WQCES-2027

María José (MJ) Díaz Delgado is a Master's candidate in the M.S. in Physics – Quantum Computing (MSPQC) program at the University of Wisconsin–Madison, conducting research within Dr. Matthew Otten's Quantum Information Science group. Holding an undergraduate degree in Applied Mathematics, she brings a strong algebraic perspective to problems in quantum information science. Her current work focuses on Fermionic Classical Shadows (FCS), a randomized measurement framework for efficiently estimating properties of fermionic quantum states. She leverages rich algebraic structures—including Majorana operators, Z₂ parity symmetries, and algebraic maps—to optimize quantum state tomography and significantly reduce measurement complexity. By systematically exploiting these fundamental mathematical symmetries, MJ investigates methods to enhance the computational efficiency and scalability of shadow norms alongside advanced grouping strategies for complex many-body quantum systems and molecular Hamiltonians, with applications relevant to quantum simulation and quantum chemistry. Her interdisciplinary research bridges abstract algebra, quantum information theory, and computational physics to address and overcome exponential scaling bottlenecks in quantum state reconstruction.