Fidelity-disturbance-entropy tradeoff in quantum channels

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

CSpace > 应用数学研究所

	Fidelity-disturbance-entropy tradeoff in quantum channels
	Y Sun 1; N Li2,3 ; S Luo2,3
	2022-06-29
发表期刊	Physical Review A
ISSN	2469-9926
卷号	105 期号:6 页码:062458(9)
摘要	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.
关键词	STATE DISTURBANCE INFORMATION GAIN ERROR
学科领域	Optics ; Physics
DOI	https://doi.org/10.1103/PhysRevA.105.062458
出版者	AMER PHYSICAL SOC,ONE PHYSICS ELLIPSE,COLLEGE PK,MD 20740-3844
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61578
专题	应用数学研究所
作者单位	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
推荐引用方式 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).