A Josephson parametric converter is provided. The Josephson parametric converter includes a multi-Josephson junction ring modulator having a first, a second, a third, and a fourth node and a first, a second, a third, and a fourth array of N Josephson junctions arranged in a ring configuration with the nodes inter-dispersed between the arrays. The first array is between the first and second nodes, the second array is between the second and third nodes, the third array is between the third and fourth nodes, and the fourth array is between the fourth and first nodes. N is an integer having a value greater than one. The Josephson parametric converter further includes 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.
Please help me write a proper abstract based on the patent claims. CLAIM: 1. A Josephson parametric converter, comprising: a multi-Josephson junction ring modulator having a first, a second, a third, and a fourth node and a first, a second, a third, and a fourth array of N Josephson junctions arranged in a ring configuration with the nodes inter-dispersed between the arrays, wherein the first array is between the first and second nodes, the second array is between the second and third nodes, the third array is between the third and fourth nodes, and the fourth array is between the fourth and first nodes, and 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. 2. The Josephson parametric converter of claim 1, wherein the N Josephson junctions in each of the arrays are connected in series. 3. The Josephson parametric converter of claim 1, wherein the first resonator comprises at least one capacitor shunted across the first node and the third node, and the second resonator comprises at least one other capacitor shunted across the second node and the fourth node. 4. The Josephson parametric converter of claim 3, wherein multi-Josephson junction ring modulator has two opposing pairs of nodes, a first of the two opposing pairs of nodes formed from the first node and the third node, and a second of the two opposing pairs of nodes formed from the second node and the fourth node. 5. The Josephson parametric converter of claim 1, further comprising a first, a second, a third, and a fourth coupling capacitor, each having a first electrode connected to a respective different one of the nodes of the multi-Josephson junction ring modulator, and having a second electrode for connecting to a respective one of a plurality of feedlines. 6. The Josephson parametric converter of claim 1, wherein the Josephson parametric converter is formed such that a total inductance of the Josephson parametric converter is dominated by an inductance contribution of the multi-Josephson junction ring modulator to provide a dynamical bandwidth of at least 100 MHz for the Josephson parametric converter at 20 dB of gain. 7. The Josephson parametric converter of claim 1, wherein the first and the second resonator are further formed from lumped-element inductance, and wherein the arrays of Josephson junctions in the Josephson junction ring modulator in conjunction with using a lumped-element implementation for the resonators enables a maximum input power of at least −120 dBm at 20 dB of gain for the Josephson parametric converter, wherein the lumped-element implementation for the resonators comprises the lumped-element capacitors and the lumped-element inductance. 8. The Josephson parametric converter of claim 1, wherein N is equal to an integer larger than one. 9. The Josephson parametric converter of claim 1, wherein the Josephson parametric converter is configured to perform wave mixing of three microwave signals for quantum information processing. 10. The Josephson parametric converter of claim 9, wherein the Josephson parametric converter is configured to selectively perform unitary frequency conversion or quantum-limited amplification in a microwave domain based on a pump tone frequency. 11. A method, comprising: forming a Josephson parametric converter, wherein said forming step includes: forming a multi-Josephson junction ring modulator having a first, a second, a third, and a fourth node and a first, a second, a third, and a fourth array of N Josephson junctions arranged in a ring configuration with the nodes inter-dispersed between the arrays, wherein the first array is between the first and second nodes, the second array is between the second and third nodes, the third array is between the third and fourth nodes, and the fourth array is between the fourth and first nodes, and N is an integer having a value greater than one; and forming a first and a second resonator 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. 12. The method of claim 11, wherein the N Josephson junctions in each of the arrays are connected in series. 13. The method of claim 11, wherein forming the first and the second resonator comprise: shunting at least one capacitor across the first node and the third node; and shunting at least one other capacitor across the second node and the fourth node. 14. The method of claim 13, wherein multi-Josephson junction ring modulator is formed to have two opposing pairs of nodes, a first of the two opposing pairs of nodes formed from the first node and the third node, and a second of the two opposing pairs of nodes formed from the second node and the fourth node. 15. The method of claim 11, further comprising forming a first, a second, a third, and a fourth coupling capacitor, each having a first electrode connected to a respective different one of the nodes of the multi-Josephson junction ring modulator, and having a second electrode for connecting to a respective one of a plurality of feedlines. 16. The method of claim 11, wherein the Josephson parametric converter is formed such that a total inductance of the Josephson parametric converter is dominated by an inductance contribution of the multi-Josephson junction ring modulator to provide a dynamical bandwidth of at least 100 MHz for the Josephson parametric converter. 17. The method of claim 11 wherein the first and the second resonator are further formed from lumped-element inductance, and wherein the arrays of Josephson junctions in the Josephson junction ring modulator in conjunction with using a lumped-element implementation for the resonators enables a maximum input power of at least −120 dBm at 20 dB of gain for the Josephson parametric converter, wherein the lumped-element implementation for the resonators comprises the lumped-element capacitors and the lumped-element inductance. 18. The method of claim 11, wherein N is equal to an integer larger than one. 19. The method of claim 11, wherein the Josephson parametric converter is configured to perform wave mixing of three input waves for quantum information processing. 20. The method of claim 19, wherein the Josephson parametric converter is configured to selectively perform unitary frequency conversion or quantum-limited amplification in a microwave domain based on a pump tone frequency.