Measurement-induced Boolean dynamics and controllability for closed quantum networks

doi:10.1016/j.automatica.2020.108816

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	Measurement-induced Boolean dynamics and controllability for closed quantum networks
	Qi, Hongsheng 1,2; Mu, Biqiang 1; Petersen, Ian R.3; Shi, Guodong 4
	2020-04-01
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	114 页码:11
摘要	In this paper, we study dynamical quantum networks which evolve according to Schrodinger equations but subject to sequential local or global quantum measurements. A network of qubits forms a composite quantum system whose state undergoes unitary evolution in between periodic measurements, leading to hybrid quantum dynamics with random jumps at discrete time instances along a continuous orbit. The measurements either act on the entire network of qubits, or only a subset of qubits. First of all, we reveal that this type of hybrid quantum dynamics induces probabilistic Boolean recursions representing the measurement outcomes. With global measurements, it is shown that such resulting Boolean recursions define Markov chains whose state-transitions are fully determined by the network Hamiltonian and the measurement observables. Particularly, we establish an explicit and algebraic representation of the underlying recursive random mapping driving such induced Markov chains. Next, with local measurements, the resulting probabilistic Boolean dynamics is shown to be no longer Markovian. The state transition probability at any given time becomes dependent on the entire history of the sample path, for which we establish a recursive way of computing such non-Markovian probability transitions. Finally, we adopt the classical bilinear control model for the continuous Schrodinger evolution, and show how the measurements affect the controllability of the quantum networks. (C) 2020 Elsevier Ltd. All rights reserved.
关键词	Quantum networks Quantum measurements Bilinear systems Boolean networks
DOI	10.1016/j.automatica.2020.108816
收录类别	SCI
语种	英语
资助项目	National Key R&D Program of China[2018YFA0703800] ; National Natural Science Foundation of China[61873262] ; National Natural Science Foundation of China[61733018] ; Australian Research Council[DP180101805] ; Australian Research Council[DP190103615]
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000519656500009
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50926
专题	中国科学院数学与系统科学研究院
通讯作者	Qi, Hongsheng
作者单位	1.Acad Math & Syst Sci, Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Australian Natl Univ, Res Sch Elect Energy & Mat Engn, Canberra, ACT 0200, Australia 4.Univ Sydney, Australian Ctr Field Robot, Sch Aerosp Mech & Mechatron Engn, Sydney, NSW 2006, Australia
推荐引用方式 GB/T 7714	Qi, Hongsheng,Mu, Biqiang,Petersen, Ian R.,et al. Measurement-induced Boolean dynamics and controllability for closed quantum networks[J]. AUTOMATICA,2020,114:11.
APA	Qi, Hongsheng,Mu, Biqiang,Petersen, Ian R.,&Shi, Guodong.(2020).Measurement-induced Boolean dynamics and controllability for closed quantum networks.AUTOMATICA,114,11.
MLA	Qi, Hongsheng,et al."Measurement-induced Boolean dynamics and controllability for closed quantum networks".AUTOMATICA 114(2020):11.