Work

Pretty good quantum state transfer via transcendental edge weights

Year: 2026

Type: preprint

Abstract: We prove that if we take a rooted product of a circulant graph with universal perfect state transfer with a path of fixed length whose end edge is weighted with a transcendental number, then there is pretty good state transfer between any pair of endpoints of these paths. As a consequence, in a path with an even number of vertices with transcendental weights on the two edges incident to the endpoints, there is pretty good state transfer.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.16549

Authors: Ballif, Addison, Kempton, Mark, Larsen, James B., Sandall, Kellon, Tamon, Christino, Wai, Trevor

Institutions: Brigham Young University - Idaho, Brigham Young University, University of Michigan, Clarkson University

Language: English

Topic: Graph theory and applications

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: ExpandQISE: Track 1: Quantum Walk Advantage in Algorithm and Protocol Design

OpenAlex ID: W7213424055

Cites: 1

Cited by:

Related to: 10