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ACTA PHOTONICA SINICA

Teleportation of Four Particles W State Through Two EPR States

马刚龙 Ma Gang-long, 查新未 Zha Xin-wei

Published Jan 1, 2010• 0 citations

Abstract

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.

DOI: 10.3788/gzxb20103909.1627

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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.

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.

Teleporting a quantum state,the sender Alice disassembles the entire informations into two parts: one purely classical information and the another purely non-classical information,then sends them to the receiver Bob via two different channels.Firstly,sending the purely non-classical part,the EPR pair which consists of two fermions with the spin of 1 2 here plays the key role in the teleportation,one EPR particle is given to Alice,while the other is given to Bob.Alice performs a complete measurement of the von Neumann type on the joint system consisting of the original particle and her EPR particle,this measurement performed in the four eigenstates of the Bell operator leads to collapse the wave packet of the joint wavefunction into the four correlated Bell bases.Through applying the appropriate unitary transformation to the state of his EPR particle Bob can reconstruct a replica of the original state destroyed in Alice's hand.Moreover,this Bell measurement produces two bits of classical information which is sent to Bob,a quantum teleportation is therefore completed.The paper studies the interior relation between EPR pairs of particles and the quantum teleportation.

In this letter, a scheme of teleporting a N-particle entangled state is proposed. n EPR states are used as quantum channels, the sender wants to teleport a quantum state to the receiver, She makes n Bell-state measurement on particles belong to her, and sends the results of measurement through a classical information channel to the receiver, According to the measurement results of the sender, the receiver performs a respective unitary operator on particles belong to him. The teleportation is successfully realized, and the probability of successful telepotation is one. It is different from the scheme in ref. [7], the quantum logic circuit may be presented easily.

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.

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.