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

Antonino Messina, Gniewomir Sarbicki, Dariusz Chruściński, Paweł Horodecki, Giuseppe Baio, Antonino Messina, Giuseppe Baio

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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.
Original languageEnglish
Number of pages10
JournalPhysical Review A
Publication statusPublished - 2019

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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