Entanglement monotones for W-type states

Entanglement monotones for W-type states. Chitambar, E., Cui, W., & Lo, H., K. Physical Review A - Atomic, Molecular, and Optical Physics, 85(6):1-10, 2012.

Paper doi abstract bibtex

In this article, we extend recent results concerning random-pair Einstein-Podolsky-Rosen distillation and the operational gap between separable operations (SEPs) and local operations with classical communication (LOCC). In particular, we consider the problem of obtaining bipartite maximal entanglement from an N-qubit W-class state (i.e., that of the form √x 0|000+√x 1|100++√x n|00) when the target pairs are a priori unspecified. We show that when x 0=0, the optimal probabilities for SEPs can be computed using semidefinite programming. On the other hand, to bound the optimal probabilities achievable by LOCC, we introduce entanglement monotones defined on the N-qubit W class of states. The LOCC monotones we construct can be increased by SEPs, and in terms of transformation success probability, we are able to quantify a gap as large as 37% between the two classes. Additionally, we demonstrate transformations ρ -n→σ -n that are feasible by SEP for any n but impossible by LOCC. © 2012 American Physical Society.

@article{
 title = {Entanglement monotones for W-type states},
 type = {article},
 year = {2012},
 pages = {1-10},
 volume = {85},
 id = {03ef453b-9b7e-3f35-955d-7df642d79624},
 created = {2019-12-02T15:18:42.201Z},
 file_attached = {true},
 profile_id = {5ed10b2c-e6b8-3ad8-bec0-45bb1010ca06},
 last_modified = {2019-12-02T15:19:01.830Z},
 read = {false},
 starred = {false},
 authored = {true},
 confirmed = {true},
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 abstract = {In this article, we extend recent results concerning random-pair Einstein-Podolsky-Rosen distillation and the operational gap between separable operations (SEPs) and local operations with classical communication (LOCC). In particular, we consider the problem of obtaining bipartite maximal entanglement from an N-qubit W-class state (i.e., that of the form √x 0|000+√x 1|100++√x n|00) when the target pairs are a priori unspecified. We show that when x 0=0, the optimal probabilities for SEPs can be computed using semidefinite programming. On the other hand, to bound the optimal probabilities achievable by LOCC, we introduce entanglement monotones defined on the N-qubit W class of states. The LOCC monotones we construct can be increased by SEPs, and in terms of transformation success probability, we are able to quantify a gap as large as 37% between the two classes. Additionally, we demonstrate transformations ρ -n→σ -n that are feasible by SEP for any n but impossible by LOCC. © 2012 American Physical Society.},
 bibtype = {article},
 author = {Chitambar, Eric and Cui, Wei and Lo, Hoi Kwong},
 doi = {10.1103/PhysRevA.85.062316},
 journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
 number = {6}
}

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