The relative entanglement of Schmidt correlated states and distillation

The 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...

Entanglement of Multipartite Schmidt-correlated States Entanglement of Multipartite Schmidt-correlated States

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.

Entanglement distillation : a discourse on bound entanglement in quantum information theory

In recent years entanglement has been recognised as a useful resource in quantum information and computation. This applies primarily to pure state entanglement which is, due to interaction with the environment, rarely available. Decoherence provides the main motivation for the study of entanglement distillation. A remarkable effect in the context of distillation is the existence of bound entang...

Secure key from bound entanglement.

We characterize the set of shared quantum states which contain a cryptographically private key. This allows us to recast the theory of privacy as a paradigm closely related to that used in entanglement manipulation. It is shown that one can distill an arbitrarily secure key from bound entangled states. There are also states that have less distillable private keys than the entanglement cost of t...

Correlated entanglement distillation and the structure of the set of undistillable states