Fisher-Symmetric Informationally Complete Measurements for Pure States

doi:10.1103/PhysRevLett.116.180402

CSpace > 应用数学研究所

	Fisher-Symmetric Informationally Complete Measurements for Pure States
	Li, Nan1,2 ; Ferrie, Christopher 1,3; Gross, Jonathan A.1; Kalev, Amir 1; Caves, Carlton M.1,4
	2016-05-05
发表期刊	PHYSICAL REVIEW LETTERS
ISSN	0031-9007
卷号	116 期号:18 页码:5
摘要	We introduce a new kind of quantum measurement that is defined to be symmetric in the sense of uniform Fisher information across a set of parameters that uniquely represent pure quantum states in the neighborhood of a fiducial pure state. The measurement is locally informationally complete-i.e., it uniquely determines these parameters, as opposed to distinguishing two arbitrary quantum states-and it is maximal in the sense of a multiparameter quantum Cramer-Rao bound. For a d-dimensional quantum system, requiring only local informational completeness allows us to reduce the number of outcomes of the measurement from a minimum close to but below 4d - 3, for the usual notion of global pure-state informational completeness, to 2d - 1.
DOI	10.1103/PhysRevLett.116.180402
语种	英语
资助项目	US National Science Foundation[PHY-1212445] ; US National Science Foundation[PHY-1521016] ; US Office of Naval Research[N00014-15-1-2167] ; National Natural Science Foundation of China[11405262] ; National Natural Science Foundation of China[61134008] ; National Natural Science Foundation of China[11375259] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences[Y029152K51] ; Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182] ; Canadian Government through the NSERC PDF program ; IARPA MQCO program ; Australian Research Council[CE11001013] ; U.S. Army Research Office[W911NF-14-1-0098] ; U.S. Army Research Office[W911NF-14-1-0103]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000375669300001
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22675
专题	应用数学研究所
通讯作者	Li, Nan; Ferrie, Christopher; Gross, Jonathan A.; Kalev, Amir; Caves, Carlton M.
作者单位	1.Univ New Mexico, Ctr Quantum Informat & Control, Albuquerque, NM 87131 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Sydney, Sch Phys, Ctr Engn Quantum Syst, Sydney, NSW 2006, Australia 4.Univ Queensland, Sch Math & Phys, Ctr Engineered Quantum Syst, Brisbane, Qld 4072, Australia
推荐引用方式 GB/T 7714	Li, Nan,Ferrie, Christopher,Gross, Jonathan A.,et al. Fisher-Symmetric Informationally Complete Measurements for Pure States[J]. PHYSICAL REVIEW LETTERS,2016,116(18):5.
APA	Li, Nan,Ferrie, Christopher,Gross, Jonathan A.,Kalev, Amir,&Caves, Carlton M..(2016).Fisher-Symmetric Informationally Complete Measurements for Pure States.PHYSICAL REVIEW LETTERS,116(18),5.
MLA	Li, Nan,et al."Fisher-Symmetric Informationally Complete Measurements for Pure States".PHYSICAL REVIEW LETTERS 116.18(2016):5.