dorsal/arxiv
View SchemaSpectral decomposition of Bell's operators for qubits
| Authors | Valerio Scarani, Nicolas Gisin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0103068 |
| URL | https://arxiv.org/abs/quant-ph/0103068 |
| DOI | 10.1088/0305-4470/34/30/314 |
| Journal | J.Phys. A 34 (2001) 6043-6053 |
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 any Mermin-Klyshko inequality for $N\geq 3$.
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"abstract": "The spectral decomposition is given for the N-qubit Bell operators with two\nobservables per qubit. It is found that the eigenstates (when non-degenerate)\nare N-qubit GHZ states even for those operators that do not allow the maximal\nviolation of the corresponding inequality. We present two applications of this\nanalysis. In particular, we discuss the existence of pure entangled states that\ndo not violate any Mermin-Klyshko inequality for $N\\geq 3$.",
"arxiv_id": "quant-ph/0103068",
"authors": [
"Valerio Scarani",
"Nicolas Gisin"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/34/30/314",
"journal_ref": "J.Phys. A 34 (2001) 6043-6053",
"title": "Spectral decomposition of Bell\u0027s operators for qubits",
"url": "https://arxiv.org/abs/quant-ph/0103068"
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