A Stronger Multi-observable Uncertainty Relation
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Li, Jun-Li
Peng, Guang-Xiong
Qiao, Cong-Feng
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Uncertainty relation lies at the heart of quantum mechanics, characterizing the incompatibility of non-commuting observables in the preparation of quantum states. An important question is how to improve the lower bound of uncertainty relation. Here we present a variance-based sum uncertainty relation for N incompatible observables stronger than the simple generalization of an existing uncertainty relation for two observables. Further comparisons of our uncertainty relation with other related ones for spin- and spin-1 particles indicate that the obtained uncertainty relation gives a better lower bound.
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Scientific Reports
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7
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© The Author(s) 2018. This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
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Quantum physics
Science & Technology
Multidisciplinary Sciences
Science & Technology - Other Topics
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Song, Q-C; Li, J-L; Peng, G-X; Qiao, C-F, A Stronger Multi-observable Uncertainty Relation, Scientific Reports, 2017, 7, pp. 44764