Global stabilization control of stochastic quantum systems
The global stabilization control of arbitrary eigenstates for finite dimensional stochastic quantum systems with non-diagonal free Hamiltonian and non-regular measurement operator is studied in this paper. We propose a switching feedback control law, in which a constant control is used to steer the...
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Veröffentlicht in: | Science China. Information sciences 2016-11, Vol.59 (11), p.204-215, Article 112502 |
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description | The global stabilization control of arbitrary eigenstates for finite dimensional stochastic quantum systems with non-diagonal free Hamiltonian and non-regular measurement operator is studied in this paper. We propose a switching feedback control law, in which a constant control is used to steer the system state to a convergence domain, and another control law designed based on Lyapunov stability theorem, is used to attract the states in the convergence domain to the desired target state. The convergence to an arbitrary target eigenstate from any initial state is strictly proved. Moreover, numerical simulation experiments on a three-dimensional stochastic quantum system are implemented to demonstrate the effectiveness of the proposed control. |
doi_str_mv | 10.1007/s11432-015-0911-7 |
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Moreover, numerical simulation experiments on a three-dimensional stochastic quantum system are implemented to demonstrate the effectiveness of the proposed control.</description><subject>Computer Science</subject><subject>Control systems</subject><subject>Control theory</subject><subject>Convergence</subject><subject>Eigenvectors</subject><subject>Feedback control</subject><subject>Information Systems and Communication Service</subject><subject>Quantum theory</subject><subject>Research Paper</subject><subject>Stabilization</subject><issn>1674-733X</issn><issn>1869-1919</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp9UEtLAzEQDqJgqf0B3hY9R2eSTbLxJkWrUPCi4C1kH223bDdtkj3UX29ki96cywwz34P5CLlGuEMAdR8Qc84ooKCgEak6IxMspKaoUZ-nWaqcKs4_L8kshC2k4hyYKibkYdG50nZZiLZsu_bLxtb1WeX66F2XuVU6uGpjQ2yr7DDYPg67LBxDbHbhilysbBea2alPycfz0_v8hS7fFq_zxyWteCEjraHmTFVS6FzkytocZam5RGB5IWzBm6bkJYComWUF8FwgViItlQJeM6b5lNyOunvvDkMTotm6wffJ0jCNhcgllzKhcERV3oXgm5XZ-3Zn_dEgmJ-UzJiSSSmZn5SMShw2ckLC9uvG_yn_R7o5GW1cvz4k3q-TVJB-ZAL4N8kzc8k</recordid><startdate>20161101</startdate><enddate>20161101</enddate><creator>Cong, Shuang</creator><creator>Wen, Jie</creator><creator>Kuang, Sen</creator><creator>Meng, Fangfang</creator><general>Science China Press</general><general>Springer Nature B.V</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>W92</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope></search><sort><creationdate>20161101</creationdate><title>Global stabilization control of stochastic quantum systems</title><author>Cong, Shuang ; Wen, Jie ; Kuang, Sen ; Meng, Fangfang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c386t-d0d327c6594547aa416b936102485a83eeb3b005d2a28034511c5eeb7703d2293</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Computer Science</topic><topic>Control systems</topic><topic>Control theory</topic><topic>Convergence</topic><topic>Eigenvectors</topic><topic>Feedback control</topic><topic>Information Systems and Communication Service</topic><topic>Quantum theory</topic><topic>Research Paper</topic><topic>Stabilization</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Cong, Shuang</creatorcontrib><creatorcontrib>Wen, Jie</creatorcontrib><creatorcontrib>Kuang, Sen</creatorcontrib><creatorcontrib>Meng, Fangfang</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库-工程技术</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection (ProQuest)</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><jtitle>Science China. 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We propose a switching feedback control law, in which a constant control is used to steer the system state to a convergence domain, and another control law designed based on Lyapunov stability theorem, is used to attract the states in the convergence domain to the desired target state. The convergence to an arbitrary target eigenstate from any initial state is strictly proved. Moreover, numerical simulation experiments on a three-dimensional stochastic quantum system are implemented to demonstrate the effectiveness of the proposed control.</abstract><cop>Beijing</cop><pub>Science China Press</pub><doi>10.1007/s11432-015-0911-7</doi><tpages>12</tpages></addata></record> |
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source | Springer Nature - Complete Springer Journals; Alma/SFX Local Collection; ProQuest Central |
subjects | Computer Science Control systems Control theory Convergence Eigenvectors Feedback control Information Systems and Communication Service Quantum theory Research Paper Stabilization |
title | Global stabilization control of stochastic quantum systems |
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