Fig. 3. Cloning fidelities for various MUBs and cloning of Gaussian states in dimension d = 7.

(A) Probability $\mathcal{P}(|\mathit{i}\rangle ,|\mathrm{\psi }\rangle )$ of detection of an output cloned state |i〉 given an input state |ψ〉, where |i〉 and |ψ〉 belong to a specific MUB. This set of measurement is repeated for all d + 1 MUBs (I) to (VIII), in dimension 7. The on-diagonal elements represent the cloning fidelities for each element of a given basis. (B) Theoretical and experimental high-dimensional cloning of a Gaussian state. The cloned fidelity is obtained by calculating the overlap of the reduced density matrix of the cloned state with the input state. The experimental reduced density matrix of the cloned state is obtained by full quantum state tomography. The experimentally reconstructed density matrices of the Gaussian state before and after cloning are shown along with their theoretical counterparts.