文献类型：期刊文献

英文题名：Strong majorization uncertainty relations: Theory and experiment

作者：Yuan, Yuan[1,2,3]; Xiao, Yunlong[4,5]; Hou, Zhibo[1,3]; Fei, Shao-Ming[6,7]; Gour, Gilad[4,5]; Xiang, Guo-Yong[1,3]; Li, Chuan-Feng[1,3]; Guo, Guang-Can[1,3]

机构：[1] CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, 230026, China; [2] Department of Physics, East China University of Science and Technology, Shanghai, 200237, China; [3] Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui, 230026, China; [4] Department of Mathematics and Statistics, University of Calgary, Calgary, AB, T2N 1N4, Canada; [5] Institute for Quantum Science and Technology, University of Calgary, Calgary, AB, T2N 1N4, Canada; [6] School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China; [7] Max Planck Institute for Mathematics in the Sciences, Leipzig, 04103, Germany

年份：2019

外文期刊名：arXiv

收录：EI(收录号：20200297117)

语种：英文

摘要：In spite of enormous theoretical and experimental progresses in quantum uncertainty relations, the experimental investigation of most current, and universal formalism of uncertainty relations, namely majorization uncertainty relations (MURs), has not been implemented yet. A significant problem is that previous studies on the classification of MURs only focus on their mathematical expressions, while the physical difference between various forms remains unknown. First, we use a guessing game formalism to study the MURs, which helps us disclosing their physical nature, and distinguishing the essential differences of physical features between diverse forms of MURs. Second, we tighter the bounds of MURs in terms of flatness processes, or equivalently, in terms of majorization lattice. Third, to benchmark our theoretical results, we experimentally verify MURs in the photonic systems. Copyright ? 2019, The Authors. All rights reserved.