The information entropy of quantum-mechanical states

A. Stotland, A. A. Pomeransky, E. Bachmat, D. Cohen

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


It is well known that a Shannon-based definition of information entropy leads in the classical case to the Boltzmann entropy. It is tempting to regard the von Neumann entropy as the corresponding quantum-mechanical definition. But the latter is problematic from the quantum information point of view. Consequently, we introduce a new definition of entropy that reflects the inherent uncertainty of quantum-mechanical states. We derive for it an explicit expression, and discuss some of its general properties. We distinguish between the minimum uncertainty entropy of pure states, and the excess statistical entropy of mixtures.

Original languageEnglish
Pages (from-to)700-706
Number of pages7
Issue number5
StatePublished - 1 Sep 2004

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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