Spectral decomposition of Bell's operators for qubits
- 20 July 2001
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 34 (30) , 6043-6053
- https://doi.org/10.1088/0305-4470/34/30/314
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-degenerate) are N-qubit GHZ states even for those operators that do not allow the maximal violation of the corresponding inequality. We present two applications of this analysis. In particular, we discuss the existence of pure entangled states that do not violate the Mermin-Klyshko inequality for N ≥3.Keywords
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This publication has 13 references indexed in Scilit:
- Bell inequality for arbitrary many settings of the analyzersPhysics Letters A, 1999
- Bell inequality, Bell states and maximally entangled states for n qubitsPhysics Letters A, 1998
- Critical visibility for-particle Greenberger-Horne-Zeilinger correlations to violate local realismPhysical Review A, 1997
- Interference of light and Bell's theoremPhysics-Uspekhi, 1993
- Maximal violation of Bell's inequality for arbitrarily large spinPhysics Letters A, 1992
- Extreme quantum entanglement in a superposition of macroscopically distinct statesPhysical Review Letters, 1990
- Wringing out better Bell inequalitiesAnnals of Physics, 1990
- Bell Inequalities with a Range of Violation That Does Not Diminish as the Spin Becomes Arbitrarily Large.Physical Review Letters, 1982
- Bell Inequalities with a Range of Violation that Does Not Diminish as the Spin Becomes Arbitrarily LargePhysical Review Letters, 1982
- Proposed Experiment to Test Local Hidden-Variable TheoriesPhysical Review Letters, 1969