Inseparability criteria for continuous and discrete bipartite quantum states based on moments of annihilationand creation operators are studied by developing the idea of Shchukin-Vogel criterion Phys. Rev. Lett. 95,230502 2005. If a state is separable, then the corresponding matrix of moments is separable too. Thus, wederive generalized criteria based on the separability properties of the matrix of moments. In particular, acriterion based on realignment of moments in the matrix is proposed as an analog of the standard realignmentcriterion for density matrices. Other inseparability inequalities are obtained by applying positive maps to thematrix of moments. Usefulness of the Shchukin-Vogel criterion to describe bipartite-entanglement of more thantwo modes is demonstrated: we obtain various three-mode inseparability criteria, including some previouslyknown ones, which were originally derived from the Cauchy-Schwarz inequality.
Authors
- Adam Miranowicz,
- Marco Piani,
- prof. dr hab. Paweł Horodecki link open in new tab ,
- Ryszard Horodecki link open in new tab
Additional information
- Category
- Publikacja w czasopiśmie
- Type
- artykuł w czasopiśmie wyróżnionym w JCR
- Language
- angielski
- Publication year
- 2009
