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Pentagrams and Paradoxes
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2011 (English)In: FOUNDATIONS OF PHYSICS, ISSN 0015-9018, Vol. 41, no 3, 414-423 p.Article in journal (Refereed) Published
Abstract [en]

Klyachko and coworkers consider an orthogonality graph in the form of a pentagram, and in this way derive a Kochen-Specker inequality for spin 1 systems. In some low-dimensional situations Hilbert spaces are naturally organised, by a magical choice of basis, into SO(N) orbits. Combining these ideas some very elegant results emerge. We give a careful discussion of the pentagram operator, and then show how the pentagram underlies a number of other quantum "paradoxes", such as that of Hardy.

Place, publisher, year, edition, pages
Springer Science Business Media , 2011. Vol. 41, no 3, 414-423 p.
Keyword [en]
Kochen-Specker, Magical basis
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-66299DOI: 10.1007/s10701-010-9433-3ISI: 000287208700016OAI: oai:DiVA.org:liu-66299DiVA: diva2:403121
Note
The original publication is available at www.springerlink.com: Piotr Badziag, Ingemar Bengtsson, Adan Cabello, Helena Granstrom and Jan-Åke Larsson, Pentagrams and Paradoxes, 2011, FOUNDATIONS OF PHYSICS, (41), 3, 414-423. http://dx.doi.org/10.1007/s10701-010-9433-3 Copyright: Springer Science Business Media http://www.springerlink.com/ Available from: 2011-03-11 Created: 2011-03-11 Last updated: 2016-08-31

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