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Brukner-Zeilinger invariant information in the presence of conjugate symmetry
Li, Nan1,2; Luo, Shunlong1,2; Sun, Yuan3
2022-09-02
Source PublicationPHYSICAL REVIEW A
ISSN2469-9926
Volume106Issue:3Pages:7
AbstractTo 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.
DOI10.1103/PhysRevA.106.032404
Indexed BySCI
Language英语
Funding ProjectNational 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 Research AreaOptics ; Physics
WOS SubjectOptics ; Physics, Atomic, Molecular & Chemical
WOS IDWOS:000863118800010
PublisherAMER PHYSICAL SOC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/60902
Collection应用数学研究所
Corresponding AuthorLi, Nan
Affiliation1.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
Recommended Citation
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.
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