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arXiv · 1211.0172

Symmetries in discrete time quantum walks on Cayley graphs

Václav Potoček
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Abstract

We address the question of symmetries of an important type of quantum walks. We introduce all the necessary definitions and provide a rigorous formulation of the problem. Using a thorough analysis, we reach the complete answer by presenting a constructive method of finding all solutions of the problem with minimal additional assumptions. We apply the results on an example of a quantum walk on a line to demonstrate the practical significance of the theory.

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Václav Potoček. 2012-11-01. Symmetries in discrete time quantum walks on Cayley graphs. https://arxiv.org/abs/1211.0172

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