Phys. Rev. A 79, 032326 (2009) [4 pages]Only n-qubit Greenberger-Horne-Zeilinger states contain n-partite informationReceived 20 August 2008; published 20 March 2009 The generalized n-qubit Greenberger-Horne-Zeilinger (GHZ) states and their local unitary equivalents are the only pure states of n qubits that are not uniquely determined (among arbitrary states, pure or mixed) by their reduced density matrices of n−1 qubits. Thus, the generalized GHZ states are the only ones containing information at the n-party level. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.79.032326
DOI:
10.1103/PhysRevA.79.032326
PACS:
03.67.Mn, 03.65.Ta, 03.65.Ud
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