Journal of University of Chinese Academy of Sciences >
Uncertainty equalities and uncertainty relation in weak measurement
Received date: 2015-05-11
Revised date: 2015-05-22
Online published: 2016-01-15
Supported by
Supported by Ministry of Science and Technology of the People's Republic of China(2015CB856703),and the Naional Natural Science Foundation of China(NSFC) (11175249,11375200)
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.
Key words： uncertainty equality; uncertainty relation; weak value; variance
SONG Qiucheng , QIAO Congfeng . Uncertainty equalities and uncertainty relation in weak measurement[J]. Journal of University of Chinese Academy of Sciences, 2016 , 33(1) : 37 -41 . DOI: 10.7523/j.issn.2095-6134.2016.01.006
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