Compilation of Entangling Gates for High-Dimensional Quantum Systems

Abstract

Most quantum computing architectures to date natively support multi-valued logic, albeit being typically operated in a binary fash-ion. 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 de-vices. 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 partic-ular 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 github.com/cda-tum/qudit-entanglement-compilation).