Institut de Mathématiques de Toulouse

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  • Séminaire Maths-Physique IMT-LPT

    Mercredi 10 avril 11:00-12:00 - Christian MAJENZ - QuSoft, University of Amsterdam

    The mathematical structure of port-based teleportation

    Résumé : Port-based teleportation is a variant of the ubiquitous quantum teleportation protocol by Bennett et al., where the receiver has to merely pick up the right quantum system, called “port”, instead of having to apply a unitary correction. While much less efficient and fundamentally imperfect, it enables applications such as instantaneous non-local computation due to a “simultaneous unitary covariance” property. After introducing the symmetries of the problem, that enable an application of Schur-Weyl duality, I will show how the leading order asymptotics for large number of ports of the optimal error is related to the principal eigenvalue of the Dirichlet Laplacian on the simplex of ordered probability distributions. If time permits, I will briefly explain a strengthening of a convergence result for a family of probability distributions arising in representation theory and combinatorics that can be used to analyze the asymptotics of the simpler standard protocol.

    Lieu : Salle 106, Bâtiment 1R1

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