Pseudo-Hermitian continuous-time quantum walks

Details Pseudo-Hermitian continuous-time quantum walks Pseudo-Hermitian continuous-time quantum walks

2009-04-26

arxiv.org/abs/0904.4026v3

J. Phys. A: Math. Theor. 43 (2010) 275304

Physics

Quantum Physics

13 page, 7 figures

Scientific paper

In this paper we present a model exhibiting a new type of continuous-time quantum walk (as a quantum mechanical transport process) on networks, which is described by a non-Hermitian Hamiltonian possessing a real spectrum. We call it pseudo-Hermitian continuous-time quantum walk. We introduce a method to obtain the probability distribution of walk on any vertex and then study a specific system. We observe that the probability distribution on certain vertices increases compared to that of the Hermitian case. This formalism makes the transport process faster and can be useful for search algorithms.

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