Partial recovery of entanglement in bipartite entanglement transformations

Abstract

Any deterministic bipartite entanglement transformation involving finite copies of pure states and carried out using local operations and classical communication (LOCC) results in a net loss of entanglement. We show that for almost all such transformations, partial recovery of lost entanglement is achievable by using $2\times 2$ auxiliary entangled states, no matter how large the dimensions of the parent states are. For the rest of the special cases of deterministic LOCC transformations, we show that the dimension of the auxiliary entangled state depends on the presence of equalities in the majorization relations of the parent states. We show that genuine recovery is still possible using auxiliary states in dimensions less than that of the parent states for all patterns of majorization relations except only one special case.

Significantly revised version; proofs have been completely rewritten to make them more accessible. To appear in Physical Review A [Rapid Communications]

Cited by in corpus (6)

• Supercatalysis
• Protecting quantum correlations in presence of generalised amplitude damping channel: the two-qubit case
• Character of Locally Inequivalent Classes of States and Entropy of Entanglement
• Entanglement fluctuation theorems
• Entanglement - A Queer In The World Of Quantum : Some Perspectives
• Partial Recovery of Quantum Entanglement