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Nonadditive generalization of the quantum Kullback-Leibler divergence for measuring the degree of purification

Nonadditive generalization of the quantum Kullback-Leibler divergence for measuring the degree of purification

The Kullback-Leibler divergence offers an information-theoretic basis for measuring the difference between two given distributions. Its quantum analog, however, fails to play a corresponding role for comparing two density matrices, if the reference states are pure states. Here it is shown that nonadditive quantum information theory inspired by nonextensive statistical …