In the late 80s, a curious effect suggested by Aharanov, Albert and Vaidmanopened up new vistas regarding quantum measurements on weakly coupled systems.There, a combination of a "weak" finite interaction together with a "strong"post-selection measurement leads to an anomalous effect, namely the mean valueof a spin-1/2 particle in the $z-$direction lies outside the conventionalspectrum of $\pm$1. In this paper, we investigate the quantum control of the weak valueamplification of a qubit system coupled to a meter, via a secondnon-interacting qubit, initially quantum correlated with the first one. Ourresults show that for weak measurements, the control can be remotely realizedvia the post-selected state of the second qubit or the degree of squeezing ofthe meter. Additionally, in a step towards the study of the quantum control ofthe amplification, we can easily manipulate the degree of quantum correlationsbetween the initial correlated qubits. We find that the degree of Entanglementhas no effect on the quantum control of the amplification. However, we havefound a clear connection between the amplification and quantum discord likemeasurements as well as classical correlations between the qubits. Moreover, wegeneralize the analysis to two control qubits and we can conclude that thesingle control qubit scheme is more efficient. Lastly, we suggest an originalapplication of the amplification control protocol on the enhancement of thequantum measurement accuracy, e.g. measuring the relative phase of thepost-selected control qubit in a more precise way, as opposed to theno-amplification case
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