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We analyze a model of double quantum dot Cooper pair splitter coupled to twoferromagnetic detectors, and demonstrate the possibility of determination ofspin correlation by current measurements. We use perturbation theory takingaccount of the exchange interaction with the detectors, which leads to complexspin dynamics in the dots. This affects the measured spin and restricts the useof ferromagnetic detectors to the nonlinear current-voltage characteristicregime at current plateau, where the relevant spin projection is conserved, incontrast to the linear current-voltage characteristic regime, in which the spininformation is distorted. Moreover, we show that for separable states the spincorrelation can only be determined in a limited parameter regime, much morerestricted than in the case of entangled states. We propose an entanglementtest based on the Bell inequality.

Spin correlation and entanglement detection in Cooper pair splitters by current measurements using magnetic detectors