详细论述了量子系统控制理论从提出到现在近二十年的发展过程.首先介绍了量子系统可控性的研究及其进展,并简要分析了简单量子系统的开环控制方法,然后把重点放在学习控制和反馈控制等几种典型闭环控制方法的讨论上,分析了它们各自的优缺点,并根据量子控制的发展趋势,对其应用和发展前景进行了预测,从整体上系统地描述了建立一套完整的量子控制系统所需要的五个基本步骤,最后在此基础上提出了制约量子系统控制发展的几个关键性问题.
参考文献
| [1] | Huang G M, Tarn T J. On the controllability of quantum-mechanical systems [J]. Math. Phys., 1983, 11, 24(11):2608-2618 |
| [2] | Ong C K, Huang G M, Tarn T J et al. Invertibility of quantum-mechanical control systems [J]. Mathematical Systems Theory, 1984, 17:335-350 |
| [3] | Clark J W, Ong C K, Tarn T J et al. Quantum nondemolition filters [J]. Mathematical Systems Theory, 1985,18:33-35 |
| [4] | Peirce A P, Dahleh M A. Optimal control of quantum-mechanical systems: Existence, numerical approximation and applications [J]. Physical Review, 1988, 6, 37(12): 4950-4956 |
| [5] | Warren W S, Rabitz H, Dahleh M. Coherent control of quantum dynamics: The dream is alive [J]. Science,1993. 3, 259(12): 1581-1585 |
| [6] | Lloyd S. Quantum controllers for quantum systems [DK]. eprint: quant-ph/9703042. |
| [7] | Claudio A. Controllability of quantum mechanical systems by root space decomposition of su(N) [J]. Journal of Mathematical Physics, 2000, 43(5): 2051-2062 |
| [8] | Doherty A D, Doyle J, Mabuchi H et al. Robust control in the quantum domain [C] // IEEE International Conference on Decision and Control. 2000. 949-954 |
| [9] | Shi Shenghua, Rabitz H. Selective excitation in harmonic molecular systems by optimally designed fields [J]. Chemical Physics, 1989, 139:185-199 |
| [10] | Kosloff R, Rice S A, Gaspard P et al. Wavepacket Dancing: Achieving chemical selectivity by shaping light pulses [J]. Chemical Physics, 1989, 139:201-220 |
| [11] | Juson R S, Rabitz H. Teaching lasers to control molecules [J] Phys. Rev. Lett., 1992, 68:1500 |
| [12] | Ardeen C J B, Yakovlev V V, Wilson K R et al. Feedback quantum control of molecular electronic population transfer [J]. Chem. Phys. Lett., 1997, 280:151 |
| [13] | Assion A, Baumert M B, Brixner Tet al. Molecular bond length control by phase shaped femtosecond laser pulses [J]. Science, 1998, 282:919 |
| [14] | Gross P, Neuhauser D, Rabitz H. Teaching lasers to control molecules in the presence of laboratory field uncertainty and measurement imprecision [J]. Chem. Phys., 1993, 98:4557 |
| [15] | Phan M Q, Rabitz H. A self-guided algorithm for learning control of quantum-mechanical systems [J]. Chem.Phys., 1999, 34:110 |
| [16] | Rabitz H. Algorithms for closed loop control of quantum dynamics [C] // IEEE International Conference on Decision and Control. 2000. 937-941 |
| [17] | Duan Luming, Guo Guangcan. Probalilistic cloning and identification of linearly independent quantum states [J]. Physics Letters A, 1998. 6,80(22): 4999-5002 |
| [18] | Doherty A C, Jacobs K. Feedback-control of quantum systems using continuous state-estimation [J]. Phys. Rev.A, 1999, 60:2700 |
| [19] | Zhang Chuanwei, Li Chuanfeng, Guo Guangcan. General strategies for discrimination of quantum states [J].Physics Letters A, 1999, 261:25-29 |
| [20] | Zhang Chuanwei, Li Chuanfeng, Guo Guangcan. Quantum clone and states estimation for n-state system [J].Physics Letters A, 2000, 271:31-34 |
| [21] | Doherty A C, Tan S M, Parkins A S et al. State determination in continuous measurement [J]. Phys. Rev. A,1999, 60:21384 |
| [22] | Doherty A C, Habib S, Jacobs K. Quantum feedback control and classical control theory [J]. Phys. Rev. A,2000, 62(1): 012105 |
| [23] | Doherty A C, Jacobs K, Jungman G. Information, disturbance and Hamiltonian quantum feedback control [DK].eprint:quant-ph/0006013 |
| [24] | Ahn C, Doherty A C, Landahl A J. Continuous quantum error correction via quantum feedback control [DK].eprint:quant-ph/0110111 |
| [25] | Alessandro D D, Dahleh M. Optimal control of two-level quantum systems [C] // IEEE trans on automation control. 2001. 6,46(6): 866-876 |
| [26] | Su Rukeng.Atom Physics(原子物理)[M].Shanghai:Fudan University Press,1997.(in Chinese) |
| [27] | Zeng Jinyan.Quantum Mechanics(量子力学)[M].Beijing:Science Press,1997.(in Chinese) |
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