Transpiling Quantum Assembly Language Circuits to a Qudit Form

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...

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Bibliographic Details
Main Authors: Denis A. Drozhzhin, Anastasiia S. Nikolaeva, Evgeniy O. Kiktenko, Aleksey K. Fedorov
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Entropy
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Online Access:https://www.mdpi.com/1099-4300/26/12/1129
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Summary: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: <b>qubit</b> as ordinary qubit transpilation and execution, <b>qutrit</b> with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>d</mi><mrow><mspace width="3.33333pt"></mspace><mo>=</mo><mspace width="3.33333pt"></mspace></mrow><mn>3</mn></mrow></semantics></math></inline-formula> levels and single qubit in qudit, and <b>ququart</b> with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>d</mi><mrow><mspace width="3.33333pt"></mspace><mo>=</mo><mspace width="3.33333pt"></mspace></mrow><mn>4</mn></mrow></semantics></math></inline-formula> levels and 2 qubits per ququart. We provide several examples of transpiling circuits for trapped ion qudit processors, which demonstrate potential advantages of qudits.
ISSN:1099-4300