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Entanglement of a quantum system depends upon relative phase in complicatedways, which no single measurement can reflect. Because of this, entanglementwitnesses are necessarily limited in applicability and/or utility. We proposehere a solution to the problem using quantum neural networks. A quantum systemcontains the information of its entanglement; thus, if we are clever, we canextract that information efficiently. As proof of concept, we show how this canbe done for the case of pure states of a two-qubit system, using anentanglement indicator corrected for the anomalous phase oscillation. Both theentanglement indicator and the phase correction are calculated by the quantumsystem itself acting as a neural network.

On the correction of anomalous phase oscillation in entanglement witnesses using quantum neural networks