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MiS Preprint

The Saturation of Several Universal Inequalities in Information-Processing

Lin Zhang, Junde Wu and Shao-Ming Fei


Strong subadditivity inequality of quantum entropy, proved by Lieb and Ruskai, is a powerful tool in quantum information theory. The fact that the strong subadditivity inequality saturated only by so-called Markov states is obtained in the recent literature [P. Hayden et al., Commun. Math. Phys. 246, 359 (2004).].

In this paper, we give a characterization of another equivalent version for strong subadditivity inequality. We discuss the coherent information saturating its upper bound as well. A necessary and sufficient condition for this saturation is derived. The possible applications are discussed.

Aug 12, 2015
Aug 14, 2015

Related publications

2015 Repository Open Access
Lin Zhang, Junde Wu and Shao-Ming Fei

The saturation of several universal inequalities in information-processing

In: Communications in theoretical physics, 63 (2015) 4, pp. 427-430