so that a readout with four 1s and 60 0s is equally likely the steepness of peak 742 at i th provides for reliable readings in terms of layout adc 700 simply requires more elements for each component dimensionally adc 700 is 4 times longer than adc 600 but otherwise not wider or more complex thus scaling to higher bit resolutions is straightforward there are no additional hierarchical levels as would be the case with the phase tree there are no additional superconducting levels required as there would be for the squid wheel redundant sensor banks can be used to increase the confidence in the readout for example a five section adc can have three read sections an average or modal value can be read out the frequency and degree of reading discrepancies can be used to assign a confidence level to the readings in such a case 34 n 34 is the number of sensors per read section rather than the total number of sensors the use of extra read sections can also be used with the comparators for different phase positions distributed among sections to allow more room for comparator layout in adc 10 the gradient currents are induced from a split current ladder alternatively the source currents can be individually generated with the proper magnitudes and inductively coupled into the pump lines also the 34 gradient current source 34 can generate constant currents that are variably coupled to pump lines to produced the desired flux gradient at the transmission line for example the current source can include a graduated series of inductors in the preferred linear.