KMS Of Academy of mathematics and systems sciences, CAS
| Measurement-induced Boolean dynamics and controllability for closed quantum networks | |
| Qi, Hongsheng1,2; Mu, Biqiang1; Petersen, Ian R.3; Shi, Guodong4 | |
| 2020-04-01 | |
| Source Publication | AUTOMATICA
 |
| ISSN | 0005-1098 |
| Volume | 114Pages:11 |
| Abstract | 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. |
| Keyword | Quantum networks Quantum measurements Bilinear systems Boolean networks |
| DOI | 10.1016/j.automatica.2020.108816 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Automation & Control Systems ; Engineering |
| WOS Subject | Automation & Control Systems ; Engineering, Electrical & Electronic |
| WOS ID | WOS:000519656500009 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/50926 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Qi, Hongsheng |
| Affiliation | 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 |
| Recommended Citation 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. |
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