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Generation and distillation of non-Gaussian entanglement from nonclassical photon statistics

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Abstract

With a product state of the form \({{\rho}_{\rm in} = {\rho}_{a} \otimes |0 \rangle_b {_b} \langle 0|}\) as input to a beam splitter, the output two-mode state ρ out is shown to be negative under partial transpose (NPT) whenever the photon number distribution (PND) statistics { p(n a ) } associated with the possibly mixed state ρ a of the input a-mode is antibunched or otherwise nonclassical, i.e., whenever { p(n a ) } fails to respect any one of an infinite sequence of necessary and sufficient classicality conditions. Negativity under partial transpose turns out to be a necessary and sufficient test for entanglement of ρ out which is generically non-Gaussian. The output of a PND distribution is further shown to be distillable if any one of an infinite sequence of three term classicality conditions is violated.

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Authors and Affiliations

  1. Raman Research Institute, C. V. Raman Avenue, Sadashivanagar, Bangalore, 560 080, India

    J. Solomon Ivan

  2. Optics and Quantum Information Group, The Institute of Mathematical Sciences, Tharamani, Chennai, 600 113, India

    N. Mukunda & R. Simon

Authors
  1. J. Solomon Ivan
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  2. N. Mukunda
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  3. R. Simon
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Correspondence to R. Simon.

Additional information

Some of the principal results of the present work have been around for a few years in preprint form [quant-ph/0603255], and have influenced a good number of authors.

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Ivan, J.S., Mukunda, N. & Simon, R. Generation and distillation of non-Gaussian entanglement from nonclassical photon statistics. Quantum Inf Process 11, 873–885 (2012). https://doi.org/10.1007/s11128-011-0316-0

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