Qutrit Circuits and Algebraic Relations: A Pathway to Efficient Spin-1 Hamiltonian Simulation

Conference · Mon Aug 05 04:00:00 EDT 2024

DOI:https://doi.org/10.2172/2426447· OSTI ID:2426447

Ogunkoya, Oluwadara ^[1]; Kim, Joonho ^[2]; Peng, Bo ^[3]; Baris Ozguler, Baris Ozguler ^[1]; Aleexlev, Yuri ^[4]

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1. Fermilab
2. Rigetti Computing
3. PNNL
4. Argonne

Quantum information processing has witnessed significant advancements through the application of qubit- based techniques within universal gate sets. Recently, exploration beyond the qubit paradigm to d-dimensional quantum units or qudits has opened new avenues for improving computational efficiency. This paper delves into the qudit-based approach, particularly addressing the challenges presented in the high-fidelity implementation of qudit-based circuits due to increased complexity. As an innovative approach towards enhancing qudit circuit fidelity, we explore algebraic relations, such as the Yang-Baxter-like turnover equation, which may enable circuit compression and optimization. The paper introduces the turnover relation for the three-qutrit time propagator and its potential use in reducing circuit depth. We further investigate whether this relation can be generalized for higher-dimensional quantum circuits, including a focused study on the one-dimensional spin-1 Heisenberg model. Our paper outlines both rigorous and numerically efficient approaches to potentially achieve this generalization, providing a foundation for further explorations in the field of qudit-based quantum computing.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Argonne National Laboratory (ANL), Argonne, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
• Contributing Organization: SQMS
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 2426447
• Report Number(s): FERMILAB-SLIDES-24-0030-SQMS; oai:inspirehep.net:2814367
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS