Uncertainty inequalities as entanglement criteria for negative partial-transpose States. Academic Article uri icon


  • In this Letter, we show that the fulfillment of uncertainty relations is a sufficient criterion for a quantum-mechanically permissible state. We specifically construct two pseudospin observables for an arbitrary nonpositive Hermitian matrix whose uncertainty relation is violated. This method enables us to systematically derive separability conditions for all negative partial-transpose states in experimentally accessible forms. In particular, generalized entanglement criteria are derived from the Schrdinger-Robertson inequalities for bipartite continuous-variable states.

published proceedings

  • Phys Rev Lett

author list (cited authors)

  • Nha, H., & Zubairy, M. S.

citation count

  • 54

complete list of authors

  • Nha, Hyunchul||Zubairy, M Suhail

publication date

  • September 2008