TOTAL, CLASSICAL AND QUANTUM UNCERTAINTIES GENERATED BY CHANNELS

doi:10.1134/S0040577922110071

CSpace > 应用数学研究所

	TOTAL, CLASSICAL AND QUANTUM UNCERTAINTIES GENERATED BY CHANNELS
	Liu, Yizhou 1; Luo, Shunlong2,3 ; Sun, Yuan 4
	2022-11-01
发表期刊	THEORETICAL AND MATHEMATICAL PHYSICS
ISSN	0040-5779
卷号	213 期号:2 页码:1613-1631
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.
关键词	channel total uncertainty classical uncertainty quantum uncertainty Wigner-Yanase skew information disturbance
DOI	10.1134/S0040577922110071
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[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
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000887021700007
出版者	MAIK NAUKA/INTERPERIODICA/SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60587
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	1.Tsinghua Univ, Dept Engn Mech, Beijing, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 3.Univ Chinese Acad Sci, Sch Math 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.