Stationary measures for the three-state Grover walk with one defect in one dimension
Takako Endo, Hikari Kawai, Norio Konno
TL;DR
This paper derives stationary measures for a one-dimensional three-state Grover quantum walk with a defect, linking these measures to the walk's limit behavior and solving the eigenvalue problem.
Contribution
It provides a novel analytical approach to stationary measures for the three-state Grover walk with a defect, connecting them to limit measures.
Findings
Stationary measures are explicitly obtained for the walk.
A relation between stationary and limit measures is established.
Eigenvalue problem solutions underpin the analysis.
Abstract
We obtain stationary measures for the one-dimensional three-state Grover walk with one defect by solving the corresponding eigenvalue problem. We clarify a relation between stationary and limit measures of the walk.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Algebraic structures and combinatorial models