Fast quantum limited readout of a superconducting qubit using a slow oscillator
Göran Johansson, Lars Tornberg, C. M. Wilson
DOI 10.1103/PhysRevB.74.100504 · Physical Review B
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Abstract
We describe how to perform fast quantum limited readout of a solid state qubit biased at its degeneracy point. The method is based on homodyne detection of the phase of a microwave signal reflected by a slow oscillator coupled to the qubit. Analyzing the whole quantum readout process, we find that the detection is indeed quantum limited and that this limit may be reached even using a resonance circuit with a low quality factor, thus enabling the use of short measurement pulses. As an example, we discuss in detail the readout of a Cooper-pair box capacitively coupled to a lumped element LC oscillator. Furthermore, we give formulas for the backaction while not measuring, and discuss optimal parameters for a realistic design capable of fast (∼50ns) single-shot readout.
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