3 papers
quant-ph2023
Equivariant simplicial distributions and quantum contextuality
Cihan Okay, Igor Sikora
We introduce an equivariant version of contextuality with respect to a symmetry group, which comes with natural applications to quantum theory. In the equivariant setting, we const…
math.AT2023
Simplicial techniques for operator solutions of linear constraint systems
Ho Yiu Chung, Cihan Okay, Igor Sikora
A linear constraint system is specified by linear equations over the group $\ZZ_d$ of integers modulo . Their operator solutions play an important role in the study of quantum c…
math.AT2021
On the -graded coefficients of Eilenberg-MacLane spectra
Igor Sikora
Let denote the cyclic group of order two. Using the Tate diagram we compute the -graded coefficients of Eilenberg-MacLane -spectra and describe their structure as a m…