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The last two decades have witnessed significant progress on the understandingthe quantum correlation more general than entanglement, wherein even aseparable state may yield correlation that cannot be emulated by any classicalobject. Such a general nonclassical correlation is not only intriguing from thefundamental point of view, but it has also been recognized as a resource in avariety of quantum information processing tasks and quantum technology. Here,we propose a characterization of the general quantum correlation in bipartitesystem in terms of direct laboratory operations using weak measurement withpostselection. We define a quantity based on the imaginary part of weak valuesobtained via weak measurement of a local basis followed by a postselection ofanother local basis, and an optimization procedure over all possible choices ofthe two bases. We show that it satisfies certain desirable requirements for aquantifier of general quantum correlations. It may be statistically interpretedas the minimum genuine quantum share of uncertainty. It is a faithful witnessof entanglement for general pure states, giving an observable lower bound to ascaled square root of the linear entropy of entanglement. We then suggest aninformation theoretic interpretation of the general quantum correlation in amultipartite state as the minimum mean absolute error in an optimal estimationof any local measurement basis, based on the outcomes of local projectivemeasurement on the state, in the worst case scenario.

Operational characterization of general quantum correlation via complex weak value measurement