SU(4) Gate Design via Unitary Process Tomography: Its Application to Cross-Resonance-Based Superconducting Quantum Devices

In this article, we present a novel approach for implementing pulse-efficient SU(4) gates on cross resonance (CR)-based superconducting quantum devices. Our method introduces a parameterized unitary derived from the CR-Hamiltonian propagator, which accounts for <inline-formula><tex-math not...

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Bibliographic Details
Main Authors: Michihiko Sugawara, Takahiko Satoh
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Transactions on Quantum Engineering
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Online Access:https://ieeexplore.ieee.org/document/11068109/
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Summary:In this article, we present a novel approach for implementing pulse-efficient SU(4) gates on cross resonance (CR)-based superconducting quantum devices. Our method introduces a parameterized unitary derived from the CR-Hamiltonian propagator, which accounts for <inline-formula><tex-math notation="LaTeX">$ZZ$</tex-math></inline-formula>-interactions. Leveraging the Weyl chamber&#x0027;s geometric structure, we successfully realize a continuous two-qubit basis gate, <inline-formula><tex-math notation="LaTeX">$R_{ZZ}(\theta)$</tex-math></inline-formula>, as an echo-free pulse schedule on the IBM Quantum device <monospace>ibm_kawasaki</monospace>. We evaluate the average fidelity and gate time of various SU(4) gates generated using <inline-formula><tex-math notation="LaTeX">$R_{ZZ}(\theta)$</tex-math></inline-formula> to confirm the advantages of our implementation.
ISSN:2689-1808