Adrián Solymos (Eötvös Loránd University): Extendibility of quantum states

Quantum Information and Quantum Computing Seminars CTP PAS 2021-10-20

Unlike classical states, quantum states cannot necessarily be extended in such a way that the two-particle reduced states are all identical. More precisely, only the separable states are those that can be extended in such a way. The so-called shareability or extendibility number describes how many parties a given state can be extended to. This is a good entanglement measure (i.e., a LOCC-monotone function), however, it has been calculated only for a few types of states. The talk presents the (k,l)-shareable states for a set Werner-like states, and the set of (1,2)-shareable OO-states.