dorsal/arxiv
View SchemaBell inequality, Bell states and maximally entangled states for n qubits
| Authors | N. Gisin, H. Bechmann-Pasquinucci |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9804045 |
| URL | https://arxiv.org/abs/quant-ph/9804045 |
| DOI | 10.1016/S0375-9601(98)00516-7 |
| Journal | Phys.Lett. A246 (1998) 1-6 |
Abstract
First, we present a Bell type inequality for n qubits, assuming that m out of the n qubits are independent. Quantum mechanics violates this inequality by a ratio that increases exponentially with m. Hence an experiment on n qubits violating of this inequality sets a lower bound on the number m of entangled qubits. Next, we propose a definition of maximally entangled states of n qubits. For this purpose we study 5 different criteria. Four of these criteria are found compatible. For any number n of qubits, they determine an orthogonal basis consisting of maximally entangled states generalizing the Bell states.
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"abstract": "First, we present a Bell type inequality for n qubits, assuming that m out of\nthe n qubits are independent. Quantum mechanics violates this inequality by a\nratio that increases exponentially with m. Hence an experiment on n qubits\nviolating of this inequality sets a lower bound on the number m of entangled\nqubits. Next, we propose a definition of maximally entangled states of n\nqubits. For this purpose we study 5 different criteria. Four of these criteria\nare found compatible. For any number n of qubits, they determine an orthogonal\nbasis consisting of maximally entangled states generalizing the Bell states.",
"arxiv_id": "quant-ph/9804045",
"authors": [
"N. Gisin",
"H. Bechmann-Pasquinucci"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(98)00516-7",
"journal_ref": "Phys.Lett. A246 (1998) 1-6",
"title": "Bell inequality, Bell states and maximally entangled states for n qubits",
"url": "https://arxiv.org/abs/quant-ph/9804045"
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