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

2006/06/26 by Jochen Endrejat, Endrejat, Jochen, H. Buettner +1
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.quant-ph/0606215

openalex publication_date 2006/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compare the polynomial invariants for four qubits introduced by Luque and Thibon, PRA \bf 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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