Protecting entangled states of two ions by engineering reservoir

TL;DR

This paper proposes a method to protect entangled states of two ions from decoherence by engineering a reservoir, enabling decoherence-free evolution and exploring the relationship between geometric phases and entanglement.

Contribution

It introduces a reservoir engineering scheme to achieve local decoherence-free evolution of entangled ion states in a damped cavity.

Findings

Decoherence-free subspace can be engineered for two ions.

Local decoherence-free evolution of entangled states is achievable.

The relationship between geometric phases and entanglement is analyzed.

Abstract

We present a proposal for realizing local decoherence-free evolution of given entangled states of two two-level (TL) ions. For two TL ions coupled to a single heavily damped cavity, we can use engineering reservoir scheme to obtain a decoherence-free subspace which can be nonadiabatically controlled by the system and reservoir parameters. Then the local decoherence-free evolution of the entangled states are achieved. And we also discuss the relation between the geometric phases and the entanglement of the two ions under the nonadiabatic coherent evolution.