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Acta Sinica Quantum Optica

Teleportation of a N-particle entangled state

Yi-Qi Wang

Published Jan 1, 2005• 0 citations
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Abstract

In this letter, a scheme of teleporting a N-particle entangled state is proposed. n EPR states are used as quantum channels, the sender wants to teleport a quantum state to the receiver, She makes n Bell-state measurement on particles belong to her, and sends the results of measurement through a classical information channel to the receiver, According to the measurement results of the sender, the receiver performs a respective unitary operator on particles belong to him. The teleportation is successfully realized, and the probability of successful telepotation is one. It is different from the scheme in ref. [7], the quantum logic circuit may be presented easily.

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In this letter, a scheme of teleporting a N-particle entangled state is proposed. n EPR states are used as quantum channels, the sender wants to teleport a quantum state to the receiver, She makes n Bell-state measurement on particles belong to her, and sends the results of measurement through a classical information channel to the receiver, According to the measurement results of the sender, the receiver performs a respective unitary operator on particles belong to him. The teleportation is successfully realized, and the probability of successful telepotation is one. It is different from the scheme in ref. [7], the quantum logic circuit may be presented easily.
In this scheme, N pairs of non-maximally entangled particle are used as quantum channel to teleport an unknown N-particle entangled W state via entanglement swapping, which has more generality. In order to realize this teleportation, the sender Alice performs Bell-measurements on particles belonging to her. Then the sender sends the results to the receiver Bob through the classical channel. According to the results, Bob performs a corresponding unitary on particles to reconstruct the original state. And then, teleporting an unknown three-particle entangled W state is presented.
In this paper, quantum teleportation of one-to-many using ( n +1)-particle entanglement is presented. If the sender (Alice) wants to transmit an unknown quantum state to a distant receiver (Bob), similar to the previous schemes, Alice performs Bell-state measurement on particles belonging to herself and informs the receiver the results through the classical channel. After that, it needs to perform the Hadamard operation on the other ( n −1) particles and measure them as well. With the aid of the measurement results, Bob can operate a corresponding unitary transformation on his particle to reconstruct the original state. Of course, the reconstruction may realize at either location of n , but it cannot realize at all locations at the same time.
A scheme for teleporting an arbitrary three-particle W state from a sender to either of the two receivers is proposed,where the three three-particle W states quantum channel are taken as quantum channels.There are two ways to realize the intention of teleportation.It is proved that,for such maximally entangled quantum channels,there is still a certain probability of successful teleportation if the sender performs three generalized Bell-state measurements while either of the two receivers performs an appropriate unitary transformation with the help of the other suitable measurements in the basis of {|0,|1} and classical information;on the other hand,the probability of successful teleportation is not affected by the order of operations.The present scheme may be directly generalized to teleport an unknown N-particle W state from a sender to either of the two receivers by using N W states as quantum channels,as well as performing N Bell measurements.
In the process of Quantum teleportation if an arbitrary N particle quantum state teleportation is realized,the sender Alice and receiver Bob should establish a quantum channel which is a nonlocal 2N entangled particle.The sonder does n times Bell-state measurements to the N particle quantum state,which needs to be send,and those particles belongs to its entangled particle.There will be 22N callapses states and 22N transformation operators.In this paper both formula of the transformation operators and the relationship among 22N transformation operators are given.The possibility of success and the necessary condition of quantum teleportation are also discussed.