Quantum Feedback Control Kurt Jacobs


Feedback control is the process of monitoring a system and using the information, as it is being obtained (that is, in real-time) to apply forces to the system to control it's behavior. Generally the objective is to get the system to maintain a desired evolution in the presence of noise or other uncertainties. The subject of feedback control in classical systems is well-developed, and feedback control is essential in many electrical and mechanical devices.  The application of feedback control to quantum systems is the subject of quantum feedback control.

A short review for a general physics audience is given in:

Quantum Feedback Control: How can we control quantum systems without disturbing them? 
S. Habib, K. Jacobs and Hideo Mabuchi:
Los Alamos Science 27, 126 (2002) [pdf]

Publications and Eprints

    1. Non-Markovian quantum input-output networks 
      J. Zhang, Y.-X. Liu, R.-B. Wu, K. Jacobs, and F. Nori
      Phys. Rev. A 87, 032117 (2013) arXiv:1208.4720

    2. Absolute Dynamical Limit to Cooling Weakly-Coupled Quantum Systems 
      X. Wang, S. Vinjanampathy, F. W. Strauch, and K. Jacobs
      Phys. Rev. Lett. 110, 157207 (2013) arXiv:1205.3456

    3. Ultra-Efficient Cooling of Resonators: Beating Sideband Cooling with Quantum Control
      X. Wang, S. Vinjanampathy, F. W. Strauch, and K. Jacobs
      Phys. Rev. Lett. 107, 177204 (2011) arXiv:1103.5750

    4. Frequency Tracking and Parameter Estimation for Robust Quantum State-Estimation
      J. F. Ralph, K. Jacobs, and C. D. Hill
      Phys. Rev. A 84, 052119 (2011) arXiv:0907.5034

    5. Real-Time Feedback Control of a Mesoscopic Superposition
      K. Jacobs, J. Finn, and S. Vinjanampathy
      Phys. Rev. A 83, 041801(R) (2011) arXiv:1103.4332

    6. The Equations of Quantum Feedback Control in the Regime of Good Control
      J. li and K. Jacobs
      Quantum Inform. Compu. 9, 395 (2009) arXiv:0901.2152 

    7. Quantum Feedback Control: How to Use Verification Theorems and Viscosity Solutions to Find Optimal Protocols 
      K. Jacobs and A. Shabani 
      Contemp. Phys., in press (2008) arXiv:0808.1102

    8. Locally Optimal Control of Quantum Systems with Strong Feedback
      A. Shabani and K. Jacobs 
      Phys. Rev. Lett. 101, 230403 (2008) arXiv:0803.2705

    9. Rapid Measurement of Quantum Systems Using Feedback Control
      J. Combes, H. M. Wiseman and K. Jacobs 
      Phys. Rev. Lett. 100, 160503 (2008) arXiv:0712.3620

    10. Rapid-purification protocols for optical homodyning
      A. Chiruvelli and K. Jacobs 
      Phys. Rev. A 77, 012102 (2008) arXiv:0709.3867

    11. Feedback Control of Non-linear Quantum Systems: a Rule of Thumb
      K. Jacobs and A. P. Lund 
      Phys. Rev. Lett. 99, 020501 (2007) quant-ph/0701036

    12. Rapid state-purification protocols for a Cooper-pair box
      E. J. Griffith, C. D. Hill, J. F. Ralph, H. M. Wiseman, and K. Jacobs 
      Phys. Rev. B 75, 014511 (2007) quant-ph/0610044

    13. Feedback control for communication with non-orthogonal states
      K. Jacobs
      Quantum Inf. Comp. 7, 127 (2007) quant-ph/0601162

    14. Feedback Cooling of Atomic Motion in Cavity QED
      D.A. Steck, K. Jacobs, H. Mabuchi, S. Habib and T. Bhattacharya
      Phys. Rev. A 74, 012322 (2006) quant_ph/0509039

    15. Rapid State-Reduction of Quantum Systems Using Feedback Control 
      J. Combes and K. Jacobs
      Phys. Rev. Lett. 96, 010504 (2006) quant-ph/0508007
       
    16. Optimal feedback control for the rapid preparation of a qubit
      K. Jacobs
      Proc. of SPIE 5468, 355 (2004) quant-ph/0410018
       
    17. A practical scheme for error control using feedback
      M. Sarovar, C. Ahn, K. Jacobs, G.J. Milburn
      Phys. Rev. A 69, 052324 (2004) quant-ph/0402017
       
    18. Quantum Feedback Control of Atomic Motion in an Optical Cavity
      D.A. Steck, K. Jacobs, H. Mabuchi, S. Habib and T. Bhattacharya
      Phys. Rev. Lett. 92, 223004 (2004) quant_ph/0310153
       
    19. Feedback Cooling of a Nano-Mechanical Resonator
      A. Hopkins, K. Jacobs, S. Habib and K. Schwab:
      Phys. Rev. B 68, 235328 (2003) cond-mat/0302529
       
    20. How to Project Qubits Faster Using Quantum Feedback
      K. Jacobs
      Phys. Rev. A 67, 030301(R) (2003) quant-ph/0301056
       
    21. Information, disturbance and Hamiltonian quantum feedback control
      A. Doherty, K. Jacobs and G. Jungman 
      Phys. Rev. A 63, 062306 (2001) quant-ph/0006013
       
    22. Robust control in the quantum domain
      A. Doherty, John Doyle, K. Jacobs, S. Habib and H. Mabuchi
      Proceedings of the IEEE Conference on Decision and Control, vol.1, 949-954 (2000) quant-ph/0105018
       
    23. Quantum feedback control and classical control theory
      A. Doherty, S. Habib, K. Jacobs, H. Mabuchi and S.M. Tan
      Phys. Rev. A 62, 012105 (2000) quant-ph/9912107
       
    24. Feedback-control of quantum systems using continuous state-estimation
      A. Doherty and K. Jacobs
      Phys Rev. A 60, 2700-2710 (1999) quant-ph/9812004
       
    Kurt Jacobs / Department of Physics / Umass Boston