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Maximal Entanglement - A New Measure of Entanglement
Maximal correlation is a measure of correlation for bipartite distributions.
This measure has two intriguing features: (1) it is monotone under local
stochastic maps; (2) it gives the same number when computed on i.i.d. copies of
a pair of random variables. This measure of correlation has recently been
generalized for bipartite quantum states, for which the same properties have
been proved. In this paper, based on maximal correlation, we define a new
measure of entanglement which we call maximal entanglement. We show that this
measure of entanglement is faithful (is zero on separable states and positive
on entangled states), is monotone under local quantum operations, and gives the
same number when computed on tensor powers of a bipartite state.Comment: 8 pages, presented at IWCIT 201