Phys. Rev. Lett. 90, 107902 (2003) - One-Qubit Reduced States of a Pure Many-Qubit State: Polygon Inequalities

One-Qubit Reduced States of a Pure Many-Qubit State: Polygon Inequalities

A. Higuchi, A. Sudbery, and J. Szulc

Phys. Rev. Lett. 90, 107902 – Published 13 March 2003

Abstract

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.

Received 26 September 2002

DOI:https://doi.org/10.1103/PhysRevLett.90.107902

©2003 American Physical Society

Authors & Affiliations

A. Higuchi^*, A. Sudbery^†, and J. Szulc^‡

Department of Mathematics, University of York, Heslington, York YO10 5DD, United Kingdom

^*Electronic address: ah28@york.ac.uk
^†Electronic address: as2@york.ac.uk
^‡Electronic address: js115@york.ac.uk

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Vol. 90, Iss. 10 — 14 March 2003

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