# Lively quantum walks on cycles

arXiv: https://arxiv.org/abs/1512.02802 · HTML: https://mlsanity.com/paper/1512.02802/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 9 Dec 2015.

## Built on by (most cited first, 1 of 1)

- [Bandit Algorithm Driven by a Classical Random Walk and a Quantum Walk](https://mlsanity.com/paper/2304.10118/) (2023)

## Abstract (arXiv)

We introduce a family of quantum walks on cycles parametrized by their liveliness, defined by the ability to execute a long-range move. We investigate the behaviour of the probability distribution and time-averaged probability distribution. We show that the liveliness parameter, controlling the magnitude of the additional long-range move, has a direct impact on the periodicity of the limiting distribution. We also show that the introduced model provides a method for network exploration which is robust against trapping.