Decoherence vs entanglement in coined quantum walks

Details Decoherence vs entanglement in coined quantum walks Decoherence vs entanglement in coined quantum walks

2006-12-29

arxiv.org/abs/quant-ph/0612229v2

New J. Phys. 9 (2007) 87

Physics

Quantum Physics

11 pages, 6 embedded eps figures; v2 improved layout and discussion

Scientific paper

10.1088/1367-2630/9/4/087

Quantum versions of random walks on the line and cycle show a quadratic improvement in their spreading rate and mixing times respectively. The addition of decoherence to the quantum walk produces a more uniform distribution on the line, and even faster mixing on the cycle by removing the need for time-averaging to obtain a uniform distribution. We calculate numerically the entanglement between the coin and the position of the quantum walker and show that the optimal decoherence rates are such that all the entanglement is just removed by the time the final measurement is made.

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