Operational independence and operational separability in algebraic quantum mechanics

Rédei, Miklós ORCID: 0000-0001-5298-1443 (2010) Operational independence and operational separability in algebraic quantum mechanics. Foundations of Physics, 40 (9-10). pp. 1439-1449. ISSN 0015-9018

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Abstract

Recently, new types of independence of a pair of C (*)- or W (*)-subalgebras (A(1,) A(2)) of a C (*)- or W (*)-algebra have been introduced: operational C (*)- and W (*)-independence (Redei and Summers, http://arxiv.org/abs/0810.5294, 2008) and operational C (*)- and W (*)-separability (Redei and Valente, How local are local operations in local quantum field theory? 2009). In this paper it is shown that operational C (*)-independence is equivalent to operational C (*)-separability and that operational W (*)-independence is equivalent to operational W (*)-separability. Specific further sub-types of both operational C (*)- and W (*)-separability and operational C (*)- and W (*)-independence are defined and the problem of characterization of the logical interdependencies of the independence notions is raised.

Item Type:	Article
Official URL:	http://www.springer.com/physics/history+%26+philos...
Additional Information:	© 2010 Springer
Divisions:	Philosophy, Logic and Scientific Method
Subjects:	Q Science > QA Mathematics
Date Deposited:	21 Oct 2010 13:40
Last Modified:	13 Sep 2024 22:50
URI:	http://eprints.lse.ac.uk/id/eprint/29719

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