Deterministic generation of hybrid high-N00N states with Rydberg ions trapped in microwave cavities

TL;DR

This paper proposes a protocol to generate high-N00N entangled states between a trapped ion's motion and a microwave cavity mode, enhancing quantum metrology capabilities with a feasible hybrid ion-cavity platform.

Contribution

It introduces a novel method for creating hybrid high-N00N states using Rydberg ions coupled to microwave cavities, enabling advanced quantum sensing.

Findings

Feasibility demonstrated with Rydberg ion and microwave cavity platform

Protocol enables entanglement between ion motion and cavity modes

Setup can be used for quantum metrology interferometry

Abstract

Trapped ions are among the most promising platforms for quantum technologies. They are at the heart of the most precise clocks and sensors developed to date, which exploit the quantum coherence of a single electronic or motional degree of freedom of an ion. However, future high precision quantum metrology will require the use of entangled states of several degrees of freedom. Here we propose a protocol capable of generating high N00N states where the entanglement is shared between the motion of a trapped ion and an electromagnetic cavity mode, a so called hybrid configuration. We prove the feasibility of the proposal in a platform consisting of a trapped ion excited to its circular Rydberg state manifold, coupled to the modes of a high Q microwave cavity. This compact hybrid architecture has the advantage that it can couple to signals of very different nature, which modify either the ions motion or the cavity modes. Moreover, the exact same setup can be used right after the state preparation phase to implement the interferometer required for quantum metrology.