Fidelity-disturbance-entropy tradeoff in quantum channels

doi:https://doi.org/10.1103/PhysRevA.105.062458

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	Fidelity-disturbance-entropy tradeoff in quantum channels
	Y Sun 1; N Li2,3 ; S Luo2,3
	2022-6-29
Source Publication	Physical Review A
ISSN	2469-9926
Volume	105 Issue:6 Pages:062458(9)
Abstract	Quantum channels are indispensable instruments for transmitting, extracting, and processing information. According to the spirit of the Bohr complementarity principle and the Heisenberg uncertainty principle, one expects that there are intrinsic tradeoff relations between state disturbance and information gain for any channel, which indeed have been widely studied and characterized from various angles. In this work, we investigate this issue from the perspective of information conservation. More specifically, we divide the information associated with a channel into three categories: transmitted information (quantified by operation fidelity), disturbance (quantified by the Hilbert-Schmidt norm), and extracted information (quantified by the increase of Tsallis-2 entropy), which are all derived naturally from a channel with direct physical motivations. We reveal basic properties of these three information-theoretic quantities and establish a triality relation between them. As applications, we apply these quantities to shed insights into the Mach-Zehnder interferometry and several prototypical channels.
Keyword	STATE DISTURBANCE INFORMATION GAIN ERROR
Subject Area	Optics ; Physics
DOI	https://doi.org/10.1103/PhysRevA.105.062458
Publisher	AMER PHYSICAL SOC,ONE PHYSICS ELLIPSE,COLLEGE PK,MD 20740-3844
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/61578
Collection	应用数学研究所
Affiliation	1.南京师范大学; 2.中国科学院数学与系统科学研究院; 3.中国科学院大学
Recommended Citation GB/T 7714	Y Sun,N Li,S Luo. Fidelity-disturbance-entropy tradeoff in quantum channels[J]. Physical Review A,2022,105(6):062458(9).
APA	Y Sun,N Li,&S Luo.(2022).Fidelity-disturbance-entropy tradeoff in quantum channels.Physical Review A,105(6),062458(9).
MLA	Y Sun,et al."Fidelity-disturbance-entropy tradeoff in quantum channels".Physical Review A 105.6(2022):062458(9).

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