Bound entanglement and continuous variables

Abstract

We introduce the definition of generic bound entanglement for the case of continuous variables. We provide some examples of bound entangled states for that case, and discuss their physical sense in the context of quantum optics. We rise the question of whether the entanglement of these states is generic. As a byproduct we obtain a new many parameter family of bound entangled states with positive partial transpose. We also point out that the ``entanglement witnesses'' and positive maps revealing the corresponding bound entanglement can be easily constructed.

4 pages, RevTeX, improved and corrected version accepted for publication in Phys. Rev. Lett., typo in Ref. [18] corrected

References in corpus (5)

• Experimental quantum teleportation
• Peres-Horodecki separability criterion for continuous variable systems
• Inseparability criterion for continuous variable systems
• A Schmidt number for density matrices
• Construction of quantum states with bound entanglement

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