Comment on "Convergence of macrostates under reproducible processes" [Phys. Lett. A 374: 3715-3717 (2010)]
Lin Zhang, Junde Wu, and Shao-Ming Fei
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Submission date: 07. Aug. 2013
published in: Physics Letters / A, 377 (2013) 31/33, p. 1794-1796
DOI number (of the published article): 10.1016/j.physleta.2013.05.047
with the following different title: Comment on 'Convergence of macrostates under reproducible processes' [Phys. Lett. A 374 (2010) 3715]
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In this paper, two counterexamples show that the superadditivity inequality of relative entropy is not true even for the full-ranked quantum states. Thus, an inequality of quantum channels and complementary channels is not also true. Finally, a conjecture of weak superadditivity inequality is presented.