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arXiv · 1210.4720

Comment on "Convergence of macrostates under reproducible processes" [Phys. Lett. A 374: 3715-3717 (2010)]

Lin Zhang·Junde Wu·Shao-Ming Fei
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Abstract

In this Letter, 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.

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Lin Zhang, Junde Wu, Shao-Ming Fei. 2012-10-17. Comment on "Convergence of macrostates under reproducible processes" [Phys. Lett. A 374: 3715-3717 (2010)]. https://doi.org/10.1016/j.physleta.2013.05.047

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