Quantum walk on circles in phase space
arXiv:0802.3749 · doi:10.1088/1367-2630/10/5/053025
Abstract
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.
10 pages, 5 figures
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- Quantum walks on a circle with optomechanical systems
- Discrete time quantum walk with nitrogen-vacancy centers in diamond coupled to a superconducting flux qubit
- Non-Markovian Decoherent Quantum Walks
- Generation of the superposition of mesoscopic states of nano-mechanical resonator by a single two-level system
- Quantum walk for SU(1,1)