TY - JOUR
T1 - Suzuki type estimates for exponentiated sums and generalized Lie-Trotter formulas in JB-algebras
AU - Chehade, Sarah
AU - Wang, Shuzhou
AU - Wang, Zhenhua
N1 - Publisher Copyright:
© 2023 Elsevier Inc.
PY - 2024/1/1
Y1 - 2024/1/1
N2 - 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.
AB - 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.
KW - JB-algebra
KW - Jordan-Banach algebra
KW - Lie-Trotter formula
KW - Suzuki approximation
UR - http://www.scopus.com/inward/record.url?scp=85174201360&partnerID=8YFLogxK
U2 - 10.1016/j.laa.2023.10.004
DO - 10.1016/j.laa.2023.10.004
M3 - Article
AN - SCOPUS:85174201360
SN - 0024-3795
VL - 680
SP - 156
EP - 169
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
ER -