Concurrence and negativity as distances

D. Mundarain, J. Stephany

Published 2007-12-06Version 2

In this report we consider the three dimensional subset of the space of states of two qubits that may be written in the so called standard form. For those states we show that different measures of entanglement, specifically concurrence, negativity and the Hilbert-Schmidt distance are proportional to the euclidean distance between the point representing the state in the three dimensional parameter space and the set of separable states.