Commutative d-Torsion K-Theory and Its Applications
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866917696711426048 |
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| author | Okay, Cihan |
| author_facet | Okay, Cihan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_07542 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Commutative d-Torsion K-Theory and Its Applications Okay, Cihan Algebraic Topology Quantum Physics 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. |
| title | Commutative d-Torsion K-Theory and Its Applications |
| topic | Algebraic Topology Quantum Physics |
| url | https://arxiv.org/abs/2006.07542 |