Non-Unitary Quantum Walks on Hyper-Cycles
arXiv:quant-ph/0509078 · doi:10.1103/PhysRevA.73.012308
Abstract
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