收稿日期: 2015-05-11
修回日期: 2015-05-22
网络出版日期: 2016-01-15
基金资助
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 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)
宋秋成 , 乔从丰 . 不确定等式和弱测量中的不确定关系[J]. 中国科学院大学学报, 2016 , 33(1) : 37 -41 . DOI: 10.7523/j.issn.2095-6134.2016.01.006
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
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