Non-Unitary Quantum Walks on Hyper-Cycles

Details Non-Unitary Quantum Walks on Hyper-Cycles Non-Unitary Quantum Walks on Hyper-Cycles

2005-09-12

arxiv.org/abs/quant-ph/0509078v2

Phys. Rev. A 73, 012308 (2006)

Physics

Quantum Physics

10 pages, 2 figures; upper-bound to mixing time has been improved

Scientific paper

10.1103/PhysRevA.73.012308

We present analytical treatment of quantum walks on multidimensional
hyper-cycle graphs. We derive the analytical expression of the probability
distribution for strong and weak decoherence regimes. Upper bound to mixing
time is obtained.

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