Multiparty multilevel Greenberger-Horne-Zeilinger states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 63, Issue 2, 2001, Pages 022104-022101

  Cabello, Adán ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; TENSORS;

MULTIPARTY MULTILEVEL SYSTEMS; QUANTUM STATES;

QUANTUM THEORY;

EID: 0035251254     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.63.022104     Document Type: Article

References (18)

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15. We can develop similar GHZ-like arguments starting from one-particle maximal operators with different eigenvalues other than those chosen in this paper, or even starting from nonmaximal operators. However, the choice in this paper (maximal operators with eigenvalues from -s to s) leads to a natural generalization of the original GHZ proof with spin-1/2 systems. It was recently proved that, for three spin-s particles, any one-particle operator can always be reduced to a direct sum of two two-level anticommuting one-particle operators (J. Savinien, J. Taron, and R. Tarrach, e-print quant-ph/0007069).
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18. A similar set of requirements for a GHZ-like contradiction in the case of n spin-1/2 particles is proposed in Ref. [7].