82 citations · 119 across the 3 of their papers we have counts for
3 papers
quant-ph2005★ 25 cited
Non-Unitary Quantum Walks on Hyper-Cycles
Dmitry Solenov, Leonid Fedichkin
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 dec…
quant-ph2005★ 12 cited
Mixing and Decoherence in Continuous-Time Quantum Walks on Cycles
Leonid Fedichkin, Dmitry Solenov, Christino Tamon
We prove analytical results showing that decoherence can be useful for mixing time in a continuous-time quantum walk on finite cycles. This complements the numerical observations b…
quant-ph2005★ 82 cited
Continuous-time Quantum Walks on a Cycle Graph
Dmitry Solenov, Leonid Fedichkin
We present analytical treatment of quantum walks on a cycle graph. The investigation is based on a realistic physical model of the graph in which decoherence is induced by continuo…