Measurement of the energy sensitivity of a superconductive comparator

Comparators are a critical component in sigma-delta A/D converters. We have studied experimentally the sensitivity of a quantum flux parametron (QFP) comparator operated over a range of sampling frequencies F-S from 40 Hz to 40 MHz, In one experimental method, following Ko and Lee, we measure the fi ring probability of the QFP as a function of applied nux The sensitivity ca n be derived from the slope of this curve. In a second method, we measure t he sensitivity directly by observing the spectrum of the QFP output while t he amplitude of a small sinusoidal applied flux is adjusted to exceed the n oise floor by 3 dB, The two methods were found to be in good, but not perfe ct agreement. The sensitivity was measured as we varied both FS and the clo ck rise time. The spectrum of the quantization noise exhibits, as expected, a flat floor whose level is inversely proportional to Fs. The best energy sensitivity that we observed was for a clock frequency of similar to 20 MHz with a 10 ns rise time. The measured sensitivity was about 1500 h (Planck' s constant). The readout circuit prevented us from clocking the comparator into the GHz range for even greater sensitivity. We also believe that the c omparator could be optimized to improve sensitivity further. The noise floo r was low enough that we could observe excess low-frequency noise below 5 H z. We have not yet determined whether it is intrinsic to the comparator or originates from our test electronics. We hypothesize that the noise floor w ill continue to fall as Fs increases until we reach the speed limit of the comparator, at which point successive output samples will no longer be unco rrelated, or until we reach the uncertainty-principle Limit (h) in the 100s of GHz range.