Non-Unitary Quantum Walks on Hyper-Cycles
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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.
10 pages, 2 figures; upper-bound to mixing time has been improved
10 pages, 2 figures; upper-bound to mixing time has been improved