Brukner-Zeilinger invariant information in the presence of conjugate symmetry

doi:10.1103/PhysRevA.106.032404

CSpace > 应用数学研究所

	Brukner-Zeilinger invariant information in the presence of conjugate symmetry
	Li, Nan1,2 ; Luo, Shunlong1,2 ; Sun, Yuan 3
	2022-09-02
发表期刊	PHYSICAL REVIEW A
ISSN	2469-9926
卷号	106 期号:3 页码:7
摘要	To quantify the intrinsic information content in a quantum state, Brukner and Zeilinger introduced the concept of operationally invariant information in terms of the outcome probabilities of measuring a complete set of mutually complementary observables [ C?. Brukner and A. Zeilinger, Phys. Rev. Lett. 83, 3354 (1999)]. This information quantity has basic significance and implications, and the present work is devoted to some further studies of it. We first introduce the Brukner-Zeilinger invariant information in the presence of conjugate symmetry or antisymmetry, which are motivated by considerations of fundamental issues concerning conjugate symmetry in quantum mechanics. Then we prove that both the Brukner-Zeilinger invariant information with conjugate symmetry and that with conjugate antisymmetry are convex in the quantum state, and we show that they constitute a natural decomposition of the Brukner-Zeilinger invariant information. We further relate them to the imaginarity (i.e., the usage of a complex number field) of quantum mechanics and evaluate their extreme values.
DOI	10.1103/PhysRevA.106.032404
收录类别	SCI
语种	英语
资助项目	National Key R&D Program of China[2020YFA0712700] ; National Natural Science Foundation of China[11775298] ; National Natural Science Foundation of China[11875317] ; National Natural Science Foundation of China[12005104] ; National Natural Science Foundation of China[61833010] ; Youth Innovation Promotion Association of CAS[2020002] ; Natural Science Foundation of the Jiangsu Higher Education Institutions of China[20KJB140028]
WOS研究方向	Optics ; Physics
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000863118800010
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60902
专题	应用数学研究所
通讯作者	Li, Nan
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
推荐引用方式 GB/T 7714	Li, Nan,Luo, Shunlong,Sun, Yuan. Brukner-Zeilinger invariant information in the presence of conjugate symmetry[J]. PHYSICAL REVIEW A,2022,106(3):7.
APA	Li, Nan,Luo, Shunlong,&Sun, Yuan.(2022).Brukner-Zeilinger invariant information in the presence of conjugate symmetry.PHYSICAL REVIEW A,106(3),7.
MLA	Li, Nan,et al."Brukner-Zeilinger invariant information in the presence of conjugate symmetry".PHYSICAL REVIEW A 106.3(2022):7.