Gisin's Theorem for Three Qubits

2003/11/30 by Jing-Ling Chen, Jing‐Ling Chen, Chunfeng Wu +2
Arts and Humanities · Computer Science · Physics and Astronomy · #Philosophy and History of Science #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physrevlett.93.140407

published as Phys. Rev. Lett. 93, 140407 (2004) · 5 pages, 2 figures. v2: journal-ref is added and some corrections are made

openalex publication_date 2004/09/29 · arxiv created 2004/10/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a theorem that all generalized Greenberger-Horne-Zeilinger states of a three-qubit system violate a Bell inequality in terms of probabilities. All pure entangled states of a three-qubit system are shown to violate a Bell inequality for probabilities; thus, one has Gisin's theorem for three qubits.

Citations

• Do all pure entangled states violate Bell's inequalities for correlation functions?
• General Correlation Functions of the Clauser-Horne-Shimony-Holt Inequality for Arbitrarily High-Dimensional Systems
• Bell’s Theorem for GeneralN-Qubit States
• All-multipartite Bell-correlation inequalities for two dichotomic observables per site
• Relation between entanglement measures and Bell inequalities for three qubits
• On the Einstein Podolsky Rosen paradox