Quantum walk on circles in phase space

Details Quantum walk on circles in phase space Quantum walk on circles in phase space

2008-02-26

arxiv.org/abs/0802.3749v1

New Journal of Physics 10, 053025 (2008)

Physics

Quantum Physics

10 pages, 5 figures

Scientific paper

10.1088/1367-2630/10/5/053025

We propose a variation of the quantum walk on a circle in phase space by conjoining the Hadamard coin flip with simultaneous displacement of the walker's location in phase space and show that this generalization is a proper quantum walk albeit over multiple concentric circles in phase instead of just over one circle. We motivate the conjoining of Hadamard and displacement operations by showing that the Jaynes-Cummings model for coin+walker approximately yields this description in the dispersive limit. The quantum walk signature is evident in the phase distribution of the walker provided that appropriate pulse durations are applied for each coin flip.

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