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 11×11 two-dimensional lattice with a line defect, thereby realizing a localized walker state.
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Xue et al. (2015) studied this question.
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