A simple proof of the strong subadditivity inequality

  • Authors:
  • Michael A. Nielsen;Dénes Petz

  • Affiliations:
  • School of Physical Sciences, The University of Queensland, Brisbane, Queensland, Australia;Department of Mathematical Analysis, Budapest University of Technology and Economics, Budapest XI, Hungary

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2005

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Abstract

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.