We present a scheme to realize an economical
1→2 phase-covariant telecloning in separate cavities. In the scheme, an entangled state between a photon pulse and the tapped atoms will be prepared through cavity-assisted interaction. Next, the Bell state measurement is execute on the photon pulse and a trapped atom or another photon pulse on which the quantum information is encoded. In this way, the system can provide symmetric (asymmetric) economical
1→2 phase-covariant telecloning.
A scheme for implementing 1 → 2 symmetric economical phase-covariant telecloning of a bipartite entangled state is proposed based on a quantum logic network. The quantum circuits for preparing the telecloning channel and for teleporting the input state are presented, respectively. There is no ancilla needed for preparing the channel, and the fidelity of telecloning is enhanced. Due to only single- and two-qubit operations being used in the whole process, it can be easily implemented in experiment.
The quantum logic network to implement 1 → M symmetric economical phase-covariant telecloning is presented. The scheme includes two parts: the first part is used to create the telecloning channel and the second part to teleport the input state. The telecloning channel which works without ancilla is constructed by two kinds of elementary unitary transformations, single-qubit rotation and multiple-qubit controlled operation. The probability of success is 50%, which is the same with the scheme in [Meng, F.Y.; Zhu, A.D. J. Mod. Opt. 2009, 56, 1255–1259].