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International Conference on Computer, Mechatronics, Control and Electronic Engineering

Quantum Teleportation of a Three-qubit State using a Four-qubit Entangled State

Bo Zhang, Xingtong Liu, Jian Wang, Chaojing Tang

Published Jan 1, 2015• 2 citations
Publisher

Abstract

had shown that a special form of three-qubit entangled state can be teleported by using a fivequbit cluster state.However, we demonstrate that five-qubit cluster state and five-qubit von-Neumann projective measurements are not necessary to complete the protocol.The special three-qubit state can be teleported via a four-qubit entangled state, by introducing one ancillary qubit and one controlled-not operation.Physical realization of the proposed four-qubit entangled state and the generalization to teleport the multi-qubit state is also presented.

DOI
10.2991/iccmcee-15.2015.36

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had shown that a special form of three-qubit entangled state can be teleported by using a fivequbit cluster state.However, we demonstrate that five-qubit cluster state and five-qubit von-Neumann projective measurements are not necessary to complete the protocol.The special three-qubit state can be teleported via a four-qubit entangled state, by introducing one ancillary qubit and one controlled-not operation.Physical realization of the proposed four-qubit entangled state and the generalization to teleport the multi-qubit state is also presented.
Abstract Based on the four-qubit cluster state as quantum channel, we put forward a novel scheme for teleporting a two-qubit arbitrary entangled state. The necessary quantum operations for accomplishing the task are two controlled-not gate operations, one controlled-phase gate operation, four single-qubit measurements and two single-qubit transformed operations. They are easily achievable with current experimental techniques. Besides, the present scheme is deterministic because its probability of success 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 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 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.
Abstract A quantum channel using two four-qubit cluster states was constructed and the controllable quantum teleportation of an unknown four-qubit W state via this channel was investigated. After three Bell-basis measurements, a Hadamard operation, and two single-qubit projective measurements of the sender Alice and controller Charlie, the recorded measurement results are sent to the receiver Bob via a classical channel. Bob then performs the associated unitary transformation based on the received classical information, after which the unknown four-qubit W state can be teleported with success probability 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%.