Pure spinors, impure spinors and quantum mechanics

Hewitt, M. (2017) Pure spinors, impure spinors and quantum mechanics. In: X. International Symposium Quantum Theory and Symmetries, 18-22 July 2017, Varna, Bulgaria.

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Abstract

The geometry of spinors in higher dimensional spaces is used to elucidate a potential ambiguity in the concept of a pure quantum state, and a ‘toroidal entropy’ is introduced to provide a measure of the geometrical ‘impurity’ of spinors. The geometry of the sub-manifold of geometrically pure spinors is described. The relationship of toroidal entropy with the preparation of a pure quantum state is discussed. It is shown that the toroidal entropy is trivial in 3 dimensions or for a single qubit system, but may be relevant to the physics of general quantum computation. A generalisation of these concepts to general Lie group representations is also presented.

Item Type: Conference or Workshop Item (Lecture)
Uncontrolled Keywords: Group representations; entropy; quantum mechanics
Subjects: Q Science > QC Physics > QC0770 Nuclear and particle physics. Atomic energy. Radioactivity
Divisions: Faculty of Social and Applied Sciences > School of Law, Criminal Justice and Computing
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Depositing User: Mr Mike Hewitt
Date Deposited: 25 Jul 2017 14:40
Last Modified: 28 Jul 2017 09:00
URI: https://create.canterbury.ac.uk/id/eprint/16085

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Last edited: 29/06/2016 12:23:00