Quantum tomograms from intermediate entangled states

We show that for quantum tomography there exist two mutually conjugating intermediate coordinate-momentum entangled states |η1,η2〉λ,ν and |ς1,ς2〉σ,τ. The Radon transforms of the Wigner operators are just the pure-state density matrices |η1,η2〉λ,ν〈λ,νη1,η2| and |ς1,ς2〉σ,τ〈σ,τς1,ς2|, respectively. As a result, the tomogram of quantum states is the module-square of their wave function in these representations. A new convenient formalism of quantum tomogram is thus established.