  In the late 80s, a curious effect suggested by Aharanov, Albert and Vaidman
opened 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 value
of a spin-1/2 particle in the $z-$direction lies outside the conventional
spectrum of $\pm$1.
  In this paper, we investigate the quantum control of the weak value
amplification of a qubit system coupled to a meter, via a second
non-interacting qubit, initially quantum correlated with the first one. Our
results show that for weak measurements, the control can be remotely realized
via the post-selected state of the second qubit or the degree of squeezing of
the meter. Additionally, in a step towards the study of the quantum control of
the amplification, we can easily manipulate the degree of quantum correlations
between the initial correlated qubits. We find that the degree of Entanglement
has no effect on the quantum control of the amplification. However, we have
found a clear connection between the amplification and quantum discord like
measurements as well as classical correlations between the qubits. Moreover, we
generalize the analysis to two control qubits and we can conclude that the
single control qubit scheme is more efficient. Lastly, we suggest an original
application of the amplification control protocol on the enhancement of the
quantum measurement accuracy, e.g. measuring the relative phase of the
post-selected control qubit in a more precise way, as opposed to the
no-amplification case
