Quantum Bayesian approach to circuit QED measurement
  We present a simple formalism describing evolution of a qubit in the process of its measurement in a circuit QED setup. When a phase-sensitive amplifier is used, the evolution depends on only one output quadrature, and the formalism is the same as for a broadband setup. When a phase-preserving amplifier is used, the qubit evolution depends on two output quadratures. In both cases a perfect monitoring of the qubit state and therefore a perfect quantum feedback is possible. 
Alexander N. Korotkov
quant-ph cond-mat.mes-hall