3 years ago

Open quantum random walk in terms of quantum Bernoulli noise

Suling Ren, Caishi Wang, Ce Wang, Yuling Tang

Abstract

In this paper, we introduce an open quantum random walk, which we call the QBN-based open walk, by means of quantum Bernoulli noise, and study its properties from a random walk point of view. We prove that, with the localized ground state as its initial state, the QBN-based open walk has the same limit probability distribution as the classical random walk. We also show that the probability distributions of the QBN-based open walk include those of the unitary quantum walk recently introduced by Wang and Ye (Quantum Inf Process 15:1897–1908, 2016) as a special case.

Publisher URL: https://link.springer.com/article/10.1007/s11128-018-1820-2

DOI: 10.1007/s11128-018-1820-2

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