# Dual-Species, Multi-Qubit Logic Primitives for Ca+/Sr+ Trapped-Ion Crystals

## TL;DR

This paper demonstrates high-fidelity multi-qubit quantum gates in a dual-species Ca+/Sr+ trapped-ion system, showcasing its potential for scalable quantum computing with sympathetic cooling and state transfer capabilities.

## Contribution

It introduces dual-species Ca+/Sr+ trapped-ion logic primitives with high fidelities, advancing scalable quantum information processing techniques.

## Key findings

- Achieved 98.8% fidelity in Ca+ - Ca+ gates.
- Achieved 97.5% fidelity in Sr+ - Sr+ gates.
- Achieved 94.3% fidelity in Ca+ - Sr+ gates.

## Abstract

We demonstrate key multi-qubit quantum logic primitives in a dual-species trapped-ion system based on $^{40}$Ca+ and $^{88}$Sr+ ions, using two optical qubits with quantum-logic-control frequencies in the red to near-infrared range. With all ionization, cooling, and control wavelengths in a wavelength band similar for the two species and centered in the visible, and with a favorable mass ratio for sympathetic cooling, this pair is a promising candidate for scalable quantum information processing. Same-species and dual-species two-qubit gates, based on the Moelmer-Soerensen interaction and performed in a cryogenic surface-electrode trap, are characterized via the fidelity of generated entangled states; we achieve fidelities of 98.8(2)% and 97.5(2)% in Ca+ - Ca+ and Sr+ - Sr+ gates, respectively. For a similar Ca+ - Sr+ gate, we achieve a fidelity of 94.3(3)%, and carrying out a Sr+ - Sr+ gate performed with a Ca+ sympathetic cooling ion in a Sr+ - Ca+ - Sr+ crystal configuration, we achieve a fidelity of 95.7(3)%. These primitives form a set of trapped-ion capabilities for logic with sympathetic cooling and ancilla readout or state transfer for general quantum computing and communication applications.