Quantum Formalism Academy

Making Abstract Mathematics Accessible Since 2020.

Mathematical Foundations of Quantum Computing

$$\|x\|_{\Phi} = \sqrt{\sum_{i=1}^n \Phi_i x_i \overline{x_i}} = \sqrt{\sum_{i=1}^n \Phi_i |x_i|^2}, \quad (x \in \mathbb{C}^n).$$

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Meet the Instructors

Meu

Dr. Eugenia Celorrio (Meu) (Module I)

Meu is a Functional Analyst with a diverse range of research interests, primarily in Banach Algebras, Blaschke Products, and Evolution Algebras. She completed her PhD in Mathematics at Lancaster University, focusing on Arens regularity of Banach Algebras, a topic related to the extension of the product of a Banach algebra to its bidual, resulting in the first and second Arens products, which may or may not coincide.

Beyond her PhD research, Dr. Celorrio has worked with brilliant mathematicians on various topics, including the connection between Blaschke products and Poncelet’s theorem and the classification and applications of Evolution Algebras.

Currently, she is exploring the applications of Operator Algebras in Quantum Computing and Machine Learning at Zaiku Group.

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Max

Dr. Max Arnott (Module II)

Max specialises in Functional Analysis and completed his PhD at Lancaster University, focusing on bounded operators on Banach spaces.

He leads the development of advanced mathematical methods for the classical-to-quantum data encoding framework, with a particular emphasis on quantum machine learning. His recent work includes classical-to-quantum data encoding for biomedical applications such as DNA sequences and medical imaging, as well as designing quantum state preparation algorithms tailored for biomedical use.

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