Commutative d-Torsion K-Theory and Its Applications
- URL: http://arxiv.org/abs/2006.07542v3
- Date: Sun, 10 Oct 2021 19:58:33 GMT
- Title: Commutative d-Torsion K-Theory and Its Applications
- Authors: Cihan Okay
- Abstract summary: Commutative $d$-torsion $K$-theory is a variant of topological $K$-theory constructed from unitary matrices of order dividing $d$.
We modify commutative $d$-torsion $K$-theory into a cohomology theory which can be used for studying operator solutions of linear constraint systems.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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