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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MDPI AG
2024-12-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/26/12/1129 |
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| author | Denis A. Drozhzhin Anastasiia S. Nikolaeva Evgeniy O. Kiktenko Aleksey K. Fedorov |
| author_facet | Denis A. Drozhzhin Anastasiia S. Nikolaeva Evgeniy O. Kiktenko Aleksey K. Fedorov |
| author_sort | Denis A. Drozhzhin |
| collection | DOAJ |
| description | 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. |
| format | Article |
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| institution | OA Journals |
| issn | 1099-4300 |
| language | English |
| publishDate | 2024-12-01 |
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| series | Entropy |
| spelling | doaj-art-e88f36d54d594d13b4135b66cb7a7f0f2025-08-20T02:00:33ZengMDPI AGEntropy1099-43002024-12-012612112910.3390/e26121129Transpiling Quantum Assembly Language Circuits to a Qudit FormDenis A. Drozhzhin0Anastasiia S. Nikolaeva1Evgeniy O. Kiktenko2Aleksey K. Fedorov3Laboratory of Quantum Information Technologies, National University of Science and Technology “MISIS”, Moscow 119049, RussiaLaboratory of Quantum Information Technologies, National University of Science and Technology “MISIS”, Moscow 119049, RussiaLaboratory of Quantum Information Technologies, National University of Science and Technology “MISIS”, Moscow 119049, RussiaLaboratory of Quantum Information Technologies, National University of Science and Technology “MISIS”, Moscow 119049, RussiaIn 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.https://www.mdpi.com/1099-4300/26/12/1129quditsquantum circuitsquantum algorithmstranspilationtrapped ionsOpenQASM |
| spellingShingle | Denis A. Drozhzhin Anastasiia S. Nikolaeva Evgeniy O. Kiktenko Aleksey K. Fedorov Transpiling Quantum Assembly Language Circuits to a Qudit Form Entropy qudits quantum circuits quantum algorithms transpilation trapped ions OpenQASM |
| title | Transpiling Quantum Assembly Language Circuits to a Qudit Form |
| title_full | Transpiling Quantum Assembly Language Circuits to a Qudit Form |
| title_fullStr | Transpiling Quantum Assembly Language Circuits to a Qudit Form |
| title_full_unstemmed | Transpiling Quantum Assembly Language Circuits to a Qudit Form |
| title_short | Transpiling Quantum Assembly Language Circuits to a Qudit Form |
| title_sort | transpiling quantum assembly language circuits to a qudit form |
| topic | qudits quantum circuits quantum algorithms transpilation trapped ions OpenQASM |
| url | https://www.mdpi.com/1099-4300/26/12/1129 |
| work_keys_str_mv | AT denisadrozhzhin transpilingquantumassemblylanguagecircuitstoaquditform AT anastasiiasnikolaeva transpilingquantumassemblylanguagecircuitstoaquditform AT evgeniyokiktenko transpilingquantumassemblylanguagecircuitstoaquditform AT alekseykfedorov transpilingquantumassemblylanguagecircuitstoaquditform |