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On local invariants of pure three-qubit states

Sudbery, A. (2001) On local invariants of pure three-qubit states. Journal of Physics A: Mathematical and General, 34 (3). pp. 643-652. ISSN 1361-6447

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Abstract

We study invariants of three-qubit states under local unitary transformations, i.e. functions on the space of entanglement types, which is known to have dimension six. We show that there is no set of six algebraically independent polynomial invariants of degree ≤ 6, and find such a set with maximum degree eight. We describe an intrinsic definition of a canonical state on each orbit, and discuss the (non-polynomial) invariants associated with it.

Item Type: Article
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 20 Apr 2009 12:01
Last Modified: 20 Apr 2009 12:01
Published Version: http://dx.doi.org/10.1088/0305-4470/34/3/323
Status: Published
Publisher: Institute of Physics and IOP Publishing Limited
Identification Number: 10.1088/0305-4470/34/3/323
URI: http://eprints.whiterose.ac.uk/id/eprint/6842

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