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Journal of Jiangxi Normal University

Quantum Teleportation of an Arbitrary Two-Qubit State by Using a Five-Qubit Cluster State

Yi-you Nie

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

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%.

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Deterministic teleportation of an arbitrary two-qubit state via a six-qubit cluster state

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Since decoherence caused by some environment is always present in practice, the quantum channels usually exist in the form of non-maximally entangled states instead of maximally entangled states. We present an approach to deterministically teleport an arbitrary two-qubit state with a probabilistic quantum channel composed of a one-dimensional six-qubit cluster state. To avoid damaging the states to be teleported, the channel is modulated in advance, and Hadamard transformation and Bell state measurement are applied instead of six qubit von Neumann measurement. The scheme is flexible because the channel can be modulated either by the sender or by the receiver, and we may decide which party modulates the channel according to the distribution of available particle and gate operation resources. Furthermore, we provide different ways of redistributing qubits between the sender and the receiver, as well as alternative solutions of constructing the scheme. Finally, for general cases, we extend this scheme to deterministic teleportation of an arbitrary n-qubit state.

Chinese Control Conference (CCC)•Jul 25, 2012•1 citation
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 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 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.
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 scheme for teleportation of an arbitrary two-qubit state using a four-qubit linear cluster-class state is proposed.Quantum teleportation can be successfully realized with a certain probability if the receiver can adopt an appropriate collective unitary transformation after receiving the sender's Bell-state measurement information.The scheme is more practical than previous ones using maximally entangled states as the quantum channel.In addition,an important conclusion is obtained from the above scheme that a maximally four-qubit entangled state(cluster state)is extracted from a single copy of the cluster-class state with the same probability as the teleportation.
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%.
Since decoherence caused by some environment is always present in practice, the quantum channels usually exist in the form of non-maximally entangled states instead of maximally entangled states. We present an approach to deterministically teleport an arbitrary two-qubit state with a probabilistic quantum channel composed of a one-dimensional six-qubit cluster state. To avoid damaging the states to be teleported, the channel is modulated in advance, and Hadamard transformation and Bell state measurement are applied instead of six qubit von Neumann measurement. The scheme is flexible because the channel can be modulated either by the sender or by the receiver, and we may decide which party modulates the channel according to the distribution of available particle and gate operation resources. Furthermore, we provide different ways of redistributing qubits between the sender and the receiver, as well as alternative solutions of constructing the scheme. Finally, for general cases, we extend this scheme to deterministic teleportation of an arbitrary n-qubit state.