| 不确定等式和弱测量中的不确定关系 |
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| 作者姓名： | 宋秋成 乔从丰 |
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| 作者单位： | 中国科学院大学物理学院, 北京 100049 |
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| 基金项目： | 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) |
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| 摘 要： | 不确定原理是量子力学的基本原理之一.我们导出2个不确定等式,适用于2个不相容的可观测量.同时得到一个弱测量中的不确定关系,适用于2个不相容可观测量对应的非厄米算符.它指出了制备前选择和后选择系综的极限.
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| 关 键 词： | 不确定等式 不确定关系 弱值 方差 |
| 收稿时间： | 2015-05-11 |
| 修稿时间： | 2015-05-22 |
Uncertainty equalities and uncertainty relation in weak measurement |
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| Authors: | SONG Qiucheng QIAO Congfeng |
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| Institution: | School of physics, University of Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | 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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| Keywords: | uncertainty equality uncertainty relation weak value variance |
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