2000/06/06 by Peter van Loock, P. van Loock, Samuel L. Braunstein · 64 citations
Computer Science · Mathematics · Physics and Astronomy · #Continuous variable #Greenberger–Horne–Zeilinger state #Mathematics #Multipartite #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Qubit #Statistics #W state #quant-ph
paper · pdf · doi:10.1103/physreva.63.022106
published in Physical Review A 63(2) (American Physical Society) · 7 pages, 3 figures
arxiv created 2000/06/06 · openalex publication_date 2001/01/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that the continuous-variable analogues to the multipartite entangled Greenberger-Horne-Zeilinger states of qubits violate Bell-type inequalities imposed by local realistic theories. Our results suggest that the degree of nonlocality of these nonmaximally entangled continuous-variable states, represented by the maximum violation, grows with increasing number of parties. This growth does not appear to be exponentially large as for the maximally entangled qubit states, but rather decreases for larger numbers of parties.