Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On quantum superpositions of graphs, no-signalling and covariance   We provide a mathematically and conceptually robust notion of quantum
superpositions of graphs. We argue that, crucially, quantum superpositions of
graphs require node names for their correct alignment, which we demonstrate
through a no-signalling argument. Nevertheless, node names are a fiducial
construct, serving a similar purpose to the labelling of points through a
choice of coordinates in continuous space. Graph renamings are understood as a
change of coordinates on the graph and correspond to a natively discrete
analogue of diffeomorphisms. We postulate renaming invariance as a symmetry
principle in discrete topology of similar weight to diffeomorphism invariance
in the continuous. We show how to impose renaming invariance at the level of
quantum superpositions of graphs.

37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom