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# Mixing and decoherence in continuous-time quantum walks on cycles

@article{Fedichkin2006MixingAD, title={Mixing and decoherence in continuous-time quantum walks on cycles}, author={Leonid Fedichkin and Dmitry Solenov and Christino Tamon}, journal={Quantum Information & Computation}, year={2006}, volume={6}, pages={263-276} }

- Published 2006 in Quantum Information & Computation

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 by Kendon and Tregenna ( Physical Review A 67 (2003), 042315) of a similar phenomenon for discrete-time quantum walks. Ou r analytical treatment of continuous-time quantum walks includes a continuous monit ori g of all vertices that induces the decoherence process. We identify the dynamics o f the probability… CONTINUE READING