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Foundations of Physics

, Volume 32, Issue 9, pp 1399–1417 | Cite as

The Nature of Information in Quantum Mechanics

  • Rocco Duvenhage
Article

Abstract

A suitable unified statistical formulation of quantum and classical mechanics in a *-algebraic setting leads us to conclude that information itself is noncommutative in quantum mechanics. Specifically we refer here to an observer's information regarding a physical system. This is seen as the main difference from classical mechanics, where an observer's information regarding a physical system obeys classical probability theory. Quantum mechanics is then viewed purely as a mathematical framework for the probabilistic description of noncommutative information, with the projection postulate being a noncommutative generalization of conditional probability. This view clarifies many problems surrounding the interpretation of quantum mechanics, particularly problems relating to the measuring process.

measurement projection postulate noncommutative conditional probability noncommutative information 

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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • Rocco Duvenhage
    • 1
  1. 1.Department of Mathematics and Applied MathematicsUniversity of PretoriaPretoriaSouth Africa

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