Progress of the research on quantum feedback control

[in Chinese]; [in Chinese]

[1] Bennett C H, Divincenzo D P. Quantum information and computation [J]. Nature, 2000, 404: 247-255.

[2] Monroe C. Quantum information processing with atoms and photons [J]. Nature, 2002, 416: 238-246.

[4] D'Alessandro D. Directions in the theory of quantum control [J]. Multidiciplinary Research in Control, LNCIS,2003, 289: 73-80.

[7] Solomon A I, Schrirmer S G. Limitations in quantum control [J]. International Journal of Modern Physics B,2002, 16: 2107-2112.

[9] D‘Alessandro D, Dahleh M. Optimal control of two-level quantum systems [J]. IEEE Trans. Automat. Contr.,2001, 46: 866-876.

[10] Wu R B, et al. Explicitly solvable extremals of time optimal control for 2-level quantum systems [J]. Phys. Lett.A, 2002, 295: 20-24.

[11] Schirmer S G, Pullen I C H, Solomon A I. Controllability of quantum systems [OL]. LANL, arXiv: quantph/0302121, 2003, 1-6.

[12] Yanagisawa M, Kimra H. Transfer function approach to quantum control-part Ⅰ: Dynamics of quantum feedback systems [J]. IEEE Trans. Automat. Contr., 2003, 48(12): 2107-2120.

[13] Doherty A C, Habib S, Jacobs K, et al. Quantum feedback control and classical control theory [J]. Phys. Rev.A, 2000, 62: 012105.

[14] Lloyd S. Coherent quantum feedback [J]. Phys. Rev. A, 2000, 62: 022108.

[15] Haus H A, Yamamoto Y. Theory of feedback-generated states [J]. Phys. Rev. A, 1986, 34: 270-292.

[16] Liebman A, Milburn G J. Quantum-noise reduction in a driven cavity with feedback [J]. Phys. Rev. A, 1993,47(1): 634-638.

[17] Yamamoto Y, Imoto N, Machida S. Amplitude squeezing in a semiconductor laser using quantum nondemolition measurements and negative feedback [J]. Phys. Rev. A, 1986, 33(5): 3243-3261.

[18] Thomsen L K, Mancini S, Wiseman H M. Spin squeezing via quantum feedback [J]. Phys. Rev. A, 2002, 65:061801R.

[19] Tombesi P, Vitali D. Physical realization of an environment with squeezed quantum fluctuations via quantumnondemolition-mediated feedback [J]. Phys. Rev. A, 1994, 50(5): 4253-4257.

[20] Thomsen L K, Wiseman H M. Atom-laser coherence and its control via feedback [J]. Phys. Rev. A, 2002, 65:063607.

[21] Vitali D, Tombesi P, Milburn G J. Controlling the decoherence of a "Meter " via stroboscopic feedback [J].Phys. Rev. Lett., 1997, 79(13): 2442-2445.

[22] Hofmann H F, Mahler G, Hess O. Quantum control of atomic systems by homodyne detection and feedback [J].Phys. Rev. A, 1998, 57(6): 4877-4888.

[23] Tombesi P, Vitali D. Macroscopic coherence via quantum feedback [J]. Phys. Rev. A, 1995, 51(6): 4913-4917.

[24] Horoshko D B, Kilin S Y. Direct detection feedback for preserving quantum coherence in an open cavity [J]. Phys.Rev. Lett., 1997, 78(5): 840-842.

[25] Weinacht T C, Bucksbaum P H. Using feedback for coherent control of quantum systems [J]. J. Opt. B: Quantum Semiclass Opt., 2002, 4: R35-R52.

[26] Liebman A, Milburn G J. Creating number states in the micromaser using feedback [J]. Phys. Rev. A, 1995,51(1): 736-751.

[27] Wiseman H M, Milburn G J. Reduction in laser-intensity fluctuations by a feedback output mirror [J]. Phys. Rev.A, 1992, 46(5): 2853-2858.

[28] Ahn C, Wiseman H M, Milburn G J. Quantum error correction for continuously detected errors [J]. Phys. Rev. A, 2003, 67: 052310.

