Multipartite quantum nonlocality under local decoherence

Abstract

We study the nonlocal properties of two-qubit maximally-entangled and N-qubit Greenberger-Horne-Zeilinger states under local decoherence. We show that the (non)resilience of entanglement under local depolarization or dephasing is not necessarily equivalent to the (non)resilience of Bell-inequality violations. Apart from entanglement and Bell-inequality violations, we consider also nonlocality as quantified by the nonlocal content of correlations, and provide several examples of anomalous behaviors, both in the bipartite and multipartite cases. In addition, we study the practical implications of these anomalies on the usefulness of noisy Greenberger-Horne-Zeilinger states as resources for nonlocality-based physical protocols given by communication complexity problems. There, we provide examples of quantum gains improving with the number of particles that coexist with exponentially-decaying entanglement and non-local contents.

6 pages, 4 figures

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• Open-System Dynamics of Entanglement
• Quantifying Bell non-locality with the trace distance
• Concentration phenomena in the geometry of Bell correlations
• Time-invariant entanglement and sudden death of nonlocality for multipartite systems under collective dephasing
• Decoherence Effects on the Non-locality of Symmetric States
• Nonlocal quantum correlations under amplitude damping decoherence
• Robust multipartite quantum correlations without complex encodings
• Detecting nonlocality of noisy multipartite states with the CHSH inequality
• Nonlocality Distillation and Quantum Voids
• Macroscopic Schrödinger Cat Resistant to Particle Loss and Local Decoherence
• Multipartite quantum and classical correlations in symmetric n-qubit mixed states
• Maximally correlated multipartite quantum states
• Genuine three qubit Einstein-Podolsky-Rosen steering under decoherence: Revealing hidden genuine steerability via pre-processing
• Experimental Approach to Demonstrating Contextuality for Qudits
• Quantum correlation generation capability of experimental processes
• Full Bell locality of a noisy state for $N\ge 3$ nonlocally entangled qudits
• Enhancing entanglement and total correlations dynamics via local unitaries
• No Bipartite-Nonlocal Causal Theory Can Explain Nature's Correlations
• Quantifying tolerance of a nonlocal multi-qudit state to any local noise
• Incompatibility of optimized protection of entanglement and teleportation fdelity in the presence of decoherence