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Journal of Jiangxi Normal University

Controlled Teleportation of Unknown Two-particle State Based on Four-Particle Partly Entangled State

Yi-you Nie

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

We propose a scheme for controlled teleportation of a unknown two-particle state using a four-particle partly entangled state as a quantum channel and one of these particles works as the controlling particle.The sender and the controller perform a series of measurements on their own particles respectively and send their results to the receiver.According to the meassurement results,the receiver will get the state sent by sender with certain probabi-lity by doing proper unitary transformations and measurements on an auxiliary particle.

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We propose a scheme for controlled teleportation of a unknown two-particle state using a four-particle partly entangled state as a quantum channel and one of these particles works as the controlling particle.The sender and the controller perform a series of measurements on their own particles respectively and send their results to the receiver.According to the meassurement results,the receiver will get the state sent by sender with certain probabi-lity by doing proper unitary transformations and measurements on an auxiliary particle.
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%.
Most of quantum states in reality are non-maximal entangled states due to environmental coupling in preparation and transmission.A controlled method is presented for N-particle partly entangled state teleportation using non-maximally entangled quantum channel.In the proposed approach,a non-maximally entangled(N+2)-particle state is utilized as the quantum channel,one of the particles is selected as the controlling particle.The sender makes Bell states measurement once,Hadamard operations and |0〉 |1〉states measurements for N-1 times,and the controller performs a Hadamard measurement,whereafter the receiver makes appropriate unitary transformations and necessary projection measurements based on the sender's and controller's measurement results,then the controlled teleportation of N-particle unknown quantum state is achieved.The method is a controlled quantum teleportation scheme based on non-maximally entangled state with certain odds and the success probability is 2|a|2.
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.
Four partially entangled two-particle states are used as the quantum channel.Two schemes for probabilistic teleportation of an arbitrary four-particle entangled state are presented.The entangled state can be perfectly teleported probabilistically from the sender to the receiver if the sender performs four Bell-state measurements while the receiver introduces auxiliary particles and performing appropriate unitary transformations.Based on transformation operator,the theoretical explanation of two schemes is given by utilizing the relation of the transformation operators.
A kind of three-particle entangled state is applied as quantum channel of the controlled quantum teleportation of a one-particle unknown state. The one-particle unknown state is transmitted from the sender to the recipient under the control of the supervisor. After the sender makes Bell-state measurement and the supervisor performs von Neumann measurement, the recipient carries out unitary transformation on his own particle depending on classical information from the sender and the supervisor. The teleportation cannot be completed successfully by the recipient if the supervisor does not agree to cooperate. The roles of the recipient and the supervisor may be exchanged in this scheme. The scheme is flexible and feasible because the sequence of manipulation of the sender and the supervisor may be exchanged and only simple unitary transformation is included.