Space-time inhomogeneous quantum random walk in terms of quantum Bernoulli noise

Meng Li, Caishi Wang, Rui Fu

quantum Bernoulli noise; Space-time inhomogeneous quantum random walk; probability distribution

The evolution equation of the Space-time inhomogeneous quantum random walk in terms of quantum Bernoulli noise not only depends on the change of time, but also on the spatial position of the walker. The model is defined on the space of square summable functions. The canonical isomorphism relationship also can deduce the representation of the model in the tensor space. Mathematical induction gives the probability distribution of the quantum random walk in the general initial state and find that it has the same limit distribution as the classical random walk.

https://dx.doi.org/10.31873/IJEAS.8.8.04