Coherent feedback that beats all measurement-based feedback protocols

New Journal of Physics

Volumn 16, Issue , 2014, Pages

  Jacobs, Kurt ^a,b,c   Wang, Xiaoting ^a,b,d   Wiseman, Howard M ^e  

^a RIKEN   (Japan)

^b UNIVERSITY OF MASSACHUSETTS BOSTON   (United States)

^c LOUISIANA STATE UNIVERSITY   (United States)

^d MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^e GRIFFITH UNIVERSITY   (Australia)

Author keywords

quantum control; quantum measurement; quantum open systems

Indexed keywords

PHYSICS;

COHERENT PROTOCOLS; CONTROL PROBLEMS; FEEDBACK PROTOCOL; GEODESIC PATHS; MEASUREMENT-BASED; QUANTUM CONTROL; QUANTUM MEASUREMENT; QUANTUM OPEN SYSTEMS;

RESEARCH;

EID: 84905171391     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/16/7/073036     Document Type: Article

References (27)

1. Dong D and Petersen I R 2010 Quantum control theory and applications: a survey IET Control Theor. Appl. 4 2651-71
2. Jacobs K 2014 Quantum Measurement Theory and its Applications (Cambridge: Cambidge University Press)
3. Wiseman H M and Milburn G J 2010 Quantum Measurement and Control (Cambridge: Cambridge University Press)
4. Altafini C and Ticozzi F 2012 Modeling and control of quantum systems: an introduction IEEE Trans. Autom. Control 57 1898-917
5. Jakeman E and Walker J G 1985 Analysis of a method for the generation of light with sub-poissonian photon statistics Opt. Commun. 55 219 (Pubitemid 15562403)
6. Wiseman H M and Milburn G J 1993 Quantum theory of optical feedback via homodyne detection Phys. Rev. Lett. 70 548-51 (Pubitemid 23684263)
7. Doherty A C and Jacobs K 1999 Feedback control of quantum systems using continuous state estimation Phys. Rev. A 60 2700-11 (Pubitemid 129589970)
8. Yamamoto N and Hara S 2007 Relation between fundamental estimation limit and stability in linear quantum systems with imperfect measurement Phys. Rev. A 76 034102 (Pubitemid 47173759)
9. Koch M, Sames C, Kubanek A, Apel M, Balbach M, Ourjoumtsev A, Pinkse P W H and Rempe G 2010 Feedback cooling of a single neutral atom Phys. Rev. Lett. 105 173003
10. Vijay R, Macklin C, Slichter D H, Weber S J, Murch K W, Naik R, Korotkov A N and Siddiqi I 2012 Stabilizing Rabi oscillations in a superconducting qubit using quantum feedback Nature 490 77-80
11. Brakhane S, Alt W, Kampschulte T, Martinez-Dorantes M, Reimann R, Yoon S, Widera A and Meschede D 2012 Bayesian feedback control of a two-atom spin-state in an atom-cavity system Phys. Rev. Lett. 109 173601
12. Ristè D, Bultink C C, Lehnert K W and DiCarlo L 2012 Feedback control of a solid-state qubit using high-fidelity projective measurement Phys. Rev. Lett. 109 240502
13. Wiseman H M and Milburn G J 1994 All-optical versus electro-optical quantum-limited feedback Phys. Rev. A 49 4110
14. Gough J and James M R 2009 The series product and its application to quantum feedforward and feedback networks IEEE Trans. Autom. Control 54 2530-44
15. Nurdin H I, James M R and Petersen I R 2009 Coherent quantum LQG control Automatica 45 1837-46
16. Zhang J, Wu R-B, Liu Y-X, Li C-W and Tarn T-J 2012 Quantum coherent nonlinear feedbacks with applications to quantum optics on chip IEEE Trans. Autom. Control 57 1997
17. Hamerly R and Mabuchi H 2012 Advantages of coherent feedback for cooling quantum oscillators Phys. Rev. Lett. 109 173602
18. Hamerly R and Mabuchi H 2013 Coherent controllers for optical-feedback cooling of quantum oscillators Phys. Rev. A 87 013815
19. Jacobs K 2013 Twenty open problems in quantum control arXiv:1304.0819
20. Maxwell J C 1868 On governors Proc. R. Soc. London 16 270-83
21. Vitali D, Zippilli S, Tombesi P and Raimond J-M 2004 Decoherence control with fully quantum feedback schemes J. Mod. Opt. 51 799-809
22. Jacobs K and Landahl A J 2009 Engineering giant nonlinearities in quantum nanosystems Phys. Rev. Lett. 103 067201
23. Sarovar M, Goan H-S, Spiller T P and Milburn G J 2005 High-fidelity measurement and quantum feedback control in circuit QED Phys. Rev. A 72 062327 (Pubitemid 43272730)
24. Anandan J and Aharonov Y 1990 Geometry of quantum evolution Phys. Rev. Lett. 65 1697-700
25. Carlini A, Hosoya A, Koike T and Okudaira Y 2006 Time-optimal quantum evolution Phys. Rev. Lett. 96 060503 (Pubitemid 43271084)
26. Ando T 1989 Majorizations, doubly stochastic matrices, and comparison of eigenvalues Linear Algebra Appl. 118 163-248
27. Gottesman D 2009 An introduction to quantum error correction and fault-tolerant quantum computation arXiv:0904.2557