Algebraic Graph Theory Seminar - Emanuel JulianoExport this event to calendar

Monday, January 10, 2022 — 11:30 AM EST

Title: Quantum walks do not like bridges

Speaker: Emanuel Juliano
Affiliation: Universidade Federal de Minas Gerais
Zoom: Contact Sabrina Lato

Abstract:

In this talk we consider graphs with two cut vertices joined by a bridge, and prove that there can be no quantum perfect state transfer between these vertices, unless the graph has no other vertex. We achieve this result by applying the 1-sum lemma for the characteristic polynomial of graphs, the neutrino identities that relate entries of eigenprojectors and eigenvalues, and variational principles for eigenvalues (Cauchy interlacing and Weyl inequalities).

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