Non-Gaussianity and entropy-bounded uncertainty relations: Application to detection of non-Gaussian entangled states Academic Article uri icon


  • 2018 American Physical Society. We suggest an improved version of the Robertson-Schrdinger uncertainty relation for canonically conjugate variables by taking into account a pair of characteristics of states: non-Gaussianity and mixedness quantified by using fidelity and entropy, respectively. This relation is saturated by both Gaussian and Fock states and provides a strictly improved bound for any non-Gaussian states or mixed states. For the case of Gaussian states, it is reduced to the entropy-bounded uncertainty relation derived by Dodonov. Furthermore, we consider readily computable measures of both characteristics and find a weaker but more readily accessible bound. With its generalization to the case of two-mode states, we show applicability of the relation to detect entanglement of non-Gaussian states.

published proceedings


altmetric score

  • 0.75

author list (cited authors)

  • Baek, K., & Nha, H.

citation count

  • 11

complete list of authors

  • Baek, Kyunghyun||Nha, Hyunchul

publication date

  • October 2018