My research explores how symmetry organizes quantum matter and how these principles can be harnessed for quantum technology. While symmetry is central to modern physics, newly recognized “generalized symmetries” are still poorly understood in the discrete systems that describe real materials and quantum devices. Bringing together ideas from condensed matter physics, quantum information, mathematics, and computer science, I will develop a rigorous framework for generalized symmetries on the lattice, determine how they constrain phases of matter and phase transitions, and show how they can be practically implemented through quantum evolution and measurement. I will then apply these ideas to design new quantum error-correcting codes and scalable fault-tolerant quantum computation. By linking abstract theory to experimentally relevant protocols, this proposal will advance both fundamental science and the technology required for scalable quantum computing.
Fellow