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arXiv · 1905.00625

Szegedy Quantum Walks with Memory on Regular Graphs

Dan Li·Ying Liu·Yu-Guang Yang·Juan Xu·Jia-Bing Yuan
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Abstract

Quantum walks with memory(QWM) are a type of modified quantum walks that record the walker's latest path. The general model of coined QWM is presented in Phys. Rev. A 93, 042323 (2016). In this paper, we present general model of Szegedy QWM. Importantly, the relation of coined QWM and Szegedy QWM is revealed. By transforming coined QWM to Szegedy QWM, some amazing results about QWM are founded.

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Dan Li, Ying Liu, Yu-Guang Yang, Juan Xu, Jia-Bing Yuan. 2019-05-02. Szegedy Quantum Walks with Memory on Regular Graphs. https://arxiv.org/abs/1905.00625

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