Strong-driving-assisted generation of two-mode nonclassical states and swap gate operation in trapped-ion cavity QED

Abstract

We propose a simple and efficient scheme to generate a nonclassical state of a quantum system, which is composed of the one-dimension trapped-one motion and a single-cavity field mode. We also generate two-mode SU(2) Schrödinger-cat states, entangled coherent states and squeezed cat states. In addition, we show that a quantum swap gate can be implemented if the vibration mode and cavity mode are used to represent separately a qubit. The distinct feature of the scheme is that it operates in the strong-excitation regime (Ω ≫ ν), which greatly enhances operation speed.

Feasible schemes for quantum swap gates of optical qubits via cavity QED

“…( 19)) we can realize a swap gate operation very conveniently. [25,34] For this purpose we take our initial field of bimodal cavity to be in Fock state, i.e., |ψ(0) total = |+ k ⊗(|h a |v b ), and the time evolution of the whole system can be easily expressed as…”

“…where we have defined λ = N χ/2. The operator P (t) directly acts on the two-mode Fock state of the cavityfield, this can lead to [25,34]…”