LEADER 05928nam 2200685 450 001 9910819755503321 005 20230803195621.0 010 $a1-118-60815-1 010 $a1-118-60813-5 010 $a1-118-60814-3 035 $a(CKB)2670000000547207 035 $a(EBL)1656360 035 $a(SSID)ssj0001131935 035 $a(PQKBManifestationID)11674013 035 $a(PQKBTitleCode)TC0001131935 035 $a(PQKBWorkID)11146322 035 $a(PQKB)10083116 035 $a(OCoLC)859253564 035 $a(MiAaPQ)EBC1656360 035 $a(DLC) 2013039816 035 $a(Au-PeEL)EBL1656360 035 $a(CaPaEBR)ebr10851692 035 $a(CaONFJC)MIL584587 035 $a(OCoLC)875097012 035 $a(EXLCZ)992670000000547207 100 $a20140409h20142014 by 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aControl of quantum systems $etheory and methods /$fShuang Cong 210 1$aSingapore :$cJohn Wiley & Sons,$d2014. 210 4$dİ2014 215 $a1 online resource (445 p.) 300 $aDescription based upon print version of record. 311 $a1-118-60812-7 320 $aIncludes bibliographical references and index. 327 $aCover; Title Page; Copyright; Contents; About the Author; Preface; Chapter 1 Introduction; 1.1 Quantum States; 1.2 Quantum Systems Control Models; 1.2.1 Schro?dinger Equation; 1.2.2 Liouville Equation; 1.2.3 Markovian Master Equations; 1.2.4 Non-Markovian Master Equations; 1.3 Structures of Quantum Control Systems; 1.4 Control Tasks and Objectives; 1.5 System Characteristics Analyses; 1.5.1 Controllability; 1.5.2 Reachability; 1.5.3 Observability; 1.5.4 Stability; 1.5.5 Convergence; 1.5.6 Robustness; 1.6 Performance of Control Systems; 1.6.1 Probability; 1.6.2 Fidelity; 1.6.3 Purity 327 $a1.7 Quantum Systems Control 1.7.1 Description of Control Problems; 1.7.2 Quantum Control Theory and Methods; 1.8 Overview of the Book; References; Chapter 2 State Transfer and Analysis of Quantum Systems on the Bloch Sphere; 2.1 Analysis of a Two-level Quantum System State; 2.1.1 Pure State Expression on the Bloch Sphere; 2.1.2 Mixed States in the Bloch Sphere; 2.1.3 Control Trajectory on the Bloch Sphere; 2.2 State Transfer of Quantum Systems on the Bloch Sphere; 2.2.1 Control of a Single Spin-1/2 Particle; 2.2.2 Situation with the Minimum ?t of Control Fields 327 $a2.2.3 Situation with a Fixed Time T2.2.4 Numerical Simulations and Results Analyses; References; Chapter 3 Control Methods of Closed Quantum Systems; 3.1 Improved Optimal Control Strategies Applied in Quantum Systems; 3.1.1 Optimal Control of Quantum Systems; 3.1.2 Improved Quantum Optimal Control Method; 3.1.3 Krotov-Based Method of Optimal Control; 3.1.4 Numerical Simulation and Performance Analysis; 3.2 Control Design of High-Dimensional Spin-1/2 Quantum Systems; 3.2.1 Coherent Population Transfer Approaches 327 $a3.2.2 Relationships between the Hamiltonian of Spin-1/2 Quantum Systems under Control and the Sequence of Pulses 3.2.3 Design of the Control Sequence of Pulses; 3.2.4 Simulation Experiments of Population Transfer; 3.3 Comparison of Time Optimal Control for Two-Level Quantum Systems; 3.3.1 Description of System Model; 3.3.2 Geometric Control; 3.3.3 Bang-Bang Control; 3.3.4 Time Comparisons of Two Control Strategies; 3.3.5 Numerical Simulation Experiments and Results Analyses; References; Chapter 4 Manipulation of Eigenstates-Based on Lyapunov Method 327 $a4.1 Principle of the Lyapunov Stability Theorem 4.2 Quantum Control Strategy Based on State Distance; 4.2.1 Selection of the Lyapunov Function; 4.2.2 Design of the Feedback Control Law; 4.2.3 Analysis and Proof of the Stability; 4.2.4 Application to a Spin-1/2 Particle System; 4.3 Optimal Quantum Control Based on the Lyapunov Stability Theorem; 4.3.1 Description of the System Model; 4.3.2 Optimal Control Law Design and Property Analysis; 4.3.3 Simulation Experiments and the Results Comparisons; 4.4 Realization of the Quantum Hadamard Gate Based on the Lyapunov Method; 4.4.1 Mathematical Model 327 $a4.4.2 Realization of the Quantum Hadamard Gate 330 $a"Control of Quantum Systems: Theory and Methods provides an insight into the modern approaches to control of quantum systems evolution, with a focus on both closed and open (dissipative) quantum systems. The topic is timely covering the newest research in the field, and presents and summarizes practical methods and addresses the more theoretical aspects of control, which are of high current interest, but which are not covered at this level in other text books. The quantum control theory and methods written in the book are the results of combination of macro-control theory and microscopic quantum system features. As the development of the nanotechnology progresses, the quantum control theory and methods proposed today are expected to be useful in real quantum systems within five years. The progress of the quantum control theory and methods will promote the progress and development of quantum information, quantum computing, and quantum communication"--$cProvided by publisher. 330 $a"Control of Quantum Systems: Theory and Methods provides an insight into the modern approaches to control of quantum systems evolution, with a focus on both closed and open (dissipative) quantum systems"--$cProvided by publisher. 606 $aQuantum systems$xAutomatic control 606 $aControl theory 615 0$aQuantum systems$xAutomatic control. 615 0$aControl theory. 676 $a530.1201/1 686 $aTEC032000$2bisacsh 700 $aCong$b Shuang$01665970 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910819755503321 996 $aControl of quantum systems$94024959 997 $aUNINA