Influence from cavity decay on geometric quantum computation in the large-detuning cavity QED model

Unconventional Geometric Quantum Computation in a Dissipative Cavity QED System Without the Heating

“…In contrast, for the unconventional GQGs, besides the theoretical proposals [12,26], an experiment has been done with trapped ions [27]. Recently, a general displacement operator method for treatment of the unconventional GQGs has been proposed by Chen et al [28]. However, the method can result in the heating effect since single-Hamiltonian evolution is applied.…”

“…We also investigate analytically the influence of the cavity mode dissipation on the GQG, and show that the fidelity and the success probability of the GQG are lower in our scheme than in the ideal one. Our scheme can eliminate the heating effect as in [28]. Therefore, we argue that the nonconventional GQG can be implemented under the consideration of dissipation.…”

“…In the rotating frame with respect to the cavity frequency ω c , , g, and κt δt, the effective Hamiltonian [28][29][30][31] can be expressed as…”

“…The two levels |e and |i couple to the cavity mode with the coupling constant g and detuning = ω 0 − ω c , assisted by a classical laser field with Rabi frequency and detuning − δ = ω 0 − ω L , where δ and δ = ω L − ω c . As |g is not involved in the interaction, under the consideration of the cavity decay and under the condition that no photon leaking out of the cavity is detected, the Hamiltonian [28] can be expressed as (assuming = 1)…”

“…In this paper, we use the general displacement operator method [28] and doubleHamiltonian evolution to investigate the geometric phase gate in a system with many identical three-level atoms confined in a cavity under decay, driven by a classical field. We propose an efficient scheme for implementation of the nonconventional GQG, based on a dissipative large-detuning interaction of the atoms with a cavity mode.…”