PIRSA:19120059

Quantum Computing with Equiangular Projections

Shokrian Zini, M. (2019). Quantum Computing with Equiangular Projections. Perimeter Institute. https://pirsa.org/19120059

Shokrian Zini, Modjtaba. Quantum Computing with Equiangular Projections. Perimeter Institute, Dec. 10, 2019, https://pirsa.org/19120059 

          @misc{ pirsa_PIRSA:19120059,
            doi = {10.48660/19120059},
            url = {https://pirsa.org/19120059},
            author = {Shokrian Zini, Modjtaba},
            keywords = {Quantum Information},
            language = {en},
            title = {Quantum Computing with Equiangular Projections},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {dec},
            note = {PIRSA:19120059 see, \url{https://pirsa.org}}
          }

Modjtaba Shokrian-Zini University of California

DOI 10.48660/19120059
Talk Type Scientific Series
Subject

Abstract

We will investigate a common property of the measurements used in measurement-based quantum computing paradigms. We will show how this relates to the notion of equiangular planes. We will ask when a continuous collection of such planes can give a universal model. Surprisingly, in a sense that will be made precise, octonionic lines turn out to be the unique answer. This research is motivated by the challenge to construct a measurement-based model that exploits chemical protection given by the symmetries of certain molecules.  A joint work with Michael Freedman and Zhenghan Wang.