南方科技大学知识苑(SUSTech KC): Attaining the Ultimate Precision Limit in Quantum State Estimation

题名	Attaining the Ultimate Precision Limit in Quantum State Estimation
作者	Yang, Yuxiang 1,2,5; Chiribella, Giulio 1,3,4,5; Hayashi, Masahito6,7,8
通讯作者	Yang, Yuxiang
发表日期	2019-05
DOI	10.1007/s00220-019-03433-4
发表期刊	COMMUNICATIONS IN MATHEMATICAL PHYSICS 影响因子和分区
ISSN	0010-3616
EISSN	1432-0916
卷号	368 期号:1页码:223-293
摘要	We derive a bound on the precision of state estimation for finite dimensional quantum systems and prove its attainability in the generic case where the spectrum is non-degenerate. Our results hold under an assumption called local asymptotic covariance, which is weaker than unbiasedness or local unbiasedness. The derivation is based on an analysis of the limiting distribution of the estimator's deviation from the true value of the parameter, and takes advantage of quantum local asymptotic normality, a useful asymptotic characterization of identically prepared states in terms of Gaussian states. We first prove our results for the mean square error of a special class of models, called D-invariant, and then extend the results to arbitrary models, generic cost functions, and global state estimation, where the unknown parameter is not restricted to a local neighbourhood of the true value. The extension includes a treatment of nuisance parameters, i.e. parameters that are not of interest to the experimenter but nevertheless affect the precision of the estimation. As an illustration of the general approach, we provide the optimal estimation strategies for the joint measurement of two qubit observables, for the estimation of qubit states in the presence of amplitude damping noise, and for noisy multiphase estimation.
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	其他
资助项目	JSPS[17H01280] ; JSPS[16KT0017]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000467040500006
出版者	SPRINGER
ESI学科分类	PHYSICS
来源库	Web of Science
引用统计	被引频次[WOS]：60
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/25994
专题	量子科学与工程研究院工学院_计算机科学与工程系
作者单位	1.Univ Hong Kong, Dept Comp Sci, Pok Fu Lam, Pokfulam Rd, Hong Kong, Peoples R China 2.Swiss Fed Inst Technol, Inst Theoret Phys, Zurich, Switzerland 3.Dept Comp Sci, Parks Rd, Oxford OX1 3QD, England 4.Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada 5.Univ Hong Kong, Shenzhen Inst Res & Innovat, 5-F Key Lab Platform Bldg,6 Yuexing 2nd Rd, Shenzhen 518057, Peoples R China 6.Nagoya Univ, Grad Sch Math, Chikusa Ku, Furocho, Nagoya, Aichi 464860, Japan 7.Natl Univ Singapore, Ctr Quantum Technol, 3 Sci Dr 2, Singapore 117542, Singapore 8.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
推荐引用方式 GB/T 7714	Yang, Yuxiang,Chiribella, Giulio,Hayashi, Masahito. Attaining the Ultimate Precision Limit in Quantum State Estimation[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2019,368(1):223-293.
APA	Yang, Yuxiang,Chiribella, Giulio,&Hayashi, Masahito.(2019).Attaining the Ultimate Precision Limit in Quantum State Estimation.COMMUNICATIONS IN MATHEMATICAL PHYSICS,368(1),223-293.
MLA	Yang, Yuxiang,et al."Attaining the Ultimate Precision Limit in Quantum State Estimation".COMMUNICATIONS IN MATHEMATICAL PHYSICS 368.1(2019):223-293.