Triply resonant electro-optic transducers

A device, comprising:

• an electro-optic transducer which comprises:
• a microwave resonator comprising a first electrode pad, a second electrode pad, a third electrode pad, and an inductive element, wherein the second electrode pad and the third electrode pad are aligned to each other, and separated from the first electrode pad by a gap, and the inductive element is connected to and between the second electrode pad and the third electrode pad;
• and
• an optical transmission line comprising:
• an optical resonator disposed within the gap between the first electrode pad and the second and third electrode pads;
• a first photonic mirror disposed at a first end of the optical resonator;
• a second photonic mirror disposed at a second end of the optical resonator;
• and
• a third photonic mirror disposed in a central region of the optical resonator.

A system, comprising;

• a quantum processor;
• a control system that is configured to control operation of the quantum processor, wherein the control system comprises at least one electro-optic transducer, which comprises:
• a microwave resonator comprising a first electrode pad and a second electrode pad separated by a gap;
• and
• an optical transmission line comprising:
• an optical resonator disposed within the gap between the first electrode pad and the second electrode pad;
• a first photonic mirror disposed at a first end of the optical resonator;
• a second photonic mirror disposed at a second end of the optical resonator;
• and
• a third photonic mirror disposed in a central region of the optical resonator;
• wherein the at least one electro-optic transducer is configured to (i) convert a microwave signal, which is output from the quantum processor, to an optical signal that is transmitted over an optical communications network, and to (ii) convert an optical signal, which is received from the optical communications network, into a microwave signal that is input to the quantum processor.