PIRSA:19020069

Video URL

https://pirsa.org/19020069

Numerical decomposition of finite dimensional group representations

Rosset, D. (2019). Numerical decomposition of finite dimensional group representations. Perimeter Institute for Theoretical Physics. https://pirsa.org/19020069

Rosset, Denis. Numerical decomposition of finite dimensional group representations. Perimeter Institute for Theoretical Physics, Feb. 13, 2019, https://pirsa.org/19020069 

          @misc{ scivideos_PIRSA:19020069,
            doi = {10.48660/19020069},
            url = {https://pirsa.org/19020069},
            author = {Rosset, Denis},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Numerical decomposition of finite dimensional group representations},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2019},
            month = {feb},
            note = {PIRSA:19020069 see, \url{https://scivideos.org/index.php/pirsa/19020069}}
          }

Denis Rosset Romande Energie

Talk numberPIRSA:19020069
DOI10.48660/19020069
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

Group representations are ubiquitous in quantum information theory. Many important states or channels are invariant under particular symmetries: for example depolarizing channels, Werner states, isotropic states, GHZ states. Accordingly, computations involving those objects can be simplified by invoking the symmetries of the problem. For that purpose, we need to know which irreducible representations appear in the problem, and how. Decomposing a representation is a hard problem; however, we can cheat and use numerical techniques to approximate the change of basis matrix -- and even recover exact results.