# Shuttling of Rydberg ions for fast entangling operations

## TL;DR

This paper proposes a rapid entangling scheme for Rydberg ions in a linear trap using ion shuttling and electric pulses, achieving sub-microsecond operation times and high fidelity.

## Contribution

It introduces a novel fast entangling protocol for Rydberg ions utilizing ion shuttling and voltage pulses, surpassing traditional laser-driven gate speeds.

## Key findings

- Entanglement can be achieved in under 1 microsecond.
- Fidelity exceeds 99.9% with realistic parameters.
- The method outperforms conventional laser-based gates by over two orders of magnitude.

## Abstract

We introduce a scheme to entangle Rydberg ions in a linear ion crystal, using the high electric polarizability of the Rydberg electronic states in combination with mutual Coulomb coupling of ions that establishes common modes of motion. After laser-initialization of ions to a superposition of ground- and Rydberg-state, the entanglement operation is driven purely by applying a voltage pulse that shuttles the ion crystal back and forth. This operation can achieve entanglement on a sub-$\mu$s timescale, more than two orders of magnitude faster than typical gate operations driven by continuous-wave lasers. Our analysis shows that the fidelity achieved with this protocol can exceed $99.9\%$ with experimentally achievable parameters.