Strong majorization uncertainty relations and experimental verifications

Author:

Yuan YuanORCID,Xiao YunlongORCID,Hou Zhibo,Fei Shao-Ming,Gour Gilad,Xiang Guo-YongORCID,Li Chuan-FengORCID,Guo Guang-Can

Abstract

AbstractIn spite of enormous theoretical and experimental progress in quantum uncertainty relations, the experimental investigation of the most current, and universal formalism of uncertainty relations, namely majorization uncertainty relations (MURs), has not been implemented yet. A major problem is that previous studies of majorization uncertainty relations mainly focus on their mathematical expressions, leaving the physical interpretation of these different forms unexplored. To address this problem, we employ a guessing game formalism to reveal physical differences between diverse forms of majorization uncertainty relations. Furthermore, we tighter the bounds of MURs by using flatness processes. Finally, we experimentally verify strong MURs in the photonic system to benchmark our theoretical results.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shanghai

Agency for Science, Technology and Research

Natural Science Foundation of Beijing Municipality

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Computer Networks and Communications,Statistical and Nonlinear Physics,Computer Science (miscellaneous)

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