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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Grover Swartzlander
  • Vol. 31, Iss. 4 — Apr. 1, 2014
  • pp: 656–663

Inseparability criterion using higher-order Schrödinger–Robertson uncertainty relation

Chang-Woo Lee, Junghee Ryu, Jeongho Bang, and Hyunchul Nha  »View Author Affiliations

JOSA B, Vol. 31, Issue 4, pp. 656-663 (2014)

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We formulate an inseparability criterion based on the recently derived generalized Schrödinger–Robertson uncertainty relation (SRUR) [J. Phys. A 45, 195305 (2012)] together with the negativity of partial transpose (PT). This generalized SRUR systematically deals with two orthogonal quadrature amplitudes to higher orders, so it is relevant to characterize non-Gaussian quantum statistics. We first present a method that relies on the single-mode marginal distribution of two-mode fields under PT followed by beam-splitting operation. We then extend the SRUR to two-mode cases and develop a full two-mode version of the inseparability criterion. We find that our formulation can be useful to detect entanglement of non-Gaussian states even when, e.g., the entropic criterion that also involves higher-order moments fails.

© 2014 Optical Society of America

OCIS Codes
(000.2658) General : Fundamental tests
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Quantum Optics

Original Manuscript: December 5, 2013
Manuscript Accepted: January 20, 2014
Published: March 3, 2014

Chang-Woo Lee, Junghee Ryu, Jeongho Bang, and Hyunchul Nha, "Inseparability criterion using higher-order Schrödinger–Robertson uncertainty relation," J. Opt. Soc. Am. B 31, 656-663 (2014)

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