Localized state in a two-dimensional quantum walk on a disordered lattice
Peng Xue, Rong Zhang, Zhihao Bian, Xiang Zhan, Hao Qin, Barry Cyril Sanders · Physical Review A · 2015
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 $11\ifmmode\times\else\texttimes\fi{}11$ two-dimensional lattice with a line defect, thereby realizing a localized walker state.