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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…
Solvable Quantum Two-Body Problem:Entanglement
ML Glasser, LM Nieto
A simple one dimensional model is introduced describing a two particle "atom" approaching a point at which the interaction between the particles is lost. The wave function is obtai…