Multi-Mode Global Driving of Trapped Ions for Quantum Circuit Synthesis

TL;DR

This paper introduces a multi-mode global driving technique for trapped ion quantum systems that enables faster, more efficient quantum circuit synthesis, including complex interactions and the Quantum Fourier Transform.

Contribution

It presents a novel multi-mode global drive method that reduces runtime and resource requirements for quantum simulations and computations in trapped ion systems.

Findings

Shorter runtimes for Ising interactions compared to two-qubit gates.

Efficient generation of n-body interactions among ion qubits.

Quadratically fewer entangling operations for Quantum Fourier Transform.

Abstract

We study the use of global drives with multiple frequency components to improve the efficiency of trapped ion quantum simulations and computations. We show that such `multi-mode' global drives, when combined with a linear number of single-qubit rotations, generate universal Ising-type interactions with shorter overall runtimes than corresponding two-qubit gate implementations. Further, we show how this framework may be extended to efficiently generate $n-$body interactions between any subset $n$ of the ion qubits. Finally, we apply these techniques to encode the Quantum Fourier Transform using quadratically-fewer entangling operations, with quadratically smaller runtime, compared with traditional approaches.