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Polynomial invariants and Bell inequalities as entanglement measure of 4-qubit states

Jochen Endrejat, Helmut Buettner

quant-pharXiv:quant-ph/0606215

Abstract

We compare the polynomial invariants for four qubits introduced by Luque and Thibon, PRA 67, 042303 (2003), with optimized Bell inequalities and a combination of two qubit concurrences. It is shown for various parameter dependent states from different SLOCC classes that it is possible to measure a genuine 4-qubit entanglement with these polynomials.

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