Uncertainty relation of successive measurements based on Wigner-Yanase skew information

• 作者: Jun Zhang Jia-Ning Wei Zhou-Bo Duan Kan He Chang-Shui Yu
• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2022,（1）
• 所属期刊栏目: QUANTUM PHYSICS AND QUANTUM INFORMATION
• 页码范围: 25-30
• 页数: 6页
• 语种: 英文

摘要

Wigner-Yanase skew information could quantify the quantum uncertainty of the observables that are not commuting with a conserved quantity.We present the uncertainty principle for two successive projective measurements in terms of Wigner-Yanase skew information based on a single quantum system.It could capture the incompatibility of the observables,i.e.the lower bound can be nontrivial for the observables that are incompatible with the state of the quantum system.Furthermore,the lower bound is also constrained by the quantum Fisher information.In addition,we find the complementarity relation between the uncertainties of the observable which operated on the quantum state and the other observable that performed on the post-measured quantum state and the uncertainties formed by the non-degenerate quantum observables performed on the quantum state,respectively.