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International Journal of Theoretical Physics

A Proposal of Telecloning for a Three-Particle Entangled W State

Li-Hua Yan, Gao Yun-feng, Jian-Gang Zhao

Published May 13, 2009• 11 citations
Publisher
DOI
10.1007/s10773-009-0037-7

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Acta Physica Sinica•Jan 1, 2007•2 citations
We study the 1→ N faithful telecloning of two linear-independent states of a one-qubit system. Based on the analysis of the probabilistic cloning machine, we construct a multiparticle entangled state, and present a telecloning scheme under local operations and classical communication (LOCC). The success probability is greater than half of the optimal probability of the probabilistic cloning machine. Specifically, we show how to prepare the three-particle entangled state needed by 1→2 telecloning under LOCC using the Greenberger-Horne-Zeilinger state as a resource. All the operations in 1→2 telecloning are within the reach of current technology.
We study the 1→N faithful telecloning of two linear-independent states of a one-qubit system.Based on the analysis of the probabilistic cloning machine,we construct a multiparticle entangled state,and present a telecloning scheme under local operations and classical communication (LOCC).The success probability is greater than half of the optimal probability of the probabilistic cloning machine.Specifically,we show how to prepare the three-particle entangled state meeded by 1→2 telecloning under LOCC using the Greenberger-Horne-Zeilinger state as a resource.All the operations in 1→2 telecloning are within the reach of current technology.
A scheme combining three processes of quantum teleportation, optimal universal quantum flipping and optimal universal quantum cloning for universal teleflipping and telecloning of arbitrary qubit is proposed. When a particular four-particle entangled state shared by the sender and three spatially separated receivers is used as quantum information channel, after the sender's Bell measurement, class ical communication and each receiver's local unitary operation, one receiver can get one orthogonal complementing state of the original unknown state with the o ptimal fidelity of 2/3, the other two receivers can respectively get one copy of the original unknown state with the optimal fidelity of 5/6. This scheme implem ents the universal quantum teleflipping and telecloning simultaneously with corr esponding optimal fidelity by using the reduced entanglement. The key to realizi ng this scheme is the construction of the particular four-particle entangled sta te shared by the sender and three receivers used as quantum information channel. The entanglement structure of the special four-particle entangled state is anal yzed.