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Transformations of continuous-variable entangled states of light
Ond ej ernotík1,2,3
and Jaromír Fiurášek1
1
Department of Optics, Palacký University, 17. listopadu 12, 77146 Olomouc, Czech Republic
2
Institute for Theoretical Physics, Leibniz University Hannover, Appelstraße 2, 30167 Hannover, Germany
3
Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Callinstraße 38, 30167 Hannover, Germany
Motivation
Gaussian states are interesting to both theorists and
experimentalists for the ease of their mathematical
description and simple experimental manipulation.
While they are powerful, open questions still persist.
E.g., multipartite entanglement (below, Ref. [1]) is
still mostly an unexplored issue. In addition,
Gaussian states are not universal. Some tasks, such
as entanglement concentration of Gaussian states
(right, Ref. [2]) require non-Gaussian operations in
order to succeed.
Acknowledgements
This work was supported by the Czech Science Foundation under
projects P205/12/0577, P205/12/0694 and by the Palacký
University through grants PrF-2012-019, PrF-2013-008.
Single mode subtraction
In the weak squeezing limit (considering only
vacuum and two-photon contributions), the filtered
state is , giving maximally
entangled state for zero displacement and
a balanced beam splitter.
With arbitrary squeezing, we consider a realistic
scenario with single-photon detectors with limited
detection efficiency and finite transmittance of tap-
off beam splitters. For single-mode subtraction, zero
displacement still appears to be optimal.

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Transformations of continuous-variable entangled states of light

  • 1. Transformations of continuous-variable entangled states of light Ond ej ernotík1,2,3 and Jaromír Fiurášek1 1 Department of Optics, Palacký University, 17. listopadu 12, 77146 Olomouc, Czech Republic 2 Institute for Theoretical Physics, Leibniz University Hannover, Appelstraße 2, 30167 Hannover, Germany 3 Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Callinstraße 38, 30167 Hannover, Germany Motivation Gaussian states are interesting to both theorists and experimentalists for the ease of their mathematical description and simple experimental manipulation. While they are powerful, open questions still persist. E.g., multipartite entanglement (below, Ref. [1]) is still mostly an unexplored issue. In addition, Gaussian states are not universal. Some tasks, such as entanglement concentration of Gaussian states (right, Ref. [2]) require non-Gaussian operations in order to succeed. Acknowledgements This work was supported by the Czech Science Foundation under projects P205/12/0577, P205/12/0694 and by the Palacký University through grants PrF-2012-019, PrF-2013-008. Single mode subtraction In the weak squeezing limit (considering only vacuum and two-photon contributions), the filtered state is , giving maximally entangled state for zero displacement and a balanced beam splitter. With arbitrary squeezing, we consider a realistic scenario with single-photon detectors with limited detection efficiency and finite transmittance of tap- off beam splitters. For single-mode subtraction, zero displacement still appears to be optimal.