Non-Demolition Dispersive Measurement of a Superconducting Qubit with a   Microstrip SQUID Amplifier
  We have studied the possibility of a single-shot non-demolition measurement of a superconducting qubit using a microstrip SQUID amplifier (MSA). The Johnson noise generated by all resistors in the MSA is taken into consideration. We show that a single-shot non-demolition measurement is possible with six photons in the measurement resonator. For a phase qubit inductively coupled to a measurement resonator we have obtained the expression for the mutual inductance required for measurement of the qubit state. 
G.P. Berman, D.I. Kamenev, D. Kinion, and V.I. Tsifrinovich
quant-ph cond-mat.supr-con physics.ins-det