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Acta Sinica Quantum Optica

A Theoretical Analysis of Teleportation of N Particle Quantum State

Xin-Wei Zha

Published Jan 1, 2009• 1 citation
OpenAlex

Abstract

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.

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理论物理通讯：英文版•Jan 1, 2005•0 citations
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.
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.
The teleportation of an arbitrary n-particle state (n ≥ 1) is proposed if n pairs of identical EPR states are utilized as quantum channels. Independent Bell state measurements are performed for joint measurement. By using a special Latin square of order 2n(n ≥ 1), explicit expressions of outcomes after the Bell state measurements by Alice (sender) and the corresponding unitary transformations by Bob (receiver) can be derived. It is shown that the teleportation of n-particle state can be implemented by a series of single-qubit teleportation.
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.
A new representation of an arbitrary and unknown N -particle state is presented at first. As an application, a scheme for teleporting an arbitrary and unknown N -particle state is proposed when N pairs of two-particle non-maximally entangled states are utilized as quantum channels. After Alice (sender) makes Bell-state measurement on her particles, Bob (recipient) introduces an auxiliary particle and carries out appropriate unitary transformation on his particle and the auxiliary particle depending on classical information from Alice. Then, von Neumann measurement that confirms whether the teleportation succeeds or not is performed by Bob on the auxiliary particle. In order to complete the teleportation, another N -1 times operations need to be performed which are similar to the above ones. It can be successfully realized with a certain probability which is determined by the product of the smaller coefficients of non-maximally entangled pairs. All possible unitary transformations are given in detail.
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.