Mixing-time and large-decoherence in continuous-time quantum walks on one-dimension regular networks

Details Mixing-time and large-decoherence in continuous-time quantum walks on one-dimension regular networks Mixing-time and large-decoherence in continuous-time quantum walks on one-dimension regular networks

2010-01-07

arxiv.org/abs/1001.1034v2

Physics

Quantum Physics

21 pages, 2 figures, accepted for publication in Quantum Information Processing

Scientific paper

In this paper, we study mixing and large decoherence in continuous-time quantum walks on one dimensional regular networks, which are constructed by connecting each node to its $2l$ nearest neighbors($l$ on either side). In our investigation, the nodes of network are represented by a set of identical tunnel-coupled quantum dots in which decoherence is induced by continuous monitoring of each quantum dot with nearby point contact detector. To formulate the decoherent CTQWs, we use Gurvitz model and then calculate probability distribution and the bounds of instantaneous and average mixing times. We show that the mixing times are linearly proportional to the decoherence rate. Moreover, adding links to cycle network, in appearance of large decoherence, decreases the mixing times.

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