PIRSA:09060025 Conference Quantum Information

DOI10.48660/09060025

Conference/School: Categories, Quanta, Concepts (CQC) - 2009

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}}
}

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.

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