Continuous measurements and instruments

Lecture Notes in Physics

Volumn 782, Issue , 2009, Pages 77-110

  Barchielli, Alberto ^a   Gregoratti, Matteo ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67949123397     PISSN: 00758450     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-01298-3_4     Document Type: Article

References (16)

1. A. Barchielli, L. Lanz, G. M. Prosperi, A model for the macroscopic description and continual observations in quantum mechanics, Nuovo Cimento 72B (1982) 79-121.
2. A. Barchielli, L. Lanz, G. M. Prosperi, Statistics of continuous trajectories in quantum mechanics: Operation valued stochastic processes, Found. Phys. 13 (1983) 779-812.
3. A. S. Holevo, Limit theorems for repeated measurements and continuous measurement processes. In L. Accardi, W. von Waldenfels (eds.), Quantum Probability and Applications IV, Lecture Notes in Mathematics 1396 (Springer, Berlin, 1989) pp. 229-257.
4. I. M. Gel'fand, N. Ya. Vilenkin Generalized Functions, Vol 4, Applications of Harmonic Analysis (New York, Academic, 1964).
5. K. Itô, Foundations of Stochastic Differential Equations in Infinite Dimensional Spaces (SIAM, Philadelphia, 1984).
6. A. Barchielli, Stochastic processes and continual measurements in quantum mechanics. In S. Albeverio, G. Casati and D. Merlini (eds.), Stochastic Processes in Classical and Quantum Systems, Lecture Notes in Physics 262 (Springer, Berlin, 1986), pp. 14-23.
7. G. Lupieri, Generalized stochastic processes and continual observations in quantum mechanics, J. Math. Phys. 24 (1983) 2329-2339.
8. V. P. Belavkin, P. Staszewski, Nondemolition observation of a free quantum particle, Phys, Rev. A. 45 (1992) 1347-1356.
9. P. Zoller, C.W. Gardiner, Quantum noise in quantum optics: The stochastic Schrödinger equation. In S. Reynaud, E. Giacobino and J. Zinn-Justin (eds.), Fluctuations quantiques, (Les Houches 1995) (North-Holland, Amsterdam, 1997) pp. 79-136.
10. C. W. Gardiner, P. Zoller, Quantum Noise (Springer, Berlin, 2000).
11. A. Barchielli, Continual measurements in quantum mechanics and quantum stochastic calculus. In S. Attal, A. Joye, C.-A. Pillet (eds.), Open Quantum Systems III, Lecture Notes in Mathematics 1882 (Springer, Berlin, 2006), pp. 207-291.
12. A. Barchielli, G. Lupieri, Quantum stochastic calculus, operation valued stochastic processes and continual measurements in quantum mechanics, J. Math. Phys. 26 (1985) 2222-2230.
13. A. S. Holevo, A noncommutative generalization of conditionally positive definite functions. In L. Accardi, W. von Waldenfels (eds.), Quantum Probability and Applications III, Lecture Notes in Mathematics 1303 (Springer, Berlin, 1988) pp. 128-148.
14. A. Barchielli, Direct and heterodyne detection and other applications of quantum stochastic calculus to quantum optics, Quantum Opt. 2 (1990) 423-441.
15. J. L. Doob, Stochastic Processes (Wiley, New York, 1953).
16. A. Barchielli,M. Gregoratti, Quantum continual measurements: The spectrum of the output, in J.C. García, R. Quezada, S.B. Sontz, Quantum Probability and Related Topics, Quantum Probability Series QP-PQ 23 (World Scientific Singapore, 2008) pp. 63-76; arXiv:0802.1877v1[quant-ph].