Pretty good quantum state transfer via transcendental edge weights

• URL: http://arxiv.org/abs/2609.16549v1
• Date: Tue, 15 Sep 2026 02:46:39 GMT
• Title: Pretty good quantum state transfer via transcendental edge weights
• Abstract summary: 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.<n>We prove that there is pretty good state transfer between any pair of endpoints of these paths.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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