Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete phase-space mappings, tomographic condition and permutation
  invariance   We analyze different families of discrete maps\ in the N-qubit systems in the
context of the permutation invariance. We prove that the tomographic condition
imposed on the self-dual (Wigner) map is incompatible with the requirement of
the invariance under particle permutations, which makes it impossible to
project the Wootters-like Wigner function into the space of symmetric
measurements. We also provide several \textit{explicit} forms of the self-dual
mappings: a) tomographic and b) permutation invariant \ and analyze the
symmetric projection in the latter case.

21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int