dorsal/arxiv
View SchemaPartial recovery of entanglement in bipartite entanglement transformations
| Authors | Somshubhro Bandyopadhyay, Vwani Roychowdhury, Farrokh Vatan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105019 |
| URL | https://arxiv.org/abs/quant-ph/0105019 |
| DOI | 10.1103/PhysRevA.65.040303 |
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.
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"abstract": "Any deterministic bipartite entanglement transformation involving finite\ncopies of pure states and carried out using local operations and classical\ncommunication (LOCC) results in a net loss of entanglement. We show that for\nalmost all such transformations, partial recovery of lost entanglement is\nachievable by using $2 \\times 2$ auxiliary entangled states, no matter how\nlarge the dimensions of the parent states are. For the rest of the special\ncases of deterministic LOCC transformations, we show that the dimension of the\nauxiliary entangled state depends on the presence of equalities in the\nmajorization relations of the parent states. We show that genuine recovery is\nstill possible using auxiliary states in dimensions less than that of the\nparent states for all patterns of majorization relations except only one\nspecial case.",
"arxiv_id": "quant-ph/0105019",
"authors": [
"Somshubhro Bandyopadhyay",
"Vwani Roychowdhury",
"Farrokh Vatan"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.040303",
"title": "Partial recovery of entanglement in bipartite entanglement transformations",
"url": "https://arxiv.org/abs/quant-ph/0105019"
},
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"source": {
"execution_id": "02180896-78cc-48e9-9c8b-4209ecddf92f",
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