4 citations · 10 across the 11 of their papers we have counts for
11 papers
Error Estimates and Higher Order Trotter Product Formulas in Jordan-Banach Algebras
Sarah Chehade, Andrea Delgado, Shuzhou Wang +1
In quantum computing, Trotter estimates are critical for enabling efficient simulation of quantum systems and quantum dynamics, help implement complex quantum algorithms, and provi…
Lie-Trotter means in JB-algebras
Zhenhua Wang
We initiate the study of Lie-Trotter means in JB-algebras, which is an extension of Lie-Trotter formulas in JB-algebras. We show that two-variable Lie-Trotter means include the wei…
Suzuki Type Estimates for Exponentiated Sums and Generalized Lie-Trotter Formulas in Banach Algebras
Zhenhua Wang
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…
Suzuki Type Estimates for Exponentiated Sums and Generalized Lie-Trotter Formulas in JB-Algebras
Sarah Chehade, Shuzhou Wang, Zhenhua Wang
Lie-Trotter-Suzuki product formulas are ubiquitous in quantum mechanics, computing, and simulations. Approximating exponentiated sums with Jordan product formulas are investigated…
Refined operator inequalities for relative operator entropies
Shuzhou Wang, Zhenhua Wang
In this paper, we investigate the relative operator entropies in the more general settings of C*-algebras, real C*-algebras and JC-algebras. We show that all the operator inequalit…
Relative operator entropies and Tsallis relative operator entropies in JB-algebras
Shuzhou Wang, Zhenhua Wang
We initiate the study of relative operator entropies and Tsallis relative operator entropies in the setting of JB-algebras. We establish their basic properties and extend the opera…
Operator means in JB-algebras
Shuzhou Wang, Zhenhua Wang
In this paper, the notion of operator means in the setting of JB-algebras is introduced and their properties are studied. Many identities and inequalities are established, most of…
Jordan operator algebras revisited
David P. Blecher, Zhenhua Wang
Jordan operator algebras are norm-closed spaces of operators on a Hilbert space with a^2 in A for all a in A. In two recent papers by the authors and Neal, a theory for these space…
Involutive operator algebras
David P. Blecher, Zhenhua Wang
Examples of operator algebras with involution include the operator -algebras occurring in noncommutative differential geometry studied recently by Mesland, Kaad, Lesch, and othe…
Jordan operator algebras: Basic theory
David P. Blecher, Zhenhua Wang
Jordan operator algebras are norm-closed spaces of operators on a Hilbert space which are closed under the Jordan product. The discovery of the present paper is that there exists a…
Roots in operator and Banach algebras
David P. Blecher, Zhenhua Wang
We show that several known facts concerning roots of matrices generalize to operator algebras and Banach algebras. We show for example that the so-called Newton, binomial, Visser,…