Phonon-mediated spin-spin interactions between trapped Rydberg atoms

TL;DR

This paper proposes a method to create high-fidelity phonon-mediated spin-spin interactions between trapped Rydberg atoms using laser coupling and Rydberg dressing, mimicking trapped ion quantum gates.

Contribution

It introduces a novel scheme employing Rydberg dressing to induce effective spin-spin interactions in neutral atoms, analogous to trapped ion quantum gates.

Findings

High-fidelity two-atom entanglement possible at non-zero temperature.

Demonstrates a scheme similar to the Mølmer-Sørensen gate for neutral atoms.

Potential for scalable quantum computing with neutral atom qubits.

Abstract

We theoretically investigate the possibility of creating phonon-mediated spin-spin interactions between neutral atoms trapped in optical tweezers. By laser coupling the atoms to Rydberg states, collective modes of motion appear. We show that these can be used to mediate effective spin-spin interactions or quantum logic gates between the atoms in analogy to schemes employed in trapped ions. In particular, we employ Rydberg dressing in a novel scheme to induce the needed interaction, and we show that it is possible to replicate the working of the M{\o}lmer-S{\o}rensen entanglement scheme. The M{\o}lmer-S{\o}rensen gate is widely used in emerging quantum computers using trapped ion qubits and currently features some of the highest fidelities of any quantum gate under consideration. We find arbitrarily high fidelity for the coherent time evolution of the two-atom state even at non-zero temperature.