Qutrit circuits and algebraic relations: A pathway to efficient spin-1 Hamiltonian simulation
- Fermilab
- Rigetti Computing
- PNL, Richland
- 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 -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:
- Argonne National Laboratory (ANL), Argonne, IL (United States); Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Pacific Northwest National Laboratory (PNNL), Richland, WA (United States); Rigetti Computing
- Sponsoring Organization:
- US Department of Energy; USDOE
- Grant/Contract Number:
- 89243024CSC000002; AC02-06CH11357; AC02-07CH11359; AC05-76RL01830
- OSTI ID:
- 2246733
- Alternate ID(s):
- OSTI ID: 2409377
OSTI ID: 2474524
- Report Number(s):
- FERMILAB-PUB-23-486-SQMS; PNNL-SA--190296; oai:inspirehep.net:2693502; arXiv:2309.00740
- Journal Information:
- Phys.Rev.A, Journal Name: Phys.Rev.A Journal Issue: 1 Vol. 109
- Country of Publication:
- United States
- Language:
- English
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Qutrit Circuits and Algebraic Relations: A Pathway to Efficient Spin-1 Hamiltonian Simulation
Conference
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Mon Aug 05 00:00:00 EDT 2024
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OSTI ID:2426447