 1604.05905

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

Peng Xue·Rong Zhang·Zhihao Bian·Xian Zhan·Hao Qin·Barry C. Sanders
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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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Peng Xue, Rong Zhang, Zhihao Bian, Xian Zhan, Hao Qin, Barry C. Sanders. 2016-04-21. Localized State in a Two-Dimensional Quantum Walk on a Disordered Lattice. https://doi.org/10.1103/physreva.92.042316

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