Fast and noise-resistant implementation of quantum phase gates and creation of quantum entangled states

TL;DR

This paper presents a rapid, noise-resistant method for implementing quantum phase gates using Lewis-Riesenfeld phases and quantum Zeno dynamics, with applications to creating entangled states in atom-cavity systems.

Contribution

It introduces a novel scheme combining Lewis-Riesenfeld invariants and quantum Zeno dynamics for fast, robust quantum phase gates, applicable to various quantum information tasks.

Findings

Scheme achieves high fidelity despite decoherence.

Method is insensitive to spontaneous emission and photon loss.

Applicable to creating N-atom cluster states.

Abstract

The "Lewis-Riesenfeld phases" which plays a crucial role in constructing shortcuts to adiabaticity may be a resource for the implementation of quantum phase gates. By combining "Lewis-Riesenfeld invariant" with "quantum Zeno dynamics", we propose an effective scheme of rapidly implementing $\pi$ phase gates via constructing shortcuts to adiabatic passage in a two-distant-atom-cavity system. The influence of various decoherence processes such as spontaneous emission and photon loss on the fidelity is discussed. It is noted that this scheme is insensitive to both two error sources. Additionally, a creation of N-atom cluster states is put forward as a typical example of the applications of the fast and noise-resistant phase gates. The study results show that the shortcuts idea is not only applicable in other logic gates with different systems, but also propagable for many quantum information tasks.