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Chinese Journal of Quantum Electronics

Probabilistic teleportation of four particles W state

Zha Xin-wei

Published Jan 1, 2010• 1 citation
OpenAlex

Abstract

A scheme for teleportation of four-particle W state via two pairs of non-maximally two-particle entangled state is given.The sender only need to carry out one orthogonal complete measurement base, then the sender inform the measurement results to the receiver by classical channel,and the receiver introduce auxiliary particle F,and carry out a Von Neumann measurement after giving a proper unitary transformation.The receiver introduce another two auxiliary particle B_3B_4,and carry out the proper unitary transformation on his own particles.As a result,the teleportation of four particle entanglement can be realized with a certain probability.In this scheme,the sender only carry out one orthogonal complete measurement base,and if the quantum channel is in maximum entanglement,this scheme can realize complete transmission.

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Chinese Journal of Quantum Electronics•Jan 1, 2008•0 citations
A scheme for teleportation of four-particle W state via two pairs of non-maximally two-particle entangled state is given.The sender only need to carry out one orthogonal complete measurement base, then the sender inform the measurement results to the receiver by classical channel,and the receiver introduce auxiliary particle F,and carry out a Von Neumann measurement after giving a proper unitary transformation.The receiver introduce another two auxiliary particle B_3B_4,and carry out the proper unitary transformation on his own particles.As a result,the teleportation of four particle entanglement can be realized with a certain probability.In this scheme,the sender only carry out one orthogonal complete measurement base,and if the quantum channel is in maximum entanglement,this scheme can realize complete transmission.
In order to reduce the measurement times and computation of quantum teleportation, a scheme for teleportation of four-particle W state via two EPR states is proposed. The sender Alice only do one orthogonal complete basises measurement on her own particles in the unknown Four-particles and two EPR states, by the means of 16 orthogonal complete measure basises. Then the sender inform the 16 kinds of measurement results to the receiver by classical channel, the receiver introduce two auxiliary particle B3B4, and do some proper transformation(Toffoli gate, C-Not gate, Pauli-X gate, and Pauli-Z gate) on his own particles. As a result, the 16 kinds of collapse modes will be all restored. In other words, the teleportation of four-particle W state is completely realized. Based on quantum mechanics of superposition operator and the transformation operator, the collapses states can be easily obtained, and Bob′s unitary transformation can also be easily given. Because of using orthogonal complete measurement basises method, the sender only need to do a little measurement. This scheme only need one orthogonal complete basises measurement and a simply unitary transmission, which can be realized easily.
In this paper, two schemes for teleporting an unknown four-particle entangled W state is proposed. In the first scheme, two partial entangled four-particle states are used as quantum channels, while in the second scheme, four non-maximally entangled particle pairs are considered as quantum channels. It is shown that the teleportation can be successfully realized with certain probability, for both schemes, if a receiver adopts some appropriate unitary transformations. It is also shown that the successful probabilities of these two schemes are different.
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.