BELL INEQUALITY, BELL STATES AND MAXIMALLY ENTANGLED STATES FOR N QUBITS

Citation
N. Gisin et H. Bechmannpasquinucci, BELL INEQUALITY, BELL STATES AND MAXIMALLY ENTANGLED STATES FOR N QUBITS, Physics letters. A, 246(1-2), 1998, pp. 1-6
Citations number
11
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
246
Issue
1-2
Year of publication
1998
Pages
1 - 6
Database
ISI
SICI code
0375-9601(1998)246:1-2<1:BIBSAM>2.0.ZU;2-0
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 ex periment on n qubits violating this inequality sets a lower bound on t he number m of entangled qubits. Next, we propose a definition of maxi mally entangled states of n qubits. For this purpose we study five dif ferent criteria. Four of these criteria are found compatible. For any number n of qubits, they determine an orthogonal basis consisting of m aximally entangled states generalizing the Bell states. (C) 1998 Elsev ier Science B.V.