1. bookVolume 12 (2012): Issue 6 (December 2012)
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1335-8871
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07 Mar 2008
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6 times per year
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English
access type Open Access

Algebraic Frameworks for Measurement in the Natural Sciences

Published Online: 15 Dec 2012
Volume & Issue: Volume 12 (2012) - Issue 6 (December 2012)
Page range: 213 - 233
Journal Details
License
Format
Journal
eISSN
1335-8871
First Published
07 Mar 2008
Publication timeframe
6 times per year
Languages
English

The goals of this paper fall into three related areas: (i) we present an overview of a universal algebraic paradigm in which measurement specialists can construct formal models of measurement in a unified manner and systematically reason about a large class classical measurement operations, (ii) we construct convenient von Neumann quantity algebras and quantity-channels between them to represent measurements, and introduce the dual framework of state spaces and state-channels between them to investigate the statistical structure of measurements, and (iii) we provide several detailed examples that illustrate the power and versatility of algebraic approaches to measurement procedures.

Keywords

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