We study the nonlocal properties of two-qubit maximally-entangled and N-qubitGreenberger-Horne-Zeilinger states under local decoherence. We show that the(non)resilience of entanglement under local depolarization or dephasing is notnecessarily equivalent to the (non)resilience of Bell-inequality violations.Apart from entanglement and Bell-inequality violations, we consider alsononlocality as quantified by the nonlocal content of correlations, and provideseveral examples of anomalous behaviors, both in the bipartite and multipartitecases. In addition, we study the practical implications of these anomalies onthe usefulness of noisy Greenberger-Horne-Zeilinger states as resources fornonlocality-based physical protocols given by communication complexityproblems. There, we provide examples of quantum gains improving with the numberof particles that coexist with exponentially-decaying entanglement andnon-local contents.
展开▼
