Suzuki type estimates for exponentiated sums and generalized Lie-Trotter formulas in JB-algebras

Journal Article · Tue Oct 10 00:00:00 EDT 2023 · Linear Algebra and Its Applications

DOI:https://doi.org/10.1016/j.laa.2023.10.004· OSTI ID:2204575

Chehade, Sarah ^[1]; Wang, Shuzhou ^[2]; Wang, Zhenhua ^[3]

---

1. Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
2. University of Georgia, Athens, GA (United States)
3. University of Georgia, Athens, GA (United States); Alabama A&M University, Normal, AL (United States)

Lie-Trotter-Suzuki product formulas are ubiquitous in quantum mechanics, computing, and simulations. Approximating exponentiated sums with such formulas are investigated in the JB-algebraic setting. We show that the Suzuki type approximation for exponentiated sums holds in JB-algebras, we give explicit estimation formulas, and we deduce three generalizations of Lie-Trotter formulas for arbitrary number elements in such algebras. In conclusion, we also extended the Lie-Trotter formulas in a Jordan Banach algebra from three elements to an arbitrary number of elements.

• Research Organization: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
• Grant/Contract Number: AC05-00OR22725
• OSTI ID: 2204575
• Journal Information: Linear Algebra and Its Applications, Journal Name: Linear Algebra and Its Applications Journal Issue: 1 Vol. 680; ISSN 0024-3795
• Publisher: Elsevier
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
JB-algebra
Jordan-Banach algebra
Lie-Trotter formula
Suzuki approximation