Discrete phase-space mappings, tomographic condition and permutation invariance
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 …