Transpiling quantum assembly language circuits to a qudit form

TL;DR

This paper presents a workflow for converting qubit quantum circuits into qudit form, enabling execution on qudit hardware and comparing different transpilation regimes for multicontrolled gates.

Contribution

It introduces a method for transpiling qubit circuits into qudit form and compares various regimes, highlighting potential advantages of qudits over traditional qubits.

Findings

Qudit transpilation regimes differ in gate decomposition methods.

Potential advantages of qudits demonstrated through circuit examples.

Workflow enables conversion and result translation between qubit and qudit forms.

Abstract

In this paper, we introduce the workflow for converting qubit circuits represented by Open Quantum ASseMbly format (OpenQASM, also known as QASM) into the qudit form for execution on qudit hardware and provide a method for translating qudit experiment results back into qubit results. We present the comparison of several qudit transpilation regimes, which differ in decomposition of multicontrolled gates: "qubit" as ordinary qubit transpilation and execution, "qutrit" with $d{=}3$ levels and single qubit in qudit and "ququart" with $d{=}4$ levels and 2 qubits per ququart. We provide several examples of transpiling circuits, which demonstrate potential advantages of qudits.