Phys. Rev. Lett. 90, 107902 (2003) [3 pages]One-Qubit Reduced States of a Pure Many-Qubit State: Polygon InequalitiesReceived 26 September 2002; published 13 March 2003 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.107902
DOI:
10.1103/PhysRevLett.90.107902
PACS:
03.67.Mn, 03.65.Ta, 03.65.Ud
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