Quantum Walks: A Comprehensive Review
by Salvador E. Venegas-Andraca
Publisher: arXiv 2012
Number of pages: 88
Quantum walks, the quantum mechanical counterpart of classical random walks, is an advanced tool for building quantum algorithms that has been recently shown to constitute a universal model of quantum computation. In this paper we review theoretical advances on the foundations of both discrete- and continuous-time quantum walks, together with the role that randomness plays in quantum walks.
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The text focuses on applications of quantum computation to problems of interest in physics and chemistry. The authors describe quantum simulation algorithms that have been developed for electronic-structure problems, thermal-state preparation, etc.
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