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One-qubit reduced states of a pure many-qubit state: polygon inequalities

Higuchi, A., Sudbery, A. and Szulc, J. (2003) One-qubit reduced states of a pure many-qubit state: polygon inequalities. Physical Review Letters, 90 (10/107). 107902-3 pages. ISSN 1079-7114

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We show that a necessary and sufficient condition for a set of n one-qubit mixed states to be the reduced states of a pure n-qubit state is that their smaller eigenvalues should satisfy polygon inequalities: each of them must be no greater than the sum of the others.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Physics (York)
The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 09 Mar 2009 15:49
Last Modified: 09 Mar 2009 15:49
Published Version: http://dx.doi.org/10.1103/PhysRevLett.90.107902
Status: Published
Publisher: The American Physical Society.
Identification Number: 10.1103/PhysRevLett.90.107902
URI: http://eprints.whiterose.ac.uk/id/eprint/7275

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