Decoherence in Quantum Walks on the Hypercube

Details Decoherence in Quantum Walks on the Hypercube Decoherence in Quantum Walks on the Hypercube

2005-01-28

arxiv.org/abs/quant-ph/0501169v5

Physical Review A 72, 062304 (2005)

Physics

Quantum Physics

7 pages, 3 figures; v2:corrected typos in references; v3:clarified section 2.1; v4:added references, expanded introduction; v5

Scientific paper

10.1103/PhysRevA.72.062304

We study a natural notion of decoherence on quantum random walks over the
hypercube. We prove that in this model there is a decoherence threshold beneath
which the essential properties of the hypercubic quantum walk, such as linear
mixing times, are preserved. Beyond the threshold, we prove that the walks
behave like their classical counterparts.

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