A Functorial Construction of Quantum Subtheories

نویسندگان

  • Ivan Contreras
  • Ali Nabi Duman
چکیده

We apply the geometric quantization procedure via symplectic groupoids proposed by E. Hawkins to the setting of epistemically restricted toy theories formalized by Spekkens [21]. In the continuous degrees of freedom, this produces the algebraic structure of quadrature quantum subtheories. In the odd-prime finite degrees of freedom, we obtain a functor from the Frobenius algebra in Rel of the toy theories to the Frobenius algebra of stabilizer quantum mechanics.

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عنوان ژورنال:
  • Entropy

دوره 19  شماره 

صفحات  -

تاریخ انتشار 2017