Abstract
We calculate the charge sensitivity of a recently demonstrated device where the Josephson inductance of a single Cooper-pair transistor is measured. We find that the intrinsic limit to detector performance is set by oscillator quantum noise. Sensitivity better than 10−6e∕Hz is possible with a high Q value ∼103, or using a superconducting quantum interference device amplifier. The model is compared to experiment, where charge sensitivity 3×10−5e∕Hz and bandwidth 100 MHz are achieved.
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