dorsal/arxiv
View SchemaMulti-particle entanglement under asymptotic positive partial transpose preserving operations
| Authors | S. Ishizaka, M. B. Plenio |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503025 |
| URL | https://arxiv.org/abs/quant-ph/0503025 |
| DOI | 10.1103/PhysRevA.72.059907 |
| Journal | Phys. Rev. A 72, 042325 (2005) |
Abstract
We demonstrate that even under positive partial transpose preserving operations in an asymptotic setting GHZ and W states are not reversibly interconvertible. We investigate the structure of minimal reversible entanglement generating set (MREGS) for tri-partite states under positive partial transpose (ppt) preserving operations. We demonstrate that the set consisting of W and EPR states alone cannot be an MREGS. In this context we prove the surprising result that the relative entropy of entanglement can be strictly sub-additive for certain pure tri-partite states which is crucial to keep open the possibility that the set of GHZ-state and EPR states together constitute an MREGS under ppt-preserving operations.
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"abstract": "We demonstrate that even under positive partial transpose preserving\noperations in an asymptotic setting GHZ and W states are not reversibly\ninterconvertible. We investigate the structure of minimal reversible\nentanglement generating set (MREGS) for tri-partite states under positive\npartial transpose (ppt) preserving operations. We demonstrate that the set\nconsisting of W and EPR states alone cannot be an MREGS. In this context we\nprove the surprising result that the relative entropy of entanglement can be\nstrictly sub-additive for certain pure tri-partite states which is crucial to\nkeep open the possibility that the set of GHZ-state and EPR states together\nconstitute an MREGS under ppt-preserving operations.",
"arxiv_id": "quant-ph/0503025",
"authors": [
"S. Ishizaka",
"M. B. Plenio"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.059907",
"journal_ref": "Phys. Rev. A 72, 042325 (2005)",
"title": "Multi-particle entanglement under asymptotic positive partial transpose preserving operations",
"url": "https://arxiv.org/abs/quant-ph/0503025"
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