2013/11/30 by Rafael Chaves, Antonio Acín, Leandro Aolita +1
Computer Science · Mathematics · Physics and Astronomy · #Bipartite graph #Dephasing #Discrete mathematics #Graph #Greenberger–Horne–Zeilinger state #Mathematics #Multipartite #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum decoherence #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Qubit #Statistical physics #W state #quant-ph
paper · pdf · doi:10.1103/physreva.89.042106
published as Phys. Rev. A 89, 042106 (2014) · 8 pages, 3 figures
openalex publication_date 2014/04/14 · arxiv created 2014/05/30 · arxiv updated 2014/06/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Clauser-Horne-Shimony-Holt inequality was originally proposed as a Bell inequality to detect nonlocality in bipartite systems. However, it can also be used to certify the nonlocality of multipartite quantum states. We apply this to study the nonlocality of multipartite Greenberger-Horne-Zeilinger (GHZ), W, and graph states under local decoherence processes. We derive lower bounds on the critical local-noise strength tolerated by the states before becoming local. In addition, for the whole noisy dynamics, we derive lower bounds on the corresponding nonlocal content for the three classes of states. All the bounds presented can be calculated efficiently and, in some cases, provide significantly tighter estimates than with any other known method. For example, they reveal that N-qubit GHZ states undergoing local dephasing are, for all N, nonlocal throughout all the dephasing dynamics.