6533b7d1fe1ef96bd125cc05
RESEARCH PRODUCT
Bounds on the entanglement of two-qutrit systems from fixed marginals
Paweł HorodeckiPaweł HorodeckiDariusz ChruścińskiGniewomir SarbickiGiuseppe BaioAntonino Messinasubject
PhysicsMixed statesNumerical analysisConvex setQuantum PhysicsQuantum entanglementState (functional analysis)01 natural sciences010305 fluids & plasmas0103 physical sciencesBipartite graphQuantum systemStatistical physicsQutritQuantum Entanglement010306 general physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-06-11 |