PIRSA:10090069 Scientific Series Quantum Information

DOI10.48660/10090069

Series: Colloquium

Schumacher, B. (2010). Modal quantum theory. Perimeter Institute. https://pirsa.org/10090069

Schumacher, Ben. Modal quantum theory. Perimeter Institute, Sep. 22, 2010, https://pirsa.org/10090069 

@misc{ pirsa_PIRSA:10090069,
  doi = {10.48660/10090069},
  url = {https://pirsa.org/10090069},
  author = {Schumacher, Ben},
  keywords = {Quantum Information},
  language = {en},
  title = {Modal quantum theory},
  publisher = {Perimeter Institute},
  year = {2010},
  month = {sep},
  note = {PIRSA:10090069 see, \url{https://pirsa.org}}
}

Abstract

In this talk we will explore a "toy model" of quantum theory that is similar to actual quantum theory, but uses scalars drawn from a finite field. The set of possible states of a system is discrete and finite. Our theory does not have a quantitative notion of probability, but only makes the "modal" distinction between possible and impossible measurement results. Despite its very simple structure, our toy model nevertheless includes many of the key phenomena of actual quantum systems: interference, complementarity, entanglement, nonlocality, and the impossibility of cloning.

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