Exploration of sapphire whispering gallery mode resonator crystals for use as a quantum computing memory

Sapphire whispering gallery mode (WGM) resonators are a known to support multiple, high-quality factor modes in a compact volume at microwave frequencies. In this talk we demonstrate the ability to parametrically couple whispering gallery modes by use of a Josephson-junction-based coupling element. In this manner we implement a `storage and retrieval' protocol which may be useful for storing several complex microwave quantum states in small volumes.