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TOTAL, CLASSICAL AND QUANTUM UNCERTAINTIES GENERATED BY CHANNELS

文献类型：期刊论文

作者Liu, Yizhou2; Luo, Shunlong1,3; Sun, Yuan4
刊名THEORETICAL AND MATHEMATICAL PHYSICS
出版日期2022-11-01
卷号213期号:2页码:1613-1631
关键词channel total uncertainty classical uncertainty quantum uncertainty Wigner-Yanase skew information disturbance
ISSN号0040-5779
DOI10.1134/S0040577922110071
英文摘要States and channels are fundamental and instrumental ingredients of quantum mechanics. Their interplay not only encodes information about states but also reflects uncertainties of channels. In order to quantify intrinsic uncertainties generated by channels, we exploit the action of a channel on an orthonormal basis in the space of observables from three different perspectives. The first concerns the uncertainty generated by a channel via noncommutativity between the Kraus operators of the channel and an orthonormal basis of observables, which can be interpreted as a kind of quantifier of the total uncertainty generated by a channel. The second concerns the uncertainty in terms of the Tsallis-2 entropy of the Jamiolkowski-Choi state associated with the channel via the channel-state duality, which can be interpreted as a quantifier of the classical uncertainty generated by a channel. The third concerns the uncertainty of a channel as the deviation from the identity channel in terms of the Hilbert-Schmidt distance, which can be interpreted as a kind of quantifier of the quantum uncertainty generated by a channel. We reveal basic properties of these quantifiers of uncertainties and establish a relation between them. We identify channels producing the minimal/maximal uncertainties for these three quantifiers. Finally, we explicitly evaluate these uncertainty quantifiers for various important channels, use them to gain insights into the channels from an information-theoretic perspective, and comparatively study the quantifiers.
资助项目National Key R&D Program of China[2020YFA0712700] ; National Natural Science Foundation of China[11875317] ; National Natural Science Foundation of China[61833010] ; Natural Science Foundation of the Jiangsu Higher Education Institutions of China[20KJB140028]
WOS研究方向Physics
语种英语
WOS记录号WOS:000887021700007
出版者MAIK NAUKA/INTERPERIODICA/SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60586]  
专题应用数学研究所
通讯作者Luo, Shunlong
作者单位1.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
2.Tsinghua Univ, Dept Engn Mech, Beijing, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
4.Nanjing Normal Univ, Sch Math Sci, Nanjing, Peoples R China
推荐引用方式
GB/T 7714		 Liu, Yizhou,Luo, Shunlong,Sun, Yuan. TOTAL, CLASSICAL AND QUANTUM UNCERTAINTIES GENERATED BY CHANNELS[J]. THEORETICAL AND MATHEMATICAL PHYSICS,2022,213(2):1613-1631.
APA Liu, Yizhou,Luo, Shunlong,&Sun, Yuan.(2022).TOTAL, CLASSICAL AND QUANTUM UNCERTAINTIES GENERATED BY CHANNELS.THEORETICAL AND MATHEMATICAL PHYSICS,213(2),1613-1631.
MLA Liu, Yizhou,et al."TOTAL, CLASSICAL AND QUANTUM UNCERTAINTIES GENERATED BY CHANNELS".THEORETICAL AND MATHEMATICAL PHYSICS 213.2(2022):1613-1631.

入库方式： OAI收割

来源：数学与系统科学研究院

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