Quantum Trajectories for Squeezed Input Processes: Explicit Solutions

Anita Dabrowska, John Gough

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We consider the quantum (trajectories) filtering equation for the case when the system is driven by Bose field inputs prepared in an arbitrary non-zero mean Gaussian state. The a posteriori evolution of the system is conditioned by the results of a single or double homodyne measurements. The system interacting with the Bose field is a single cavity mode taken initially in a Gaussian state. We show explicit solutions using the method of characteristic functions to the filtering equations exploiting the linear Gaussian nature of the problem.
Original languageEnglish
Article number1650004
Number of pages16
JournalOpen Systems and Information Dynamics
Issue number1
Publication statusPublished - 23 Mar 2016


  • quantum stochastic calculus
  • quantum filter equation
  • squeezed state
  • homodyne measurement


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