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Fractional Revival and Association Schemes by Chan, Ada; Coutinho, Gabriel; Tamon, Christino; Vinet, Luc; Zhan, Hanmeng is a scholarly article available to read on EtoBox.

What is Fractional Revival and Association Schemes about?

Fractional revival occurs between two vertices in a graph if a continuous-time quantum walk unitarily maps the characteristic vector of one vertex to a superposition of the characteristic vectors of the two vertices. This phenomenon is relevant in quantum information in particular for entanglement generation in spin networks. We study fractional revival in graphs whose adjacency matrices belong to the Bose-Mesner algebra of association schemes. A specific focus is a characterization of balanced fractional revival (which corresponds to maximal entanglement) in graphs that belong to the Hamming scheme. Our proofs exploit the intimate connections between algebraic combinatorics and orthogonal polynomials.

Author

Chan, Ada; Coutinho, Gabriel; Tamon, Christino; Vinet, Luc; Zhan, Hanmeng

Published

2019

Language

EN