Two quantum walkers sharing coins

Details Two quantum walkers sharing coins Two quantum walkers sharing coins

2011-12-07

arxiv.org/abs/1112.1487v3

Physical Review A 85, 022307 (2012)

Physics

Quantum Physics

10 pages, 4 figures

Scientific paper

10.1103/PhysRevA.85.022307

We consider two independent quantum walks on separate lines augmented by partial or full swapping of coins after each step. For classical random walks, swapping or not swapping coins makes little difference to the random walk characteristics, but we show that quantum walks with partial swapping of coins have complicated yet elegant inter-walker correlations. Specifically we study the joint position distribution of the reduced two-walker state after tracing out the coins and analyze total, classical and quantum correlations in terms of the mutual information, the quantum mutual information, and the measurement-induced disturbance. Our analysis shows intriguing quantum features without classical analogues.

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