Uncertainty equalities and uncertainty relation in weak measurement

@article{Song2015UncertaintyEA,
  title={Uncertainty equalities and uncertainty relation in weak measurement},
  author={Qiu-Cheng Song and Cong-Feng Qiao},
  journal={arXiv: Quantum Physics},
  year={2015}
}
Uncertainty principle is one of the fundamental principles in quantum mechanics. In this work, we derive two uncertainty equalities, which hold for all pairs of incompatible observables. We also obtain an uncertainty relation in weak measurement which captures the limitations on the preparation of pre- and post-selected ensemble and holds for two non-Hermitian operators corresponding to two non-commuting observables. 
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