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Journal of Modern Optics

Scheme for implementing 1 → 2 symmetric economical phase-covariant telecloning of bipartite entangled state based on quantum logic network

Fanyu Meng, Ai‐Dong Zhu

Published Jun 20, 2009• 3 citations
Publisher

Abstract

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.

DOI
10.1080/09500340903039457

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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].
A quantum logic network to implement quantum telecloning is presented in this paper. The network includes two parts: the first part is used to create the telecloning channel and the second part to teleport the state. It can be used not only to implement universal telecloning for a bipartite entangled state which is completely unknown, but also to implement the phase-covariant telecloning for one that is partially known. Furthermore, the network can also be used to construct a tele-triplicator. It can easily be implemented in experiment because only single- and two-qubit operations are used in the network.
We present a scheme to realize an economical 1→21 \to 21→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→21 \to 21→2 phase-covariant telecloning.
A scheme for telecloning without the Bell-state measurement on cavity QED is proposed.The present protocol is based on the resonance of the atoms and the cavity mode.The advantages of the proposal are mainly as follows.One is that the required time for the whole procedure is short due to the resonance. The other one is that we need no any single-qubit rotating operation on the atoms,which makes the experimental setup simple.Furthermore,the present scheme is feasible based on currently available technologies.