Reexamination of decoherence in quantum walks on the hypercube

Details Reexamination of decoherence in quantum walks on the hypercube Reexamination of decoherence in quantum walks on the hypercube

2008-08-25

arxiv.org/abs/0808.3403v2

Physics

Quantum Physics

8 pages, 4 figures, revised title and text for PRA

Scientific paper

10.1103/PhysRevA.79.032319

The effect of decoherence on the continuous-time quantum walk on the hypercube is revisited. Previously, an exact solution was found for a decoherence model that preserved the effective tensor-product form of the dynamics. Here a new model is presented, inspired by perfect quantum state transfer in qubit networks. A perturbative solution is found for the dynamics of this model which is not of a tensor-product form. In contrast to previous results, the hitting probability has a lower bound that is independent of the hypercube dimension.

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