A Stronger Multi-observable Uncertainty Relation.
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.
Department of Physics, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing 100049, China.
Qiu-Cheng
QC
Song
Department of Physics, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing 100049, China.|Key Laboratory of Vacuum Physics, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing 100049, China.
Jun-Li
JL
Li
Department of Physics, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing 100049, China.
Guang-Xiong
GX
Peng
Department of Physics, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing 100049, China.|Key Laboratory of Vacuum Physics, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing 100049, China.|Department of Physics &Astronomy, York University, Toronto, ON M3J 1P3, Canada.
Cong-Feng
CF
Qiao