One-step implementation of the Fredkin gate via quantum Zeno dynamics

TL;DR

This paper proposes a simplified, one-step method to implement the Fredkin gate using quantum Zeno dynamics in a bi-modal cavity, demonstrating robustness against decay and spontaneous emission.

Contribution

It introduces a novel one-step implementation of the Fredkin gate leveraging quantum Zeno dynamics, reducing experimental complexity and analyzing robustness under realistic conditions.

Findings

Fidelity and success probability are robust against cavity decay.

Implementation is insensitive to atomic spontaneous emission in large detuning.

Interaction time is shorter in the resonant model.

Abstract

We study one-step implementation of the Fredkin gate in a bi-modal cavity under both resonant and large detuning conditions based on quantum Zeno dynamics, which reduces the complexity of experiment operations. The influence of cavity decay and atomic spontaneous emission is discussed by numerical calculation. The results demonstrate that the fidelity and the success probability are robust against cavity decay in both models and they are also insensitive to atomic spontaneous emission in the large detuning model. In addition, the interaction time is rather short in the resonant model compared to the large detuning model.