Liang Xu1,2,3,4,5,†, Huichao Xu1,2,3,4,6, Jie Xie1,2,3,4, Hui Li1,2,3,4..., Lin Zhou1,2,3,4, Feixiang Xu1,2,3,4 and Lijian Zhang1,2,3,4,*|Show fewer author(s)
Author Affiliations
1Nanjing University, College of Engineering and Applied Sciences, Nanjing, China2Nanjing University, Collaborative Innovation Center of Advanced Microstructures, Nanjing, China3Nanjing University, National Laboratory of Solid State Microstructures, Nanjing, China4Nanjing University, Key Laboratory of Intelligent Optical Sensing and Manipulation, Nanjing, China5Research Center for Quantum Sensing, Zhejiang Laboratory, Hangzhou, China6Purple Mountain Laboratories, Nanjing, Chinashow less
Abstract
The quantum properties of quantum measurements are indispensable resources in quantum information processing and have drawn extensive research interest. The conventional approach to revealing quantum properties relies on the reconstruction of entire measurement operators by quantum detector tomography. However, many specific properties can be determined by a part of the matrix components of the measurement operators, which makes it possible to simplify the characterization process. We propose a general framework to directly obtain individual matrix elements of the measurement operators by sequentially measuring two noncompatible observables. This method allows us to circumvent the complete tomography of the quantum measurement and extract the required information. We experimentally implement this scheme to monitor the coherent evolution of a general quantum measurement by determining the off-diagonal matrix elements. The investigation of the measurement precision indicates the good feasibility of our protocol for arbitrary quantum measurements. Our results pave the way for revealing the quantum properties of quantum measurements by selectively determining the matrix components of the measurement operators.
