Spectral decomposition of Bell's operators for qubits

Authors
Scarani, V Gisin, N
Citation
V. Scarani et N. Gisin, Spectral decomposition of Bell's operators for qubits, J PHYS A, 34(30), 2001, pp. 6043-6053
Citations number
17
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
30
Year of publication
2001
Pages
6043 - 6053
Database
ISI
SICI code
0305-4470(20010803)34:30<6043:SDOBOF>2.0.ZU;2-I
Abstract
The spectral decomposition is given for the N-qubit Bell operators with two observables per qubit. It is found that the eigenstates (when non-degenera te) are N-qubit GHZ states even for those operators that do not allow the m aximal violation of the corresponding inequality. We present two applicatio ns of this analysis. In particular, we discuss the existence of pare entang led states that do not violate the Mermin-Klyshko inequality for N greater than or equal to 3.