Bounds on the entanglement of two-qutrit systems from fixed marginals
- Authors: Baio G.; Chruscinski D.; Horodecki P.; Messina A.; Sarbicki G.
- Publication year: 2019
- Type: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/364605
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.