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Reliable Entanglement Detection Under Coarse-Grained Measurements

Reliable Entanglement Detection Under Coarse-Grained Measurements

We derive reliable entanglement witnesses for coarse-grained measurements on continuous variable systems. These witnesses never return a "false positive" for identification of entanglement, under any degree of coarse graining. We show that, even in the case of Gaussian states, entanglement witnesses based on the Shannon entropy can outperform those based …