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arXiv · 2006.07542

Commutative d-Torsion K-Theory and Its Applications

Cihan Okay
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Abstract

Commutative $d$-torsion $K$-theory is a variant of topological $K$-theory constructed from commuting unitary matrices of order dividing $d$. Such matrices appear as solutions of linear constraint systems that play a role in the study of quantum contextuality and in applications to operator-theoretic problems motivated by quantum information theory. Using methods from stable homotopy theory we modify commutative $d$-torsion $K$-theory into a cohomology theory which can be used for studying operator solutions of linear constraint systems. This provides an interesting connection between stable homotopy theory and quantum information theory.

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Cihan Okay. 2020-06-13. Commutative d-Torsion K-Theory and Its Applications. https://doi.org/10.1063/5.0040312

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