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Journal of Jiangxi Normal University

Controlled Quantum Teleportation via Six-Qubit Cluster State

Yi-you Nie

Published Jan 1, 2010• 0 citations
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Abstract

A new scheme for controlled teleportation of an arbitrary single-qubit state is proposed in detail,using a six-qubit cluster state as quantum channel.For an arbitrary single-qubit state,the sender performs a joint von Neumann measurement on the five qubits of his own,and the controller performs a single-qubit projective measurement,then the receiver can reconstruct the arbitrary single-qubit state by performing some appropriately unitary transformations on his qubit after he knows the measurement results of both the sender and the controller.The probability of the success of the program is 100%.

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A new scheme for controlled teleportation of an arbitrary single-qubit state is proposed in detail,using a six-qubit cluster state as quantum channel.For an arbitrary single-qubit state,the sender performs a joint von Neumann measurement on the five qubits of his own,and the controller performs a single-qubit projective measurement,then the receiver can reconstruct the arbitrary single-qubit state by performing some appropriately unitary transformations on his qubit after he knows the measurement results of both the sender and the controller.The probability of the success of the program is 100%.
A scheme of quantum teleportation of an arbitrary two-qubit state by using a five-qubit cluster state as the quantum channel is proposed.In the scheme,the sender needs to perform five-qubit joint von-Neumann measurement on her qubits,the receiver can reconstruct the arbitrary two-qubit by performing some appropriately unitary transformations on his qubits after he knows the measured results of the sender.This teleportation scheme is deterministic,and the probability of successful teleportation is 100%.
A new application of the five-qubit cluster state is investigated for economic and simple controlled teleportation of an arbitrary two-qubit state.In this scheme,a five-qubit cluster state is shared by a sender(Alice),a controller(Charlie)and a receiver(Bob),and the sender only needs to perform Bell-state measurements and the controller performs a single-qubit projective measurement.The receiver can reconstruct the arbitrary two-qubit state by performing some appropriate unitary transformations on his qubits after he knows the measured results of both the sender and the controller.This controlled teleportation scheme is deterministic,and the probability of successful controlled teleportation is 100%.In comparison with the controlled teleportation scheme using the same quantum channel,the proposed scheme do not need to make multi-particle joint measurement that makes this scheme simpler.
A new scheme for controlled teleportation of an arbitrary two-particle state is proposed in detail,using a four-particle cluster state as quantum channel and EPR state to achieve control.First of all,the sender applies to the controller,and then the controller performs the Bell-based measurement on the two particles of his own.And the controller notifies the sender to achieve entanglement swapping.Then,the sender makes the appropriate unitary transformation and performs a Newman measurements on the four particles of his own.And the results inform the receiver.According to the sender's measurement results,the receiver can reconstruct the arbitrary two-particle state after he makes the appropriate unitary transformation on his own particles.The success probability of the program is 100%.
In order to complete the quantum teleportation,we propose a quantum teleportation scheme of arbitrary twoqubit cluster state by using a four-qubit cluster state based on quantum entanglementphenomenon in this paper. In this scheme,the sender and the receiver share a four-qubit cluster state. The sender first performs a joint von-Neumann measurement on the qubits in his hand. And he sends the measurement results to the receiver through the classical channel. The receiver performs corresponding unitary operation according to the measurement results he received. In the process of this communication,the sender does not tell the original arbitrary two-qubit cluster state to the receiver,but he reconstructs the arbitrary two-qubit state. The quantum teleportation comes true through these processes and the mutual communication is completed.
A general scheme for controlled teleportation of an arbitrary single-qubit state with four-qubit asymmetric state is proposed.In this scheme, the sender performs Bell measurement on his particle, the two controllers and the receiver perform joint unitary operation on the rest particles.Finally, the receiver can reconstruct the single particle by introducing an auxiliary particle, he first does unitary transformation on his particle and the auxiliary particle, then performs a Von Neumann measurement on the auxiliary particle.Thus the scheme can be realized in certain probability.
It is shown that a maximally seven-qubit state can be utilized for perfect teleportation of arbitrary three qubit systems and controlled teleportation of an arbitrary three qubit state. For perfect teleportation, the sender first performs a Von-Neumann measurement on her qubits, then the sender(Alice) tells the measurement result to the receiver(Bob) via a classical channel, the receiver can reconstruct the original state by performing appropriate unitary transformations on his qubits at hand. For controlled teleportation, the sender firstly carries out proper Bell-state measurements and the controller(charlie) needs to operate a single-qubit measurement, the receiver can reconstruct the original state by applying appropriate unitary transformations on his qubits after he knows the measurement results of both the sender and controller. Besides, the two teleportation schemes can be realized with the maximal probability.