New Bell inequalities for three-qubit pure states

2016/11/30 by Arpan Das, Chandan Datta, Pankaj Agrawal · 16 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Bell state #Bell test experiments #Bell's theorem #Class (philosophy) #Computer science #Mathematics #Multipartite entanglement #Peres–Horodecki criterion #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum channel #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Quantum teleportation #Qubit #Separable state #Set (abstract data type) #Squashed entanglement #State (computer science) #Theoretical physics #W state #quant-ph

paper · pdf · doi:10.1016/j.physleta.2017.10.023

published in Physics Letters A 381(47), 3928-3933 (Elsevier BV) · 8 pages, 7 figures, published version

openalex publication_date 2017/10/19 · arxiv created 2017/11/01 · arxiv updated 2017/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We introduce a set of Bell inequalities for a three-qubit system. Each inequality within this set is violated by all generalized GHZ states. More entangled a generalized GHZ state is, more will be the violation. This establishes a relation between nonlocality and entanglement for this class of states. Certain inequalities within this set are violated by pure biseparable states. We also provide numerical evidence that at least one of these Bell inequalities is violated by a pure genuinely entangled state. These Bell inequalities can distinguish between separable, biseparable and genuinely entangled pure three-qubit states. We also generalize this set to n-qubit systems and may be suitable to characterize the entanglement of n-qubit pure states.

Citations

• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Three qubits can be entangled in two inequivalent ways
• Do all pure entangled states violate Bell's inequalities for correlation functions?
• Bell’s Theorem for GeneralN-Qubit States
• Sufficient conditions for three-particle entanglement and their tests in recent experiments
• Definitions of multipartite nonlocality
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• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
• On the Einstein Podolsky Rosen paradox
• Significant-loophole-free test of Bell's theorem with entangled photons
• A strong loophole-free test of local realism
• Bell nonlocality