• 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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## Coined quantum walks on weighted graphs

VIEW 3 EXCERPTS
CITES BACKGROUND
HIGHLY INFLUENCED

#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 29 REFERENCES

## Continuous deformations of the Grover walk preserving localization

VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

## Grover search with lackadaisical quantum walks

VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

## Grover walks on a line with absorbing boundaries

• Quantum Information Processing
• 2016
VIEW 1 EXCERPT

• 2015
VIEW 2 EXCERPTS

VIEW 2 EXCERPTS

## Limit theorems of a 3-state quantum walk and its application for discrete uniform measures

• Quantum Information & Computation
• 2014
VIEW 3 EXCERPTS

VIEW 3 EXCERPTS

## Stability of point spectrum for three-state quantum walks on a line

• Quantum Information & Computation
• 2013
VIEW 2 EXCERPTS

## Quantum walks: a comprehensive review

• Quantum Information Processing
• 2012
VIEW 2 EXCERPTS

VIEW 2 EXCERPTS