Decoherence Effects on the Non-locality of Symmetric States

Abstract

The observation of the non-local properties of multipartite entangled states is of great importance for quantum information protocols. Such properties, however, are fragile and may not be observed in the presence of decoherence exhibited by practical physical systems. In this work, we investigate the robustness of the non-locality of symmetric states experiencing phase and amplitude damping, using suitable Bell inequalities based on an extended version of Hardy's paradox. We derive thresholds for observing non-locality in terms of experimental noise parameters, and demonstrate the importance of the choice of the measurement bases for optimizing the robustness. For $W$ states, in the phase damping case, we show that this choice can lead to a trade-off between obtaining a high violation of the non-local test and optimal robustness thresholds; we also show that in this setting the non-locality of $W$ states is particularly robust for a large number of qubits. Furthermore, we apply our techniques to the discrimination of symmetric states belonging to different entanglement classes, thus illustrating their usefulness for a wide range of practical quantum information applications.

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• Scalable generation and detection of on-demand W states in nanophotonic circuits
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• Closing the detection loophole in tripartite Bell tests using the W state
• Bounding the persistency of the nonlocality of W states
• A Logical Proof of Quantum Correlations Requiring Entanglement Measurements
• Genuine three qubit Einstein-Podolsky-Rosen steering under decoherence: Revealing hidden genuine steerability via pre-processing
• Full Bell locality of a noisy state for $N\ge 3$ nonlocally entangled qudits
• Experimental Approach to Demonstrating Contextuality for Qudits
• Robust Multipartite Entanglement Without Entanglement Breaking
• Quantifying tolerance of a nonlocal multi-qudit state to any local noise