Entanglement of Multipartite Schmidt-correlated States Entanglement of Multipartite Schmidt-correlated States
نویسندگان
چکیده
We generalize the Schmidt-correlated states to multipartite systems. The related equivalence under SLOCC, the separability, entanglement witness, entanglement measures of negativity, concurrence and relative entropy are investigated in detail for the generalized Schmidt-correlated states.
منابع مشابه
On Multipartite Pure-State Entanglement
We show that pure states of multipartite quantum systems are multiseparable (i.e. give separable density matrices on tracing any party) if and only if they have a generalized Schmidt decomposition. Implications of this result for the quantification of multipartite pure-state entanglement are discussed. Further, as an application of the techniques used here, we show that any purification of a bi...
متن کاملThe Relative Entropy of Entanglement of Schmidt Correlated States and Distillation
We show that a mixed state ρ = ∑ mn amn|m〉〈n| can be realized by an ensemble of pure states {pk, |φk〉} where |φk〉 = ∑ m √ amme iθ m |m〉. Employing this form, we discuss the relative entropy of entanglement of Schmidt correlated states. Also, we calculate the distillable entanglement of a class of mixed states. 03.67.-a,03.65.Bz,03.65.Ud Typeset using REVTEX 1 Quantum entanglement is at the hear...
متن کاملAdditivity and non-additivity of multipartite entanglement measures
We study the additivity property of three multipartite entanglement measures, i.e. the geometric measure of entanglement (GM), the relative entropy of entanglement and the logarithmic global robustness. Firstly, we show the additivity of GM of multipartite states with real and non-negative entries in the computational basis. Many states of experimental and theoretical interest have this propert...
متن کاملMultipartite generalisation of the Schmidt decomposition
We find a canonical form for pure states of a general multipartite system, in which the constraints on the coordinates (with respect to a factorisable orthonormal basis) are simply that certain ones vanish and certain others are real. For identical particles they are invariant under permutations of the particles. As an application, we find the dimension of the generic local equivalence class.
متن کاملGraph-associated entanglement cost of a multipartite state in exact and finite-block-length approximate constructions
We introduce and analyze graph-associated entanglement cost, a generalization of the entanglement cost of quantum states to multipartite settings. We identify a necessary and sufficient condition for any multipartite entangled state to be constructible when quantum communication between the multiple parties is restricted to a quantum network represented by a tree. The condition for exact state ...
متن کامل