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Canadian Journal of Physics

An efficient quantum teleportation of six-qubit state via an eight-qubit cluster state

Nan Zhao, Min Li, Nan Chen, Changxing Pei

Published Nov 23, 2017• 8 citations
Publisher

Abstract

We present a scheme for teleporting a certain class of six-particle state via an eight-particle cluster state as quantum channel. In our scheme, the sender merely needs to perform an eight-particle von-Neumann projective measurement, and the receiver gives a corresponding general evolution to restore the original state. Our scheme is a deterministic scheme. Compared with other schemes proposed before, our scheme possesses higher intrinsic efficiency.

DOI
10.1139/cjp-2017-0527

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We present a scheme for teleporting a certain class of six-particle state via an eight-particle cluster state as quantum channel. In our scheme, the sender merely needs to perform an eight-particle von-Neumann projective measurement, and the receiver gives a corresponding general evolution to restore the original state. Our scheme is a deterministic scheme. Compared with other schemes proposed before, our scheme possesses higher intrinsic efficiency.
As a significant communication method for transferring quantum state, quantum teleportation is the foundation of scalable quantum network and distributed quantum computation. Here a novel quantum teleportation protocol for eight-qubit state by utilizing a quantum channel of six-particle cluster state is proposed. In our scheme, multiple controlled-NOT operations and von-Neumann projective measurement are adopted to reconstruct the received quantum state with deterministic probability. Computational results show that higher efficiency can be achieved by our scheme.
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%.
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.
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%.
Quantum teleportation is considered as the most basic process of quantum communication. It is undoubtedly beneficial for the realization of quantum teleportation while transmitting the maximum number of quantum bits with the minimum number of quantum channel resources. An improved bidirectional quantum teleportation protocol based on a quantum channel of six-qubit cluster state is proposed. In this paper, the user Alice can transmit an unknown three-qubit entangled state to the user Bob, and at the same time, the user Bob can transmit an arbitrary single-qubit state to the user Alice by utilizing GHz-state measurement, bell-state measurement, single-qubit Von Neumann measurement, and unitary operations. Compared with other schemes in quantum resource consumption, necessary operation complexity including operation difficulty and intensity, classical resource consumption, quantum information bits transmitted, and intrinsic efficiency, our scheme has the remarkable advantages in transmitting more quantum information and possesses higher intrinsic efficiency.
This paper presents an approach to deterministically teleport an arbitrary two-qubit state through a one-dimensional four-qubit cluster state serving as a probabilistic quantum channel. The channel is modulated in advance to avoid damage to the original states in this scheme, which is caused by the inevitable failure of constructing a channel between the sender and the receiver. The scheme is flexible because the channel can be modulated either by the sender or by the receiver, with the option of deciding whether the sender or the receiver modulates the channel, according to the distribution of the available particle resources. The efficiency can be improved by reusing previously discarded results that may lead to a faithful channel. The scheme can be uniformly performed, so the design process can be greatly simplified to realize a reliable deterministic teleportation. Finally, the scheme is extended to deterministic teleportation of an arbitrary n-qubit state in a generalized form.