Superadditivity of distillable entanglement From Quantum Teleportation
arXiv:quant-ph/0611081 · doi:10.1103/PhysRevA.72.060303
Abstract
We show that the phenomenon of superadditivity of distillable entanglement observed in multipartite quantum systems results from the consideration of states created during the execution of the standard end-to-end quantum teleportation protocol (and a few additional local operations and classical communication (LOCC) steps) on a linear chain of singlets. Some of these intermediate states are tensor products of bound-entangled (BE) states, and hence, by construction possess distillable entanglement, which can be unlocked by simply completing the rest of the LOCC operations required by the underlying teleportation protocol. We use this systematic approach to construct both new and known examples of superactivation of bound entanglement, and first examples of activation of BE states using other BE states. A surprising outcome is the construction of noiseless quantum relay channels with no distillable entanglement between any two parties, except for that between the two end nodes.
4 pages, 4 figures
References in corpus (8)
- Concentrating Partial Entanglement by Local Operations
- Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
- Separability criterion and inseparable mixed states with positive partial transposition
- Unextendible Product Bases and Bound Entanglement
- A four-party unlockable bound-entangled state
- Activating bound entanglement in multi-particle systems
- Bell-Correlated Activable Bound Entanglement in Multiqubit Systems
- Exact Entanglement Cost of Multi-Qubit Bound Entangled States
Cited by in corpus (4)
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- Preparation of bipartite bound entangled Gaussian states in quantum optics