PIRSA:14070001

Overview of the theory of spin glasses and its applications to quantum codes

Nishimori, H. (2014). Overview of the theory of spin glasses and its applications to quantum codes. Perimeter Institute. https://pirsa.org/14070001

Nishimori, Hidetoshi. Overview of the theory of spin glasses and its applications to quantum codes. Perimeter Institute, Jul. 14, 2014, https://pirsa.org/14070001 

          @misc{ pirsa_PIRSA:14070001,
            doi = {10.48660/14070001},
            url = {https://pirsa.org/14070001},
            author = {Nishimori, Hidetoshi},
            keywords = {},
            language = {en},
            title = {Overview of the theory of spin glasses and its applications to quantum codes},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {jul},
            note = {PIRSA:14070001 see, \url{https://pirsa.org}}
          }

Hidetoshi Nishimori Tokyo Institute of Technology

DOI 10.48660/14070001
Collection
Talk Type Conference

Abstract

I will review the theory of spin glasses with an emphasis on gauge symmetry. A number of exact results will be shown to be derived, some of which are useful to discuss the properties of quantum LDPC codes. Also will be explained is the combination of gauge symmetry, replica method, and duality argument to predict the precise location of a multicritical point, which is equivalent to the error-tolerance limit of toric code.