Deterministic amplification of Schrödinger cat states in circuit quantum electrodynamics

We propose a dynamical scheme for deterministically amplifying photonic Schr$\“o$dinger cat states based on a set of optimal state-transfers. The scheme can be implemented in strongly coupled qubit-cavity systems and is well suited to the capabilities of state of the art superconducting circuits. The ideal analytical scheme is compared with a full simulation of the open Jaynes-Cummings model with realistic device parameters. This amplification tool can be utilized for practical quantum information processing in non-classical continuous-variable states.