Partial recovery of entanglement in bipartite entanglement transformations

Details Partial recovery of entanglement in bipartite entanglement transformations Partial recovery of entanglement in bipartite entanglement transformations

2001-05-06

arxiv.org/abs/quant-ph/0105019v5

Physics

Quantum Physics

Significantly revised version; proofs have been completely rewritten to make them more accessible. To appear in Physical Revie

Scientific paper

10.1103/PhysRevA.65.040303

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.

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