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

by Sarah Chehade
Publication Type
Journal
Journal Name
Linear Algebra and its Applications
Publication Date
Page Numbers
156 to 169
Volume
680
Issue
1

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. We also extended the Lie-Trotter formulas in a Jordan Banach algebra from three elements to an arbitrary number of elements.