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We realize a pair of simultaneous ten-step one-dimensional quantum walks withtwo walkers sharing coins, which we prove is analogous to the ten-steptwo-dimensional quantum walk with a single walker holding a four-dimensionalcoin. Our experiment demonstrates a ten-step quantum walk over an 11x11two-dimensional lattice with a line defect, thereby realizing a localizedwalker state.

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