2014/06/30 by Margaret D. Reid, M. D. Reid, Bogdan Opanchuk +4
Computer Science · Mathematics · Physics and Astronomy · #Bell's theorem #Mathematics #Multipartite #Phase space #Physics #Probabilistic logic #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Qubit #Statistical physics #Statistics #quant-ph
paper · pdf · doi:10.1103/physreva.90.012111
arxiv created 2014/07/07 · openalex publication_date 2014/07/18 · arxiv updated 2014/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that violation of genuine multipartite Bell inequalities can be obtained with sampled, probabilistic phase-space methods. These genuine Bell violations cannot be replicated if any part of the system is described by a local hidden variable theory. The Bell violations are simulated probabilistically using quantum phase-space representations. We treat mesoscopically large Greenberger-Horne-Zeilinger (GHZ) states having up to 60 qubits, using both a multipartite SU(2)-Q representation and the positive-P representation. Surprisingly, we find that sampling with phase-space distributions can be exponentially faster than experiment. This is due to the classical parallelism inherent in the simulation of quantum measurements using phase-space methods. Our probabilistic sampling method predicts a contradiction with local realism of ``Schr"odinger-cat'' states that can be realized as a GHZ spin state, either in ion traps or with photonic qubits. We also present a quantum simulation of the observed superdecoherence of the ion-trap ``cat'' state, using a phenomenological noise model.