My research interests span quantum computing, quantum information theory, operator algebra theory, and operator theory, with a particular focus on applying Jordan operator algebras (JOAs) to quantum simulations. I have made several contributions to the development and refinement of Trotter product formulas, enhancing the accuracy and efficiency of quantum computational simulations. My recent work includes establishing improved error estimation methods for first-order and higher-order Jordan-Trotter product formulas, providing advancements for quantum system simulations. In operator algebra, my work explores Jordan operator algebras and involutive operator algebras, addressing foundational questions such as the uniqueness of unitalization and real positivity. I notably contributed to extending classical results like Urysohn’s lemma, Tietze theorem and Stinespring factorization theorem to Jordan operator algebras, thereby broadening their applicability in mathematical physics and quantum information theory. Additionally, my studies in operator theory have addressed the properties and applications of operator means and geometric means within operator and Banach algebras.