Detection theory in quantum optics: Stochastic representation

Journal of Optics B: Quantum and Semiclassical Optics

Volumn 8, Issue 1, 1996, Pages 133-156

  Barchielli, A ^a,b   Paganoni, A M ^c  

^a UNIVERSITY OF SALENTO   (Italy)

^b INFN SEZIONE DI MILANO   (Italy)

^c UNIVERSITY OF MILAN   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; MATHEMATICAL OPERATORS; MONTE CARLO METHODS; PHOTONS; QUANTUM THEORY; RANDOM PROCESSES; VECTORS;

BELAVKIN'S EQUATION; MONTE CARLO WAVEFUNCTION METHOD; PHOTON DETECTION THEORY; STOCHASTIC QUANTUM MECHANICS;

QUANTUM OPTICS;

EID: 0002051687     PISSN: 14644266     EISSN: None     Source Type: Journal    
DOI: 10.1088/1355-5111/8/1/011     Document Type: Article

References (38)

1. Barchielli A 1987 Quantum stochastic differential equations: an application to the electron shelving effect J. Phys. A: Math. Gen. 20 6341-55
2. Barchielli A 1990 Quantum stochastic calculus: applications to quantum optics Stochastic Processes, Physics and Geometry ed S Albeverio et al (Singapore: World Scientific) pp 112-20
3. Barchielli A 1990 Direct and heterodyne detection and other applications of quantum stochastic calculus to quantum optics Quantum Opt. 2 423-41
4. Barchielli A 1991 Applications of quantum stochastic calculus to quantum optics Quantum Probability and Related Topics VI ed L Accardi (Singapore: World Scientific) pp 111-25
5. Barchielli A 1991 Detection theory in quantum optics and quantum stochastic calculus Quantum Aspects of Optical Communications, Lecture Notes in Physics vol 378, ed C Bendjaballah et al (Berlin: Springer) pp 179-89
6. Barchielli A 1993 Quantum stochastic calculus, measurements continuous in time, and heterodyne detection in quantum optics Classical and Quantum Systems - Foundations and Symmetries, Proc. II Int. Wigner Symp. (Singapore: World Scientific) pp 488-91
7. Davies E B 1976 Quantum Theory of Open Systems (London: Academic)
8. Barchielli A, Lanz L and Prosperi G M 1983 Statistics of continuous trajectories in quantum mechanics: operation valued stochastic processes Found. Phys. 13 779-812
9. Barchielli A and Lupieri G 1985 Quantum stochastic calculus, operation valued stochastic processes and continual measurements in quantum mechanics J. Math. Phys. 26 2222-30
10. Barchielli A 1986 Measurement theory and stochastic differential equations in quantum mechanics Phys. Rev. A 34 1642-9
11. Parthasarathy K R 1992 An Introduction to Quantum Stochastic Calculus (Basel: Birkhäuser)
12. Belavkin V P 1988 Nondemolition measurements, nonlinear filtering and dynamic programming of quantum stochastic processes Modelling and Control of Systems, Lecture Notes in Control and Information Sciences vol 121. ed A Blaquière (Berlin: Springer) pp 245-65
13. Diósi L 1988 Continuous quantum measurement and Ito formalism Phys. Lett. 129A 419-23
14. Staszewski P 1993 Quantum Mechanics of Continuously Observed Systems (Toruń: Nicholas Copernicus University Press)
15. Barchielli A 1993 Stochastic differential equations and 'a posteriori',states in quantum mechanics Int. J. Theor. Phys. 32 2221-32
16. Barchielli A 1993 On the quantum theory of measurements continuous in time Rep. Math. Phys. 33 21-34
17. Belavkin V P 1990 A posterior Schrödinger equation for continuous nondemolition measurement J. Math. Phys. 31 2930-4
18. Belavkin V P 1989 A continuous counting observation and posterior quantum dynamics J. Phys. A: Math. Gen. 22 L1109-14
19. Ozawa M 1985 Conditional probability and a posteriori states in quantum mechanics Publ. RIMS Kyoto University 21 279-95
20. Carmichael H J 1993 An Open System Approach to Quantum Optics, Lecture Notes in Physics vol 18 (Berlin: Springer)
21. Barchielli A and Belavkin V P 1991 Measurements continuous in time and a posteriori states in quantum mechanics J. Phys. A: Math. Gen. 24 1495-514
22. Barchielli A 1994 Some stochastic differential equations in quantum optics and measurement theory: the case of counting processes Stochastic Evolution of Quantum States in Open Systems and in Measurement Processes ed L Diósi and B Lukács (Singapore: World Scientific) pp 1-14
23. Barchielli A 1995 Some stochastic differential equations in quantum optics and measurement theory: the case of diffusive processes Preprint 2 Lecce University
24. Barchielli A and Holevo A S 1995 Constructing quantum measurement processes via classical stochastic calculus Stochastic Processes Appl. 58 293-317
25. Mølmer K, Castin Y and Dalibard J 1993 A Monte Carlo wave function method in quantum optics J. Opt. Soc. Am. B 10 524-38
26. Hudson R L and Parthasarathy K R 1984 Quantum Ito's formula and stochastic evolutions Commun. Math. Phys. 93 301-23
27. Frigerio A 1985 Covariant Markov dilations of quantum dynamical semigroups Publ. RIMS Kyoto Univ. 21 657-75
28. Gardiner C W and Collet M J 1985 Input and output in damped quantum systems: quantum stochastic differential equations and the master equation Phys. Rev. A 31 3761-74
29. Yuen H P 1978 Optical communication with two-photon coherent states. Part I: quantum-state propagation and quantum-noise reduction IEEE Trans. Inform. Theory IT-24 657-68
30. Barchielli A and Lupieri G 1989 Convolution semigroups in quantum probability and quantum stochastic calculus Quantum Probability and Applications IV, Lecture Notes in Mathematics vol 1396, ed L Accardi and W von Waldenfels (Berlin: Springer) pp 107-27
31. Holevo A S 1991 Statistical inference for quantum processes Quantum Aspects of Optical Communications, Lecture Notes in Physics vol 378 ed C Bendjaballah et al (Berlin: Springer) pp 127-137
32. Kelley P L and Kleiner W H 1964 Theory of electromagnetic field measurement and photoelectron counting Phys. Rev. A 136 316-34
33. Wiseman H M and Milburn G J 1993 Interpretation of quantum jump and diffusion processes illustrated on the Bloch sphere Phys. Rev. A 47 1652-66
34. Gardiner C W, Parkins A S, Zoller P 1992 Wave function quantum stochastic differential equations and quantum jumps simulation methods Phys. Rev. A 46 4363-81
35. Dum R, Parkins A S and Zoller P 1992 Monte-Carlo simulation of master equations in quantum optics for vacuum, thermal and squeezed reservoirs Phys. Rev. A 46 4382-96
36. Jacod J and Shiryaev A N 1987 Limit Theorems for Stochastic Processes (Berlin: Springer)
37. Karr A F 1991 Point Processes and their Statistical Inference (New York: Dekker)
38. Gisin N and Percival I C 1992 The quantum-state diffusion model applied to open systems J. Phys. A: Math. Gen. 25 5677-91