Bipartite bound entanglement in continuous variables through deGaussification

Abstract

We introduce a class of bipartite entangled continuous variable states that are positive under partial transposition operation, i.e., PPT bound entangled. These states are based on realistic preparation procedures in optical systems, being thus a feasible option to generate and observe genuinely bipartite bound entanglement in high precision experiments. One fundamental step in our scheme is to perform a non-Gaussian operation over a single-mode Gaussian state; this deGaussification procedure is achieved through a modified single-photon addition, which is a procedure that has currently being investigated in diverse optical setups. Although dependent on a single-photon detection in a idler channel, the preparation can be made unconditional after a calibration of the apparatus. The detection and proof of bound entanglement is made by means of the Range Criterion, theory of Hankel operators and Gerschgorin Disk s perturbation theorems.

8 pages, 1 figure

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Cited by in corpus (5)

• Preparation of bipartite bound entangled Gaussian states in quantum optics
• Experimental Detection of Qubit-Ququart Pseudo-Bound Entanglement using Three Nuclear Spins
• Numerical detection of Gaussian entanglement and its application to the identification of bound entangled Gaussian states
• Multipartite States under Elementary Local Operations
• Multipartite entanglement classes of a multiport beam-splitter