Lower bounds on concurrence and separability conditions
- 17 May 2007
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 75 (5), 052320
- https://doi.org/10.1103/physreva.75.052320
Abstract
We obtain analytical lower bounds on the concurrence of bipartite quantum systems in arbitrary dimensions related to the violation of separability conditions based on local uncertainty relations and on the Bloch representation of density matrices. We also illustrate how these results complement and improve those recently derived [Chen, Albeverio, and Fei, Phys. Rev. Lett. 95, 040504 (2005)] by considering the Peres-Horodecki and the computable cross-norm or realignment criteria.Keywords
Other Versions
This publication has 32 references indexed in Scilit:
- Entanglement quantification through local observable correlationsPhysical Review A, 2007
- Separability criteria and bounds for entanglement measuresJournal of Physics A: General Physics, 2006
- Local uncertainty relations serving as measures of entanglement in a bipartite two-level systemPhysical Review A, 2006
- Entanglement of Formation of Bipartite Quantum StatesPhysical Review Letters, 2005
- Concurrence of Arbitrary Dimensional Bipartite Quantum StatesPhysical Review Letters, 2005
- Exploring the optimal sensitivity of sum-variance nonseparability criteria for spin-1∕2systemsPhysical Review A, 2004
- Entropic uncertainty relations and entanglementPhysical Review A, 2004
- Computable measure of entanglementPhysical Review A, 2002
- Optimization of entanglement witnessesPhysical Review A, 2000
- Reduction criterion of separability and limits for a class of distillation protocolsPhysical Review A, 1999