Only n-Qubit Greenberger-Horne-Zeilinger States are Undetermined by their Reduced Density Matrices

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dc.creatorWalck, Scott N.
dc.creatorLyons, David W.
dc.date2007-07-30
dc.date2008-02-12
dc.date.accessioned2026-07-07T10:08:53Z
dc.date.available2026-07-07T10:08:53Z
dc.descriptionThe generalized n-qubit Greenberger-Horne-Zeilinger (GHZ) states and their local unitary equivalents are the only states of n qubits that are not uniquely determined among pure states by their reduced density matrices of n-1 qubits. Thus, among pure states, the generalized GHZ states are the only ones containing information at the n-party level. We point out a connection between local unitary stabilizer subgroups and the property of being determined by reduced density matrices.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/0707.4428
dc.identifierhttp://arxiv.org/abs/0707.4428
dc.identifierPhys. Rev. Lett. 100, 050501 (2008)
dc.identifierdoi:10.1103/PhysRevLett.100.050501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171153
dc.subjectQuantum Physics
dc.titleOnly n-Qubit Greenberger-Horne-Zeilinger States are Undetermined by their Reduced Density Matrices
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