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# ANTONINO MESSINA

## Bounds on the entanglement of two-qutrit systems from fixed marginals

• Autori: Baio, G.; Chruscinski, D.; Horodecki, P.; Messina, A.; Sarbicki, G.
• Anno di pubblicazione: 2019
• Tipologia: Articolo in rivista

### Abstract

We discuss the problem of characterizing upper bounds on entanglement in a bipartite quantum system when only the reduced density matrices (marginals) are known. In particular, starting from the known two-qubit case, we propose a family of candidates for maximally entangled mixed states with respect to fixed marginals for two qutrits. These states are extremal in the convex set of two-qutrit states with fixed marginals. Moreover, it is shown that they are always quasidistillable. As a by-product we prove that any maximally correlated state that is quasidistillable must be pure. Our observations for two qutrits are supported by numerical analysis.