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A simpler approach to the characterization of vanishing conditional mutual information is presented.
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P. Hayden, R. Jozsa, D. Petz, A. Winter, Structure of states which satisfy strong subadditivity of quantum entropy with equality, Commun. Math. Phys. 246
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I. Kim, Operator extension of strong subadditivity of entropy, J. Math. Phys. 53
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F. Brandão, M. Christandl, J. Yard, Faithful squashed entanglement, Commun. Math. Phys. 306
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