Quantum Markov chains: Description of hybrid systems, decidability of equivalence, and model checking linear-time properties

doi:10.1016/j.ic.2015.07.001

	Quantum Markov chains: Description of hybrid systems, decidability of equivalence, and model checking linear-time properties
	Li, Lvzhou 1,2,4; Feng, Yuan 2,3
刊名	INFORMATION AND COMPUTATION
	2015-10-01
卷号	244 页码:229-244
关键词	Quantum Markov chains Hybrid systems Quantum automata Equivalence Model checking Linear-time property
ISSN号	0890-5401
DOI	10.1016/j.ic.2015.07.001
英文摘要	In this paper, we study a model of quantum Markov chains that is a quantum analogue of Markov chains and is obtained by replacing probabilities in transition matrices with quantum operations. We show that this model is very suited to describe hybrid systems that consist of a quantum component and a classical one. Indeed, hybrid systems are often encountered in quantum information processing. Thus, we further propose a model called hybrid quantum automata (HQA) that can be used to describe the hybrid systems receiving inputs (actions) from the outer world. We show the language equivalence problem of HQA is decidable in polynomial time. Furthermore, we apply this result to the trace equivalence problem of quantum Markov chains, and thus it is also decidable in polynomial time. Finally, we discuss model checking linear-time properties of quantum Markov chains, and show the quantitative analysis of regular safety properties can be addressed successfully. (C) 2015 Elsevier Inc. All rights reserved.
资助项目	National Natural Science Foundation of China[61100001] ; National Natural Science Foundation of China[61472452] ; National Natural Science Foundation of China[61272058] ; National Natural Science Foundation of China[61428208] ; National Natural Science Foundation of China[61472412] ; National Natural Science Foundation of Guangdong Province of China[2014A030313157] ; Australian Research Council[DP130102764] ; CAS-SAFEA International Partnership Program for Creative Research Teams
WOS研究方向	Computer Science ; Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000362058100010
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/20884]
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Lvzhou
作者单位	1.Sun Yat Sen Univ, Dept Comp Sci, Guangzhou 510006, Guangdong, Peoples R China 2.Univ Technol Sydney, FEIT, Ctr Quantum Computat & Intelligent Syst, Sydney, NSW 2007, Australia 3.Chinese Acad Sci, AMSS UTS Joint Res Lab Quantum Computat, Beijing, Peoples R China 4.Sun Yat Sen Univ, Guangdong Key Lab Informat Secur Technol, Guangzhou 510006, Guangdong, Peoples R China
推荐引用方式 GB/T 7714	Li, Lvzhou,Feng, Yuan. Quantum Markov chains: Description of hybrid systems, decidability of equivalence, and model checking linear-time properties[J]. INFORMATION AND COMPUTATION,2015,244:229-244.
APA	Li, Lvzhou,&Feng, Yuan.(2015).Quantum Markov chains: Description of hybrid systems, decidability of equivalence, and model checking linear-time properties.INFORMATION AND COMPUTATION,244,229-244.
MLA	Li, Lvzhou,et al."Quantum Markov chains: Description of hybrid systems, decidability of equivalence, and model checking linear-time properties".INFORMATION AND COMPUTATION 244(2015):229-244.