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- W4382319486 abstract "The Lie-Trotter formula has been a fundamental tool in quantum mechanics, quantum computing, and quantum simulations. The error estimations for the Lie-Trotter product formula play a crucial role in achieving scalability and computational efficiency. In this note, we present two error estimates of Lie-Trotter product formulas, utilizing Jordan product within Banach algebras. Additionally, we introduce two generalized Lie-Trotter formula and provide two explicit estimation formulas. Consequently, the renowned Suzuki symmetrized approximation for the exponentiated sums cite[Formula 3, Equation (1.15)]{Suzuki1985} follows directly from Theorem 2.3." @default.
- W4382319486 created "2023-06-28" @default.
- W4382319486 creator A5048592635 @default.
- W4382319486 date "2023-06-23" @default.
- W4382319486 modified "2023-09-24" @default.
- W4382319486 title "Suzuki Type Estimates for Exponentiated Sums and Generalized Lie-Trotter Formulas in Banach Algebras" @default.
- W4382319486 doi "https://doi.org/10.48550/arxiv.2306.13791" @default.
- W4382319486 hasPublicationYear "2023" @default.
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