On the Recurrence Character of the Hadamard walk in the Plane
Clement Ampadu
TL;DR
This paper investigates the recurrence properties of the Hadamard quantum walk on a square lattice, focusing on return probabilities and how bias affects its stability.
Contribution
It provides new insights into the recurrence behavior of the Hadamard walk and analyzes the impact of bias on its stability properties.
Findings
Recurrence behavior of the Hadamard walk analyzed
Bias influences the stability of the walk
Return probabilities characterized
Abstract
We study return to the origin on the square lattice and investigate the stability properties of the Hadamard walk in the presence of bias.
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
Topicsgraph theory and CDMA systems · Coding theory and cryptography · Polynomial and algebraic computation