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Finite Quantum Measure Spaces

Stan Gudder
The American Mathematical Monthly
Vol. 117, No. 6 (June-July 2010), pp. 512-527
DOI: 10.4169/000298910x492808
Stable URL: http://www.jstor.org/stable/10.4169/000298910x492808
Page Count: 16
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Finite Quantum Measure Spaces
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Abstract

Abstract Quantum measure spaces possess a certain “quantum weirdness” and lack some of the simplicity and intuitive nature of their classical counterparts. Much of this unusual behavior is due to a phenomenon called quantum interference, which is a recurrent theme in the present article. Because of this interference, quantum measures need not be additive but satisfy a more general condition called grade-2 additivity. Examples of quantum measure spaces such as “quantum coins” and particle-an tip article pairs are considered. Even more general spaces called super-quantum measure spaces are discussed. You don't need quantum mechanics or measure theory to understand this article.

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