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.

Baio G., Chruscinski D., Horodecki P., Messina A., Sarbicki G. (2019). Bounds on the entanglement of two-qutrit systems from fixed marginals. PHYSICAL REVIEW A, 99(6) [10.1103/PhysRevA.99.062312].

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

Baio G.;Messina A.;
2019-01-01

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.
2019
Baio G., Chruscinski D., Horodecki P., Messina A., Sarbicki G. (2019). Bounds on the entanglement of two-qutrit systems from fixed marginals. PHYSICAL REVIEW A, 99(6) [10.1103/PhysRevA.99.062312].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/364605
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