A note on generalized concurrences and entanglement detection
arXiv:0804.3620
Abstract
We study generalized concurrences as a tool to detect the entanglement of bipartite quantum systems. By considering the case of 2 X 4 states of rank 2, we prove that generalized concurrences do not, in general, give a necessary and sufficient condition of separability. We identify a set of entangled states which are undetected by this method.
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References in corpus (8)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Separability Criterion for Density Matrices
- Entanglement of a Pair of Quantum Bits
- Fidelity and Concurrence of conjugated states
- Separability in 2xN composite quantum systems
- Operational criterion and constructive checks for the separability of low rank density matrices
- Entanglement correlations, Bell inequalities, and the concurrence