PIRSA:07060016

Multiplicativity and Strong Multiplicativity of Norms on Transformations

APA

Rosgen, B. (2007). Multiplicativity and Strong Multiplicativity of Norms on Transformations. Perimeter Institute. https://pirsa.org/07060016

MLA

Rosgen, Bill. Multiplicativity and Strong Multiplicativity of Norms on Transformations. Perimeter Institute, Jun. 02, 2007, https://pirsa.org/07060016

BibTex

          @misc{ pirsa_PIRSA:07060016,
            doi = {10.48660/07060016},
            url = {https://pirsa.org/07060016},
            author = {Rosgen, Bill},
            keywords = {Quantum Information},
            language = {en},
            title = {Multiplicativity and Strong Multiplicativity of Norms on Transformations},
            publisher = {Perimeter Institute},
            year = {2007},
            month = {jun},
            note = {PIRSA:07060016 see, \url{https://pirsa.org}}
          }
          

Bill Rosgen Institute for Quantum Computing (IQC)

Abstract

Proving the additivity of the classical capacity of quantum channels is a major open problem in quantum information.  This problem is related to the multiplicativity of certain norms with respect to the tensor product.  These problems are introduced and some approached to resolving them are discussed.  Several special cases that have been solved are also mentioned.