  Quantifying entanglement is a work in progress which is important for the
active field of quantum information and computation. A measure of bipartite
pure state entanglement is proposed here, named entanglement coherence, which
is essentially the normalized coherence of the entangled state in its Schmidt
basis. Its value is 1 for maximally entangled states, and 0 for separable
states, irrespective of the dimensionality of the Hilbert space. So a maximally
entangled state is also the one which is maximally coherent in its Schmidt
basis. Quantum entanglement and quantum coherence are thus intimately
connected. Entanglement coherence turns out to be closely related to the
unified entropy of the reduced state of one of the subsystems. Additionally it
is shown that the entanglement coherence is closely connected to the
Wigner-Yanase skew information of the reduced density operator of one of the
subsystems, in an interesting way.
