Decoherence in Quantum Walks on the Hypercube
量子物理
2009-11-11 v5
摘要
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.
引用
@article{arxiv.quant-ph/0501169,
title = {Decoherence in Quantum Walks on the Hypercube},
author = {Gorjan Alagic and Alexander Russell},
journal= {arXiv preprint arXiv:quant-ph/0501169},
year = {2009}
}
备注
7 pages, 3 figures; v2:corrected typos in references; v3:clarified section 2.1; v4:added references, expanded introduction; v5: final journal version