Experimental Investigation of Uncertainty Relations for Non-Hermitian Operators

被引:6
作者
Zhao, Xinzhi [1 ]
Yu, Xinglei [1 ]
Zhou, Wenting [1 ]
Zhang, Chengjie [1 ,2 ]
Xu, Jin-Shi [2 ,3 ,4 ]
Li, Chuan-Feng [2 ,3 ,4 ]
Guo, Guang-Can [2 ,3 ,4 ]
机构
[1] Ningbo Univ, Sch Phys Sci & Technol, Ningbo 315211, Peoples R China
[2] Univ Sci & Technol China, Hefei Natl Lab, Hefei 230088, Peoples R China
[3] Univ Sci & Technol China, CAS Key Lab Quantum Informat, Hefei 230026, Peoples R China
[4] Univ Sci & Technol China, CAS Ctr Excellence Quantum Informat & Quantum Phys, Hefei 230026, Peoples R China
基金
中国国家自然科学基金;
关键词
UNIFIED THEORY; QUANTUM;
D O I
10.1103/PhysRevLett.132.070203
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Uncertainty relations for Hermitian operators have been confirmed through many experiments. However, previous experiments have only tested the special case of non-Hermitian operators, i.e., uncertainty relations for unitary operators. In this study, we explore uncertainty relations for general non-Hermitian operators, which include Hermitian and unitary operators as special cases. We perform experiments with both real and complex non-Hermitian operators for qubit states, and confirm the validity of the uncertainty relations within the experimental error. Our results provide experimental evidence of uncertainty relations for non-Hermitian operators. Furthermore, our methods for realizing and measuring non-Hermitian operators are valuable in characterizing open-system dynamics and enhancing parameter estimation.
引用
收藏
页数:6
相关论文
共 59 条
[1]   Adiabatic measurements on metastable systems [J].
Aharonov, Y ;
Massar, S ;
Popescu, S ;
Tollaksen, J ;
Vaidman, L .
PHYSICAL REVIEW LETTERS, 1996, 77 (06) :983-987
[2]   GEOMETRIC PHASE FOR CYCLIC MOTIONS AND THE QUANTUM STATE-SPACE METRIC [J].
ANANDAN, J .
PHYSICS LETTERS A, 1990, 147 (01) :3-8
[3]   Uncertainty relations for general unitary operators [J].
Bagchi, Shrobona ;
Pati, Arun Kumar .
PHYSICAL REVIEW A, 2016, 94 (04)
[4]   Entanglement-assisted guessing of complementary measurement outcomes [J].
Berta, Mario ;
Coles, Patrick J. ;
Wehner, Stephanie .
PHYSICAL REVIEW A, 2014, 90 (06)
[5]   Direct measurement of large-scale quantum states via expectation values of non-Hermitian matrices [J].
Bolduc, Eliot ;
Gariepy, Genevieve ;
Leach, Jonathan .
NATURE COMMUNICATIONS, 2016, 7
[6]   Strong Unitary and Overlap Uncertainty Relations: Theory and Experiment [J].
Bong, Kok-Wei ;
Tischler, Nora ;
Patel, Raj B. ;
Wollmann, Sabine ;
Pryde, Geoff J. ;
Hall, Michael J. W. .
PHYSICAL REVIEW LETTERS, 2018, 120 (23)
[7]   Source-Independent Quantum Random Number Generation [J].
Cao, Zhu ;
Zhou, Hongyi ;
Yuan, Xiao ;
Ma, Xiongfeng .
PHYSICAL REVIEW X, 2016, 6 (01)
[8]  
Chen C., 2016, New J. Phys, V18
[9]   Quantum deleting and cloning in a pseudo-unitary system [J].
Chen, Yu-Cheng ;
Gong, Ming ;
Xue, Peng ;
Yuan, Hai-Dong ;
Zhang, Cheng-Jie .
FRONTIERS OF PHYSICS, 2021, 16 (05)
[10]  
Erhart J, 2012, NAT PHYS, V8, P185, DOI [10.1038/nphys2194, 10.1038/NPHYS2194]