Xiao Yunlong, Jing Naihuan, Li-Jost Xianqing
School of Mathematics, South China University of Technology, Guangzhou 510640, China.
Max Planck Institute for Mathematics in the Sciences, Leipzig 04103, Germany.
Sci Rep. 2016 Jul 27;6:30440. doi: 10.1038/srep30440.
In Hall's reformulation of the uncertainty principle, the entropic uncertainty relation occupies a core position and provides the first nontrivial bound for the information exclusion principle. Based upon recent developments on the uncertainty relation, we present new bounds for the information exclusion relation using majorization theory and combinatoric techniques, which reveal further characteristic properties of the overlap matrix between the measurements.
在霍尔对不确定性原理的重新表述中，熵不确定性关系占据核心地位，并为信息排斥原理提供了首个非平凡的界限。基于不确定性关系的最新进展，我们利用优超理论和组合技术给出了信息排斥关系的新界限，这揭示了测量之间重叠矩阵的更多特征性质。
