Quantum information technology based on solid state qubits has created much interest in converting quantum states from the microwave to the optical domain. Optical photons, unlike microwave photons, can be transmitted by fiber, making them suitable for long distance quantum communication. Moreover, the optical domain offers access to a large set of very wellâdeveloped quantum optical tools, such as highly efficient singleâphoton detectors and longâlived quantum memories. For a high fidelity microwave to optical transducer, efficient conversion at single photon level and low added noise is needed. Currently, the most promising approaches to build such systems are based on secondâorder nonlinear phenomena such as optomechanical and electroâoptic interactions. Alternative approaches, although not yet as efficient, include magnetoâoptical coupling and schemes based on isolated quantum systems like atoms, ions, or quantum dots. Herein, the necessary theoretical foundations for the most important microwaveâtoâoptical conversion experiments are provided, their implementations are described, and the current limitations and future prospects are discussed.