Abstract
We propose an entanglement measure for two quNits based on the covariances of a set of generators of the $\mathrm{su}(N)$ algebra. In particular, we represent this measure in terms of the mutually unbiased projectors for $N$ prime. For pure states this measure quantifies entanglement, we obtain an explicit expression which relates it to the concurrence hierarchy, specifically the $I$-concurrence and the three-concurrence. For mixed states we propose a separability criterion.
Keywords
ConcurrenceQuantum entanglementMeasure (data warehouse)PhysicsBipartite graphSquashed entanglementCovarianceStatistical physicsSet (abstract data type)Quantum mechanicsDiscrete mathematicsStatisticsMathematicsComputer scienceQuantumData mining
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Publication Info
- Year
- 2007
- Type
- article
- Volume
- 75
- Issue
- 6
- Citations
- 15
- Access
- Closed
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Cite This
Isabel Sainz Abascal,
Gunnar Björk
(2007).
Bipartite entanglement measure based on covariance.
Physical Review A
, 75
(6)
.
https://doi.org/10.1103/physreva.75.062317
Identifiers
- DOI
- 10.1103/physreva.75.062317