Multiparticle entanglement under asymptotic positive-partial-transpose-preserving operations
- Fundamental and Environmental Research Laboratories, NEC Corporation, 34 Miyukigaoka, Tsukuba, 305-8501 (Japan)
- QOLS, Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2BW (United Kingdom)
We demonstrate that even under positive-partial-transpose-preserving operations in an asymptotic setting Greenberger-Horne-Zeilinger (GHZ) and W states are not reversibly interconvertible. We investigate the structure of minimal reversible entanglement generating set (MREGS) for tripartite states under positive-partial-transpose- (PPT-) preserving operations. We demonstrate that the set consisting of W and Einstein-Podolsky-Rosen (EPR) states alone cannot be an MREGS. In this context we prove the surprising result that the relative entropy of entanglement can be strictly subadditive for certain pure tripartite 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.
- OSTI ID:
- 20718718
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 72; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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