English

Pretty good state transfer among large sets of vertices

Combinatorics 2023-05-24 v1 Quantum Physics

Abstract

In a continuous-time quantum walk on a network of qubits, pretty good state transfer is the phenomenon of state transfer between two vertices with fidelity arbitrarily close to 1. We construct families of graphs to demonstrate that there is no bound on the size of a set of vertices that admit pretty good state transfer between any two vertices of the set.

Keywords

Cite

@article{arxiv.2305.14276,
  title  = {Pretty good state transfer among large sets of vertices},
  author = {Ada Chan and Peter Sin},
  journal= {arXiv preprint arXiv:2305.14276},
  year   = {2023}
}