# A stroboscopic approach to trapped-ion quantum information processing with squeezed phonons

## TL;DR

This paper introduces a stroboscopic protocol that employs parametric amplification and spin-motion coupling to exponentially enhance interaction strengths in trapped-ion quantum systems, potentially enabling faster quantum gates.

## Contribution

It presents a novel stroboscopic approach that significantly boosts interaction strength in trapped-ion quantum computing through parametric amplification.

## Key findings

- Interaction strength increases exponentially with gate time.
- The protocol surpasses previous methods in enhancing coherence.
- Potential for faster and more robust quantum gates.

## Abstract

In trapped-ion quantum information processing, interactions between spins (qubits) are mediated by collective modes of motion of an ion crystal. While there are many different experimental strategies to design such interactions, they all face both technical and fundamental limitations to the achievable coherent interaction strength. In general, obtaining strong interactions and fast gates is an ongoing challenge. Here, we extend previous work [Phys. Rev. Lett. 112, 030501 (2019)] and present a general strategy for enhancing the interaction strengths in trapped-ion systems via parametric amplification of the ions' motion. Specifically, we propose a stroboscopic protocol using alternating applications of parametric amplification and spin-motion coupling. In comparison with the previous work, we show that the current protocol can lead to larger enhancements in the coherent interaction that increase exponentially with the gate time.