Compilation of Entangling Gates for High-Dimensional Quantum Systems

TL;DR

This paper presents a comprehensive workflow for compiling two-qudit unitaries into native gates, facilitating the use of high-dimensional quantum systems for enhanced entanglement and quantum computing performance.

Contribution

It introduces a complete compilation method for two-qudit unitaries into native hardware-supported gates, addressing a key challenge in high-dimensional quantum computing.

Findings

Workflow successfully compiles two-qudit unitaries into native gates

Implementation is publicly available for use and further development

Demonstrates feasibility of high-dimensional quantum circuit compilation

Abstract

Most quantum computing architectures to date natively support multi-valued logic, albeit being typically operated in a binary fashion. Multi-valued, or qudit, quantum processors have access to much richer forms of quantum entanglement, which promise to significantly boost the performance and usefulness of quantum devices. However, much of the theory as well as corresponding design methods required for exploiting such hardware remain insufficient and generalizations from qubits are not straightforward. A particular challenge is the compilation of quantum circuits into sets of native qudit gates supported by state-of-the-art quantum hardware. In this work, we address this challenge by introducing a complete workflow for compiling any two-qudit unitary into an arbitrary native gate set. Case studies demonstrate the feasibility of both, the proposed approach as well as the corresponding implementation (which is freely available at https://github.com/cda-tum/qudit-entanglement-compilation).