A Note on Quantum Entropy

Frank Hansen

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Incremental information, as measured by the quantum entropy, is increasing when two ensembles are united. This result was proved by Lieb and Ruskai, and it is the foundation for the proof of strong subadditivity of quantum entropy. We present a truly elementary proof of this fact in the context of the broader family of matrix entropies introduced by Chen and Tropp.

Original languageEnglish
Article number7
JournalMathematical Physics Analysis and Geometry
Issue number2
Publication statusPublished - 2016 Jun 1


  • Concavity
  • Incremental information
  • Quantum entropy

ASJC Scopus subject areas

  • Mathematical Physics
  • Geometry and Topology


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