• Physics, Mathematics
  • Published 2016

The Lackadaisical Quantum Walker is NOT Lazy at all

@inproceedings{Wang2016TheLQ,
  title={The Lackadaisical Quantum Walker is NOT Lazy at all},
  author={Kun Yuan Wang and Nan Wu and Ping Bo Xu and Fangmin Song},
  year={2016}
}
In this paper, we study the properties of lackadaisical quantum walks on a line. This model is first proposed in~\cite{wong2015grover} as a quantum analogue of lazy random walks where each vertex is attached $\tau$ self-loops. First, we derive an analytic expression for the localization probability of the walker being at the origin after infinite steps. We find that the probability is independent on the initial coin state, and is totally determined by $\tau$. Then, we observe the probability… CONTINUE READING
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