Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes

TL;DR

This paper demonstrates tunable entangling interactions between trapped Yb ions via multiple transverse modes, enabling tailored quantum gates and advancing quantum computing and simulation capabilities.

Contribution

It introduces a method to control spin-spin couplings mediated by multiple transverse modes, a novel approach for scalable quantum information processing with trapped ions.

Findings

Successful implementation of entangling gates between two and three ions.

Ability to tailor spin-spin couplings using multiple transverse modes.

Potential for scalable quantum simulation with large ion crystals.

Abstract

We demonstrate tunable spin-spin couplings between trapped atomic ions, mediated by laser forces on multiple transverse collective modes of motion. A $\sigma_x \sigma_x$-type Ising interaction is realized between quantum bits stored in the ground hyperfine clock states of Yb ions. We demonstrate entangling gates and tailor the spin-spin couplings with two and three trapped ions. The use of closely-spaced transverse modes provides a new class of interactions relevant to quantum computing and simulation with large collections of ions in a single crystal.