南方科技大学知识苑(SUSTech KC): Asymptotic and non-asymptotic analysis for a hidden Markovian process with a quantum hidden system

题名	Asymptotic and non-asymptotic analysis for a hidden Markovian process with a quantum hidden system
作者	Hayashi, Masahito1,2,3 ; Yoshida, Yuuya 1
通讯作者	Hayashi, Masahito
发表日期	2018-08-17
DOI	10.1088/1751-8121/aacde9
发表期刊	Journal of Physics A-Mathematical and Theoretical 影响因子和分区
ISSN	1751-8113
EISSN	1751-8121
卷号	51 期号:33
摘要	We focus on a data sequence produced by repetitive quantum measurement on an internal hidden quantum system, and call it a hidden Markovian process. Using a quantum version of the Perron-Frobenius theorem, we derive novel upper and lower bounds for the cumulant generating function of the sample mean of the data. Using these bounds, we derive the central limit theorem and large and moderate deviations for the tail probability. Then, we give the asymptotic variance by using the second derivative of the cumulant generating function. We also derive another expression for the asymptotic variance by considering the quantum version of the fundamental matrix. Further, we explain how to extend our results to a general probabilistic system.
关键词	quantum system hidden Markov central limit theorem large deviation moderate deviation asymptotic variance
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	通讯
资助项目	JSPS[16KT0017] ; JSPS[17H01280]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000438497400002
出版者	IOP PUBLISHING LTD
来源库	Web of Science
引用统计	被引频次[WOS]：2
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/27361
专题	量子科学与工程研究院
作者单位	1.Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan 2.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China 3.Natl Univ Singapore, Ctr Quantum Technol, 3 Sci Dr 2, Singapore 117542, Singapore
第一作者单位	量子科学与工程研究院
通讯作者单位	量子科学与工程研究院
推荐引用方式 GB/T 7714	Hayashi, Masahito,Yoshida, Yuuya. Asymptotic and non-asymptotic analysis for a hidden Markovian process with a quantum hidden system[J]. Journal of Physics A-Mathematical and Theoretical,2018,51(33).
APA	Hayashi, Masahito,&Yoshida, Yuuya.(2018).Asymptotic and non-asymptotic analysis for a hidden Markovian process with a quantum hidden system.Journal of Physics A-Mathematical and Theoretical,51(33).
MLA	Hayashi, Masahito,et al."Asymptotic and non-asymptotic analysis for a hidden Markovian process with a quantum hidden system".Journal of Physics A-Mathematical and Theoretical 51.33(2018).