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Tsinghua Science & Technology

Deterministic teleportation channel using bell state measurements only

Min Jiang, Xu Huang, Yiming Zhou

Published Apr 1, 2010• 0 citations
Publisher

Abstract

Teleportation schemes based on probabilistic channels usually rely heavily on the implementation of high-dimensional unitary operations. Since high-dimensional unitary operations are very difficult to directly implement in physics experiments, methods are used to avoid high-dimensional unitary operations during the teleportation process. This paper describes how to construct a deterministic teleportation channel and a control channel using Bell state measurements only instead of high-dimensional unitary operations. Here, the general four-particle and five-particle class states are used as the potential quantum channel and the control channel for deterministic teleportation even without access to the relevant parameters. The results show that this scheme makes physical realization of teleportation more reasonable.

DOI
10.1016/s1007-0214(10)70048-1

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Teleportation schemes based on probabilistic channels usually rely heavily on the implementation of high-dimensional unitary operations. Since high-dimensional unitary operations are very difficult to directly implement in physics experiments, methods are used to avoid high-dimensional unitary operations during the teleportation process. This paper describes how to construct a deterministic teleportation channel and a control channel using Bell state measurements only instead of high-dimensional unitary operations. Here, the general four-particle and five-particle class states are used as the potential quantum channel and the control channel for deterministic teleportation even without access to the relevant parameters. The results show that this scheme makes physical realization of teleportation more reasonable.
In physics experiments, it is very difficult to realize directly using high-dimensional unitary operations. In order to decrease or avoid the shortage during the teleportation process based on probabilistic channel, we propose a new scheme to reconstruct a deterministic teleportation eight-qubit channel using Bell-state measurements based on the probabilistic channel, which replaces high-dimensional unitary operations. In our scheme, a new quantum channel without alterable parameters replaces the general quantum channel with parameters as probabilistic teleportation. It shows that if we choose an eight-qubit probabilistic channel to construct deterministic channel, the relevant parameters of the eight-qubit probabilistic channel can be avoided. Thus, in quantum teleportation process, quantum channel can be chosen as a deterministic channel. This shows that our scheme makes real experiments more suitable.
A scheme is presented to probabilistically controlled teleport an arbitrary triplet W state using three pair maximally entangled triplet W state as the quantum channel. During the teleportation procedure, the controller performs Von Neumann measurements on his particles, the sender makes orthogonal basis measurements, instead of using Bell-state measurements, and the receiver can faithfully reconstruct the original state by performing relevant unitary transformations. The total probability of successful teleportation can be improved to 20/27. unitary transformation
A scheme of teleportation of an arbitrary three-particle state is presented when a non-maximal arbitrary five-particle state and an EPR pair are used as quantum channels. We show that teleportation can be successfully (realized) with a certain probability by performing three Bell-state measurements on the sender's side and by (introducing) an auxiliary particle and performing a unitary transformation the Hadamard operation and measurement result, conditioning on the other possible receiver's side.
We establish a scheme for probabilistically teleporting an unknown 3D(dimensional) two-particle state using non-maximally entangled states as a quantum channel.In this scheme,the probabilistic teleportation is realized by using the new orthogonal complete bases measurement instead of the traditional Bell measurement,and we also use 3D entangled state as the quantum channel.These are different from the previous schemes.This scheme is more convenient for the receiver,because users could realize communication with less operators.
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.