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We present the explicit transformation of the suboptimal asymmetric economical 1→2 phase-covariant quantum cloning in d-dimension without ancilla. We also present its telecloning protocol, which differs from the general ones in which the symmetry of the transformations are required.

We derive the explicit transformation of the optimal symmetric economical 1 → M phase-covariant quantum cloning machine (EPCCM), which works without ancilla, as well as the corresponding fidelities in 2-dimension. The fidelity ( 1 → M = 2 k + 1 EPCCM ) is covered with previous contributions [G.M. D'Ariano, et al., Phys. Rev. A 71 (2005) 042327]. Meanwhile, the explicit transformation of the optimal symmetric 1 → M phase-covariant quantum cloning machine (PCCM) (working with ancilla) as well as the corresponding fidelities in 2-dimension is also derived. The results of the PCCM agree with previous contributions [H. Fan, et al., Phys. Rev. A 65 (2001) 012304].