Linear quantum feedback networks

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 6, 2008, Pages

  Gough, J E ^a   Gohm, R ^a   Yanagisawa, M ^b  

^a ABERYSTWYTH UNIVERSITY   (United Kingdom)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS; FEEDBACK; FUNCTIONS; QUANTUM ELECTRONICS; QUANTUM OPTICS; TRANSFER FUNCTIONS;

BEAM SPLITTERS; FEEDBACK CONNECTIONS; INPUT FIELDS; LINEAR QUANTUM SYSTEMS; MARKOVIAN; MATHEMATICAL THEORIES; OPEN QUANTUM DYNAMICAL SYSTEMS; QUANTUM FEEDBACKS;

CONTROL THEORY;

EID: 57649114728     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.062104     Document Type: Article

References (21)

1. C. Gardiner and P. Zoller, Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics, 2nd ed., Springer Series in Synergetics (Springer, Berlin, 2000).
2. H. M. Wiseman, Phys. Rev. A 49, 2133 (1994). 10.1103/PhysRevA.49.2133
3. M. Yanagisawa and H. Kimura, IEEE Trans. Autom. Control 48, 2107 (2003). 10.1109/TAC.2003.820063
4. M. Yanagisawa and H. Kimura, IEEE Trans. Autom. Control 48, 2121 (2003). 10.1109/TAC.2003.820065
5. J. Gough and M. R. James, Commun. Math. Phys. (to be published).
6. J. Gough and M. R. James, e-print arXiv:0707.0048v1.
7. M. R. James, H. I. Nurdin, and I. R. Petersen, e-print arXiv:0703150.
8. S. Lloyd, Phys. Rev. A 62, 022108 (2000). 10.1103/PhysRevA.62.022108
9. H. Mabuchi, Phys. Rev. A 78, 032323 (2008). 10.1103/PhysRevA.78.032323
10. H. I. Nurdin, M. R. James, and I. R. Petersen, e-print arXiv:0711.2551.
11. R. L. Hudson and K. R. Parthasarathy, Commun. Math. Phys. 93, 301 (1984). 10.1007/BF01258530
12. K. Parthasarathy, An Introduction to Quantum Stochastic Calculus (Birkhauser, Berlin, 1992).
13. J. Gough, J. Math. Phys. 47, 113509 (2006). 10.1063/1.2354331
14. P. Halmos, A Hilbert Space Problem Book, 2nd ed. (Springer, Berlin, 1982).
15. K. Hoffman, Banach Spaces of Analytic Functions (Dover, New York, 1988).
16. C. W. Gardiner, Phys. Rev. Lett. 70, 2269 (1993). 10.1103/PhysRevLett.70. 2269
17. B. C. Buchler, M. B. Gray, D. A. Shaddock, T. C. Ralph, and D. E. McClelland, Opt. Lett. 24, 259 (1999). 10.1364/OL.24.000259
18. J. F. Sherson and K. Mølmer, Phys. Rev. Lett. 97, 143602 (2006). 10.1103/PhysRevLett.97.143602
19. G. Sarma, A. Silberfarb, and H. Mabuchi, Phys. Rev. A 78, 025801 (2008). 10.1103/PhysRevA.78.025801
20. N. Young, An Introduction to Hilbert Space (Cambridge Mathematical Textbooks, Cambridge, 1988).
21. H. Helson, Lectures on Invariant Subspaces (Academic Press, New York, 1964).