Sharp and Unsharp Quantum Effects

Author: Gudder S.

Source: Advances in Applied Mathematics, Volume 20, Number 2, February 1998 , pp. 169-187(19)

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Abstract:

A survey of the algebraic and the statistical properties of sharp and unsharp quantum effects is presented. We begin with a discussion and a comparison of four types of probability theories, the sharp and unsharp classical and quantum theories. A structure called an effect algebra that generalizes and unifies all four of these probability theories, is then considered. Finally, we present some recent investigations on tensor products and quotients of effect algebras. Examples and representative results for the various theories are discussed. Copyright 1998 Academic Press.

Language: English

Document Type: Research article

Affiliations: Department of Mathematics and Computer Science, University of Denver, Denver, Colorado, 80208

Publication date: 1998-02-01