Extended Quantum Conditional Entropy and Quantum Uncertainty Inequalities

Rupert L. Frank, Elliott H. Lieb

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


Quantum states can be subjected to classical measurements, whose incompatibility, or uncertainty, can be quantified by a comparison of certain entropies. There is a long history of such entropy inequalities between position and momentum. Recently these inequalities have been generalized to the tensor product of several Hilbert spaces and we show here how their derivations can be shortened to a few lines and how they can be generalized. Our proofs utilize the technique of the original derivation of strong subadditivity of the von Neumann entropy.

Original languageEnglish (US)
Pages (from-to)487-495
Number of pages9
JournalCommunications In Mathematical Physics
Issue number2
StatePublished - Oct 2013

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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