English

Szegedy Quantum Walks with Memory on Regular Graphs

Quantum Physics 2019-05-03 v1

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.

Keywords

Cite

@article{arxiv.1905.00625,
  title  = {Szegedy Quantum Walks with Memory on Regular Graphs},
  author = {Dan Li and Ying Liu and Yu-Guang Yang and Juan Xu and Jia-Bing Yuan},
  journal= {arXiv preprint arXiv:1905.00625},
  year   = {2019}
}

Comments

6 pages, 8 figures

R2 v1 2026-06-23T08:54:57.129Z