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. 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

  2. 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

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

  4. 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

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

  6. 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

  7. 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

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

  9. 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

  10. Rapid State-Reduction of Quantum Systems Using Feedback Control 
    J. Combes and K. Jacobs
    Phys. Rev. Lett. 96, 010504 (2006) quant-ph/0508007
     
  11. Optimal feedback control for the rapid preparation of a qubit
    K. Jacobs
    Proc. of SPIE 5468, 355 (2004) quant-ph/0410018
     
  12. 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
     
  13. 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
     
  14. 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
     
  15. How to Project Qubits Faster Using Quantum Feedback
    K. Jacobs
    Phys. Rev. A 67, 030301(R) (2003) quant-ph/0301056
     
  16. Information, disturbance and Hamiltonian quantum feedback control
    A. Doherty, K. Jacobs and G. Jungman 
    Phys. Rev. A 63, 062306 (2001) quant-ph/0006013
     
  17. 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
     
  18. 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
     
  19. 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