On the entropy of decoherence matrix for quantum walks

Details On the entropy of decoherence matrix for quantum walks On the entropy of decoherence matrix for quantum walks

2012-02-07

arxiv.org/abs/1202.1376v1

Physics

Quantum Physics

9 pages

Scientific paper

The decoherence matrix studied by Gudder and Sorkin (2011) can be considered as a map from the set of all the pairs of $n$-length paths to complex numbers, which is induced by the discrete-time quantum walk. The decoherence matrix is one of the decoherence functionals which present their historical quantum measure theory. In this paper, we compute the von Neumann entropy of the decoherence matrix. To do so, we use the result that the eigensystem of the decoherence matrix can be expressed by a corresponding correlated random walk.

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