Cavity State Manipulation Using Photon-Number Selective Phase Gates

Understand

The large available Hilbert space and high coherence of cavity resonators makes these systems an interesting resource for storing encoded quantum bits.

• To perform a quantum gate on this encoded information, however, complex nonlinear operations must be applied to the many levels of the oscillator simultaneously.
• In this work, we introduce the Selective Number-dependent Arbitrary Phase (SNAP) gate, which imparts a different phase to each Fock state component using an off-resonantly coupled qubit.
• We show that the SNAP gate allows control over the quantum phases by correcting the unwanted phase evolution due to the Kerr effect.