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A Functorial Construction of Quantum Subtheories
May 08, 2017 Β· Declared Dead Β· π Entropy
"No code URL or promise found in abstract"
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Authors
Ivan Contreras, Ali Nabi Duman
arXiv ID
1705.02971
Category
math-ph
Cross-listed
cs.IT,
math.SG
Citations
0
Venue
Entropy
Last Checked
3 months ago
Abstract
We apply the geometric quantization procedure via symplectic groupoids proposed by E. Hawkins to the setting of epistemically restricted toy theories formalized by Spekkens. 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 \textbf{Rel} of the toy theories to the Frobenius algebra of stabilizer quantum mechanics.
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