| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Estadual Campinas, Inst Fis Gleb Wataghin, BR-13083859 Sao Paulo - Brazil
[2] Univ Fed Sao Carlos, Dept Fis, CCET, BR-13565905 Sao Paulo - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | Physical Review A; v. 88, n. 5 NOV 20 2013. |
| Web of Science Citations: | 1 |
| Abstract | |
The relation between the symplectic and Lorentz groups is explored to investigate entanglement features in a two-mode bipartite Gaussian state. We verify that the correlation matrix of arbitrary Gaussian states can be associated with a hyperbolic space with a Minkowski metric, which is divided in two regions: separabilitylike and entanglementlike, in equivalence to timelike and spacelike in special relativity. This correspondence naturally allows the definition of two insightful invariant squared distance measures: one related to the purity and another related to amount of entanglement. The second distance allows us to define a measure for entanglement in terms of the invariant interval between the given state and its closest separable state, given in a natural manner without the requirement of a minimization procedure. (AU) | |
| FAPESP's process: | 09/16369-8 - Quantum Information in Phase Space |
| Grantee: | Fernando Antonio Nazareth Nicacio |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |