Inseparability criterion using higher-order Schrödinger–Robertson uncertainty relation Academic Article uri icon


  • 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.

published proceedings

  • Journal of the Optical Society of America B

altmetric score

  • 0.25

author list (cited authors)

  • Lee, C., Ryu, J., Bang, J., & Nha, H

citation count

  • 3

complete list of authors

  • Lee, Chang-Woo||Ryu, Junghee||Bang, Jeongho||Nha, Hyunchul

publication date

  • March 2014