Probabilistic ancilla-free phase-covariant telecloning of qudits with the optimal fidelity

Abstract

We study the ancilla-free $1\ensuremath{\rightarrow}2$ phase-covariant telecloning for qudits. We show that the fidelity of the two clones can probabilistically reach that of the clones in the optimal $1\ensuremath{\rightarrow}2$ phase-covariant cloning (involving an ancilla). More interestingly, that can realize the above nonlocal cloning tasks are suitable nonmaximally entangled states rather than the maximally entangled states.