[29] D‘Urso B, Odom B, Gabrielse G. Feedback cooling of a one-electron oscillator [J]. Phys. Rev. Lett., 2003, 90:043001.

[30] Lloyd S, Slotine J E. Quantum feedback with weak measurements [J]. Phys. Rev. A, 2000, 62: 012307.

[31] Greiner W. Quantum Mechanics: An Introduction (Third Edition) [M]. Springer-Verlag, 1994. 43-415.

[32] Nielsen M A, Chuang I L. Quantum Computation and Quantum Information [M]. Cambridge University Press,2000. 99-389.

[33] Wiseman H M, Milburn G J. Quantum theory of optical feedback via homodyne detection [J]. Phys. Rev. Lett.,1993, 70(5): 548-551.

[34] Wiseman H M, Milburn G J. Squeezing via feedback [J]. Phys. Rev. A, 1994, 49(2): 1350-1366.

[35] Wang J, Wiseman H M. Feedback-stabilization of an arbitrary pure state of a two-level atom [J]. Phys. Rev. A,2001, 64: 063810.

[36] Reiner J E, Wiseman H M, Mabuchi H. Quantum jumps between dressed states: a proposed cavity-QED test using feedback [J]. Phys. Rev. A, 2003, 67: 042106.

[37] Wiseman H M. Quantum theory of continuous feedback [J]. Phys. Rev. A, 1994, 49(3): 2133-2150.

[38] D‘Ariano G M. Universal quantum estimation [J]. Phys. Lett. A, 2000, 268: 151-157.

[39] Gambetta J, Wiseman H M. State and dynamical parameter estimation for open quantum systems [J]. Phys.Rev. A, 2001, 64: 042105.

[40] Doherty A C, Jacobs K. Feedback control of quantum systems using continuous state estimation [J]. Phys. Rev.A, 1999, 60: 2700-2711.

[41] Doherty A C, Habib S, Jungman G. Information, disturbance, and Hamiltonian quantum feedback control [J].Phys. Rev. A, 2001, 63: 062306.

[42] Wiseman H M, Mancini S, Wang J. Bayesian feedback versus Markovian feedback in a two-level atom [J]. Phys.Rev. A, 2002, 66: 013807.

[43] Steck D A, Jacobs K, Mabuchi H, et al. Quantum feedback control of atomic motion in an optical cavity [OL].LANL, arXiv: quantum-ph/0310153, 2003, 1-5.

[44] Hopkins A, Jacobs K, Habib S, et al. Feedback cooling of a nanomechanical resonator [OL]. LANL, arXiv:cond-mat/0302529, 2003, 1-10.

[45] Korotkov A N. Selective quantum evolution of a qubit state due to continuous measurement [J]. Phys. Rev. B,2001, 63: 115403.

[46] Ruskov R, Korotkov A N. Quantum feedback control of a solid-state qubit [J]. Phys. Rev. B, 2002, 041401R.

[47] Giovannetti V, Tombesi P, Vitali D. Non-Markovian quantum feedback from homodyne measurements: the effect of a nonzero feedback delay time [J]. Phys. Rev. A, 1999, 60(2): 1549-1561.

[48] Wang J, Wiseman H M, Milburn G J. Non-Markovian homodyne-mediated feedback on a two-level atom: a quantum trajectory treatment [J]. Chemical Physics, 2001, 268: 221-235.

[49] Warren W S, Rabitz H, Dahleh M. Coherent control of quantum dynamics: the dream is alive [J]. Science, 1993,259: 1581-1589.

[50] Nelson R J, Weinstein Y, Cory D, et al. Experimental demonstration of fully coherent quantum feedback [J].Phys. Rev. Lett., 2000, 85: 3045-3048.

[51] Ting J J L. Alternative method for quantum feedback-control [J]. Superlattices and Microstructures, 2002, 32:331-336.

[52] Yanagisawa M, Kimura H. Transfer function approach to quantum control-part Ⅱ: control concepts and applications [J]. IEEE Trans. Automat. Contr., 2003, 48(12): 2121-2132.