Distillability via Protocols Respecting the Positivity of Partial Transpose
- 28 November 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 87 (25) , 257902
- https://doi.org/10.1103/physrevlett.87.257902
Abstract
We show that all quantum states that do not have a positive partial transpose are distillable via channels, which preserve the positivity of the partial transpose. The question whether bound entangled states with nonpositive partial transpose exist is therefore closely related to the connection between the set of separable superoperators and positive partial transpose-preserving maps.Keywords
All Related Versions
This publication has 10 references indexed in Scilit:
- Entanglement measures under symmetryPhysical Review A, 2001
- Nonadditivity of Bipartite Distillable Entanglement Follows from a Conjecture on Bound Entangled Werner StatesPhysical Review Letters, 2001
- Entangling Operations and Their Implementation Using a Small Amount of EntanglementPhysical Review Letters, 2001
- Evidence for bound entangled states with negative partial transposePhysical Review A, 2000
- Distillability and partial transposition in bipartite systemsPhysical Review A, 2000
- Separability of Very Noisy Mixed States and Implications for NMR Quantum ComputingPhysical Review Letters, 1999
- Reduction criterion of separability and limits for a class of distillation protocolsPhysical Review A, 1999
- Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature?Physical Review Letters, 1998
- Bell's Inequalities and Density Matrices: Revealing “Hidden” NonlocalityPhysical Review Letters, 1995
- Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable modelPhysical Review A, 1989