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MiS Preprint
38/2015

The Saturation of Several Universal Inequalities in Information-Processing

Lin Zhang, Junde Wu and Shao-Ming Fei

Abstract

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.

Received:
Aug 12, 2015
Published:
Aug 14, 2015

Related publications

inJournal
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