Generation and distillation of non-Gaussian entanglement from nonclassical photon statistics |
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Authors: | J Solomon Ivan N Mukunda R Simon |
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Affiliation: | 1.Raman Research Institute,Bangalore,India;2.Optics and Quantum Information Group,The Institute of Mathematical Sciences,Chennai,India |
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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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