Synthesis of Single Qutrit Circuits from Clifford + R Gates

Conference · Tue Mar 18 00:00:00 EDT 2025 · No journal information

DOI:https://doi.org/10.2172/2550650· OSTI ID:2550650

Murairi, Edison Murongani ^[1]; Gustafson, Erik ^[2]; Lamm, Henry ^[1]; Liu, Diiyi; Zhu, Shuchen ^[3]

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1. Fermilab
2. Universities Space Research Assoc.
3. Duke U.

The Clifford + R gate-set is a promising basis for fault-tolerant synthesis of qutrit unitaries. We present an algorithm for approximating an arbitrary single-qutrit unitary with a circuit over the Clifford + R gates. Moreover, we analyze its complexity and obtain the non-Clifford gates cost.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Duke U.; Universities Space Research Assoc.
• Sponsoring Organization: US Department of Energy
• DOE Contract Number: 89243024CSC000002
• OSTI ID: 2550650
• Report Number(s): FERMILAB-SLIDES-25-0033-SQMS-T; oai:inspirehep.net:2906509
• Journal Information: No journal information, Journal Name: No journal information
• Country of Publication: United States
• Language: English