Spectral decomposition of Bell's operators for qubits

Details Spectral decomposition of Bell's operators for qubits Spectral decomposition of Bell's operators for qubits

2001-03-13

arxiv.org/abs/quant-ph/0103068v1

J.Phys. A 34 (2001) 6043-6053

Physics

Quantum Physics

12 pages, 1 figures

Scientific paper

10.1088/0305-4470/34/30/314

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 any Mermin-Klyshko inequality for $N\geq 3$.

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