PIRSA:09060025

Towards an abstract description of tensor product

Lehmann, D. (2009). Towards an abstract description of tensor product. Perimeter Institute. https://pirsa.org/09060025

Lehmann, Daniel. Towards an abstract description of tensor product. Perimeter Institute, Jun. 04, 2009, https://pirsa.org/09060025 

          @misc{ pirsa_PIRSA:09060025,
            doi = {10.48660/09060025},
            url = {https://pirsa.org/09060025},
            author = {Lehmann, Daniel},
            keywords = {Quantum Information, Quantum Foundations},
            language = {en},
            title = {Towards an abstract description of tensor product},
            publisher = {Perimeter Institute},
            year = {2009},
            month = {jun},
            note = {PIRSA:09060025 see, \url{https://pirsa.org}}
          }

Daniel Lehmann Hebrew University of Jerusalem

DOI 10.48660/09060025
Collection
Talk Type Conference
Subject

Abstract

Tensor product is described in a family of categories that includes Set and Hilbert spaces. Such categories admit a "scalar" object which enables a definition of bi-arrows with two domains, generalizing functions of two variables. The tensor product is characterized by the expected universal property relating bi-arrows to arrows.