Continued development of complementary capabilities in two quantum technologies—information processing with microwave-frequency superconducting circuits and networks based on optical-frequency photonic links—have motivated an effort to bridge the frequency gap between them with a transducer capable of preserving quantum signals. At the same time, mechanical resonators have been engineered to interact with electromagnetic waves across the spectrum in a variety of tailorable physical implementations. This thesis describes advances in a transducer using the mechanical mode of a silicon nitride membrane as an intermediary permitting coupling between a superconducting resonant LC circuit and a Fabry-Pérot optical cavity. With this choice of architecture, we have developed transducers of unparalleled efficiency and the unique capability to run continuously without appreciably degrading the performance of the superconductor from scattered optical photons. We have been able to laser-cool the mechanical mode to an occupation of less than one photon, and achieved transducer performance capable of converting a single microwave photon to optical frequencies with a signal-to-noise ratio of 1/3. Furthermore, operating the transducer does not cause appreciable heating of a superconducting transmon qubit linked to its microwave input port. With progress towards a quantum-enabled interface, we have started to develop capabilities towards implementing protocols that optically verify the quantum performance of the transducer.
Mechanical modes are a potentially useful resource for quantum information applications, such as quantum-level wavelength transducers, due to their ability to interact with electromagnetic radiation across the spectrum. A significant challenge for wavelength transducers is thermomechanical noise in the mechanical mode, which pollutes the transduced signal with thermal states. In this Letter, we eliminate thermomechanical noise in the GHz-frequency mechanical breathing mode of a piezoelectric optomechanical crystal using cryogenic cooling in a dilution refrigerator. We optically measure an average thermal occupancy of the mechanical mode of only 0.7±0.4 phonons, providing a path towards low-noise microwave-to-optical conversion in the quantum regime.
The successes of superconducting quantum circuits at local manipulation of quantum information and photonics technology at long-distance transmission of the same have spurred interest in the development of quantum transducers for efficient, low-noise, and bidirectional frequency conversion of photons between the microwave and optical domains. We propose to realize such functionality through the coupling of electrical, piezoelectric, and optomechanical resonators. The coupling of the mechanical subsystems enables formation of a resonant mechanical supermode that provides a mechanically mediated, efficient single interface to both the microwave and optical domains. The conversion process is analyzed by applying an equivalent circuit model that relates device-level parameters to overall figures of merit for conversion efficiency $\ensuremath{\eta}$ and added noise
N. These can be further enhanced by proper impedance matching of the transducer to an input microwave transmission line. The performance of potential transducers is assessed through finite-element simulations, with a focus on geometries in
GaAs, followed by considerations of the
AlN,
LiNbO3, and
AlN-on-
Si platforms. We present strategies for maximizing $\ensuremath{\eta}$ and minimizing
N, and find that simultaneously achieving $\ensuremath{\eta}>50\mathrm{%}$ and
N<0.5 should be possible with current technology. We find that the use of a mechanical supermode for mediating transduction is a key enabler for high-efficiency operation, particularly when paired with an appropriate microwave impedance-matching network. Our comprehensive analysis of the full transduction chain enables us to outline a development path for the realization of high-performance quantum transducers that will constitute a valuable resource for quantum information science.