Quantum filter reduction for measurement-feedback control via unsupervised manifold learning

New Journal of Physics

Volumn 11, Issue , 2009, Pages

  Nielsen, Anne E B ^a,b   Hopkins, Asa S ^c   Mabuchi, Hideo ^b  

^a AARHUS UNIVERSITY   (Denmark)

^b STANFORD UNIVERSITY   (United States)

^c CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AVERAGE NUMBERS; BISTABLES; CAVITY FIELD; HOMODYNE DETECTOR; LOCAL TANGENT SPACE ALIGNMENT; LOW-DIMENSIONAL MANIFOLDS; MANIFOLD LEARNING; MEASUREMENT-FEEDBACK; PARAMETER REGIMES; QUANTUM FILTERS; QUANTUM JUMPS; SIMPLE MODEL; SINGLE ATOMS; STOCHASTIC MASTER EQUATIONS; SYSTEM-BASED; TIME EVOLUTIONS;

FEEDBACK CONTROL; STATE FEEDBACK; STOCHASTIC MODELS;

FEEDBACK;

EID: 72049098219     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/11/10/105043     Document Type: Article

References (26)

1. Armen M A and Mabuchi H 2006 Phys. Rev. A 73 063801
2. Alsing P and Carmichael H J 1991 Quantum Opt. 3 13-32
3. Kilin S Y and Krinitskaya T B 1991 J. Opt. Soc. Am. B 8 2289-2295
4. Mabuchi H and Wiseman H M 1998 Phys. Rev. Lett. 81 4620
5. van Handel R and Mabuchi H 2005 J. Opt. B: Quantum Semiclass Opt. 7 226-236
6. Savage C M and Carmichael H J 1988 IEEE J. Quantum. Electron. 24 1495-1498
7. Hopkins A S 2008 Reduced order models for open quantum systems PhD Thesis California Institute of Technology
8. Grant D E and Kimble H J 1982 Opt. Lett. 7 353-355
9. Rempe G, Thompson R J, Brecha R J, Lee W D and Kimble H J 1991 Phys. Rev. Lett. 67 1727-1730
10. Sauer J A, Fortier K M, Chang M S, Hamley C D and Chapman M S 2004 Phys. Rev. A 69 051804
11. Gupta S, Moore K L, Murch K W and Stamper-Kurn D M 2007 Phys. Rev. Lett. 99 213601
12. Naik A, Buu O, LaHaye M D, Armour A D, Clerk A A, Blencowe M P and Schwab K C 2006 Nature 443 193-196
13. Thomsen L K, Mancini S and Wiseman H M 2002 Phys. Rev. A 65 061801
14. Ahn C, Doherty A C and Landahl A J 2002 Phys. Rev. A 65 042301
15. Sarovar M, Ahn C, Jacobs K and Milburn G J 2004 Phys. Rev. A 69 052324
16. Geremia JM 2006 Phys. Rev. Lett. 97 073601
17. Yanagisawa M 2006 Phys. Rev. Lett. 97 190201
18. Negretti A, Poulsen U V and Mølmer K 2007 Phys. Rev. Lett. 99 223601
19. Steck D A, Jacobs K, Mabuchi H, Bhattacharya T and Habib S 2004 Phys. Rev. Lett. 92 223004
20. Steck D A, Jacobs K, Mabuchi H, Habib S and Bhattacharya T 2006 Phys. Rev. A 74 012322
21. Nielsen A E B and Mølmer K 2008 Phys. Rev. A 77 052111
22. Mabuchi H 2008 Phys. Rev. A 78 015801
23. Kloeden P E and Platen E 1992 Numerical Solution of Stochastic Differential Equations (Berlin: Springer)
24. Saul L K and Roweis S T 2003 J. Machine Learning Res. 4 119-155
25. Lin T and Zha H 2008 IEEE Trans. Pattern Anal. Mach. Intell. 30 796-809
26. Zhang Z and Zha H 2004 SIAM J. Sci. Comput. 26 313-338