Codice | QDD 73 |

Titolo | **Quantum stochastic differential equations and continuous measurements: unbounded coefficients** |

Data | *2010-10-27* |

Autore/i | Castro Santis R.; Barchielli A. |

Link | Download full text |

Pubblicato | Reports on Mathematical Physics |

Abstract | A natural formulation of the theory of quantum measurements in continuous time is based on quantum stochastic differential equations (Hudson-Parthasarathy equations). However, such a theory was developed only in the case of Hudson-Parthasarathy equations with bounded coefficients. By using some results on Hudson-Parthasarathy equations with unbounded coefficients, we are able to extend the theory of quantum continuous measurements to cases in which unbounded operators on the system space are involved. A significant example of a quantum optical system (the degenerate parametric oscillator) is shown to fulfill the hypotheses
introduced in the general theory. |