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

Generation and distillation of non-Gaussian entanglement from nonclassical photon statistics 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

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

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Publisher
Springer US
Copyright
Copyright © 2011 by Springer Science+Business Media, LLC
Subject
Physics; Theoretical, Mathematical and Computational Physics; Mathematics, general; Quantum Physics; Physics, general; Computer Science, general
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-011-0316-0
Publisher site
See Article on Publisher Site

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.

Journal

Quantum Information ProcessingSpringer Journals

Published: Oct 19, 2011

References

  • Quantum information with Gaussian states
    Wang, X.-B.; Hiroshima, T.; Tomita, A.; Hayashi, M.

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