A simple proof of the strong subadditivity inequality

Physics – Quantum Physics

Scientific paper

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7 pages, resubmitted version of a tutorial paper submitted to Quantum Information and Computation

Scientific paper

Arguably the deepest fact known about the von Neumann entropy, the strong
subadditivity inequality is a potent hammer in the quantum information
theorist's toolkit. This short tutorial describes a simple proof of strong
subadditivity due to Petz [Rep. on Math. Phys. 23 (1), 57--65 (1986)]. It
assumes only knowledge of elementary linear algebra and quantum mechanics.

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