Activation of nonlocality in bound entanglement

Abstract

We discuss the relation between entanglement and nonlocality in the hidden nonlocality scenario. Hidden nonlocality signifies nonlocality that can be activated by applying local filters to a particular state that admits a local hidden-variable model in the Bell scenario. We present a fully-biseparable three-qubit bound entangled state with a local model for the most general (non-sequential) measurements. This proves for the first time that bound entangled states can admit a local model for general measurements. We furthermore show that the local model breaks down when suitable local filters are applied. Our results demonstrate the first example of activation of nonlocality in bound entanglement. Hence, we show that genuine hidden nonlocality does not imply entanglement distillability.

arXiv comment6 pages, 2 figures

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• Bound entangled states are useful in prepare-and-measure scenarios
• Tight upper bound on the quantum value of Svetlichny operators under local filtering and hidden genuine nonlocality
• The Schmidt number of a quantum state cannot always be device-independently certified
• Quantum Grid States and Hybrid Graphs
• Bound entanglement-assisted prepare-and-measure scenarios based on four-dimensional quantum messages
• Certifying the activation of Bell nonlocality with finite data
• Protocols for sharing genuine multipartite entanglement by employing copies of biseparable states