Pretty good quantum state transfer via transcendental edge weights

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.

Quantum Physics (quant-ph); Combinatorics (math.CO)

arXiv:2609.16549 [quant-ph]

(or arXiv:2609.16549v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.16549 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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