Decoherence in one-dimensional Quantum Walk

Details Decoherence in one-dimensional Quantum Walk Decoherence in one-dimensional Quantum Walk

2009-10-11

arxiv.org/abs/0910.1986v1

Phys. Rev. A 81, 032321 (2010)

Physics

Quantum Physics

11 pages, 2 figures

Scientific paper

10.1103/PhysRevA.81.032321

In this paper we study decoherence in the quantum walk on the line. We generalize the method of decoherent coin quantum walk, introduced by Brun et al [Phys. Rev. A {\bf 67}, 32304 (2003)]. Our analytical expressions are applicable for all kinds of decoherence. As an example of the coin-position decoherence, we study the broken line quantum walk and compare our results with the numerical one. We also show that our analytical results reduce to the Brun formalism when only the coin is subjected to decoherence.

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