# Limit properties of global interaction stochastic quantum walks on directed graphs

@article{Glos2018LimitPO, title={Limit properties of global interaction stochastic quantum walks on directed graphs}, author={Adam Glos and J. A. Miszczak and M. Ostaszewski}, journal={Journal of Physics A}, year={2018}, volume={51}, pages={035304} }

In this paper we show that the subspace of stationary states of quantum stochastic walk in the global interaction regime for undirected graphs equals the one for original continuous quantum walk. This demonstrates that the global interaction quantum stochastic walk do not have the relaxing property. We also show that in this model an arbitrary mixed state converges to a stationary state. This cannot be generalized and we provide examples for directed graph which do not have the convergence… CONTINUE READING

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