Introduces weak partial monoids and simplicial effects, and claims a new simplicial effect beyond effect algebroids whose states match all density operators.
Equivariant simplicial distributions and quantum contextuality
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abstract
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 construct cohomology classes that can detect contextuality. This framework is motivated by the earlier topological approach to contextuality producing cohomology classes that serve as computational primitives in measurement-based quantum computing.
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Simplicial effects and weakly associative partial groups
Introduces weak partial monoids and simplicial effects, and claims a new simplicial effect beyond effect algebroids whose states match all density operators.