Journal of Mathematical Physics

Algebraic complementarity in quantum theory

Dėnes Petz

Published Jan 1, 2010• 17 citations

Abstract

This paper is an overview of the concept of complementarity, the relation to state estimation, to Connes–Størmer conditional (or relative) entropy, and to uncertainty relation. Complementary Abelian and noncommutative subalgebras are analyzed. All the known results about complementary decompositions are described and several open questions are included. The paper contains only few proofs, typically references are given.

DOI: 10.1063/1.3276681

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