Concurrence of Arbitrary Dimensional Bipartite Quantum States
Top Cited Papers
- 22 July 2005
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 95 (4), 040504
- https://doi.org/10.1103/physrevlett.95.040504
Abstract
We derive an analytical lower bound for the concurrence of a bipartite quantum state in arbitrary dimension. A functional relation is established relating concurrence, the Peres-Horodecki criterion, and the realignment criterion. We demonstrate that our bound is exact for some mixed quantum states. The significance of our method is illustrated by giving a quantitative evaluation of entanglement for many bound entangled states, some of which fail to be identified by the usual concurrence estimation method.Other Versions
This publication has 35 references indexed in Scilit:
- Test for entanglement using physically observable witness operators and positive mapsPhysical Review A, 2004
- Generalized reduction criterion for separability of quantum statesPhysical Review A, 2003
- Lower bound on entanglement of formation for the qubit-qudit systemPhysical Review A, 2003
- Some properties of the computable cross-norm criterion for separabilityPhysical Review A, 2003
- Reflections upon separability and distillabilityJournal of Modern Optics, 2002
- Distinguishing Separable and Entangled StatesPhysical Review Letters, 2002
- Computable measure of entanglementPhysical Review A, 2002
- A comparison of the entanglement measures negativity and concurrenceJournal of Physics A: General Physics, 2001
- Reduction criterion of separability and limits for a class of distillation protocolsPhysical Review A, 1999
- A comparison of entanglement measuresJournal of Modern Optics, 1999