128 citations · 693 across the 29 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Collective Decoherence of Nuclear Spin Clusters
A. Fedorov, L. Fedichkin
The problem of dipole-dipole decoherence of nuclear spins is considered for strongly entangled spin cluster. Our results show that its dynamics can be described as the decoherence…