1. A Josephson parametric converter, comprising: a multi-Josephson junction ring modulator having arrays of N Josephson junctions arranged m a ring configuration with nodes inter-dispersed between the arrays, wherein N is an integer having a value greater than one; and a first and a second resonator formed from lumped-element capacitors that shunt the multi-Josephson junction ring modulator and respectively enable a first and a second mode of the Josephson parametric converter