Weak Measurements Destroy Too Much Quantum Correlation

The quantum correlation under weak measurements is studied via skew information. For 2 x d-dimensional states, it can be given by a closed form which linearly depends on the quantum correlation [EPL. 107 (2014) 10007] determined by the strength of the weak measurement. It is found that the quantum correlation under weak measurements only captures partial quantumness of the state. In particular, the extraction of the residual quantumness by the latter measurements will inevitably destroy too much quantumness. To demonstration, the Werner state is given as an example.