Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomological framework for contextual quantum computations   We describe a cohomological framework for measurement based quantum
computation, in which symmetry plays a central role. Therein, the essential
information about the computational output is contained in topological
invariants, namely elements of two cohomology groups. One of those invariants
applies to the deterministic case, and the other to the general probabilistic
case. The same invariants also witness quantumness in the form of
contextuality. In result, they give rise to fundamental algebraic structures
underlying quantum computation.

1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc