Commutative d-torsion K-theory and its applications
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 that can be used for studying operator solutions of linear constraint systems. This provides an interesting connection between stable homotopy theory and quantum information theory.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Oct 01, 2021
- Source ID
- 10.1063/5.0040312
Entities
People
- Cihan Okay
Organizations
- Air Force Office of Scientific Research
- Bilkent University