Topological quantum matter and quantum computing

          @misc{ scivideos_PIRSA:23010084,
            doi = {10.48660/23010084},
            url = {https://pirsa.org/23010084},
            author = {Lu, Peter},
            keywords = {},
            language = {en},
            title = {Topological quantum matter and quantum computing},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2023},
            month = {jan},
            note = {PIRSA:23010084 see, \url{https://scivideos.org/pirsa/23010084}}
          }
          

Abstract

Interacting quantum particles can form non-trivial states of matter characterized by topological order, which features several unconventional properties such as topological degeneracy and fractionalized quasiparticles. In addition, it also provides a promising platform for realizing quantum computing in a robust manner. In this series of lectures, I will introduce the basics of topological order and its connection to quantum computing from various aspects involving lattice models, symmetry, and entanglement structure. Several frontier topics such as fracton topological phases, self-correcting quantum memory, state preparation, and quantum LDPC codes will be briefly discussed.