Bipartite entanglement measure based on covariance

• We propose an entanglement measure for two quNits based on the covariances of a set of generators of the 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.

Nyckelord

mutually unbiased bases

state determination

separability

criterion

matrices

concurrence

dimensions

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