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Quantum Simulation
Return probability and self-similarity of the Riesz walk
arXiv
Authors: Ryota Hanaoka, Norio Konno
Year
2020
Paper ID
20080
Status
Preprint
Abstract Read
~2 min
Abstract Words
96
Citations
N/A
Abstract
The quantum walk is a counterpart of the random walk. The 2-state quantum walk in one dimension can be determined by a measure on the unit circle in the complex plane. As for the singular continuous measure, results on the corresponding quantum walk are limited. In this situation, we focus on a quantum walk, called the Riesz walk, given by the Riesz measure which is one of the famous singular continuous measures. The present paper is devoted to the return probability of the Riesz walk. Furthermore, we present some conjectures on the self-similarity of the walk.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2020 reference point for readers tracking recent quantum research.
- The quantum walk is a counterpart of the random walk.
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