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arXiv:quant-ph/0011124

Teleportation of entangled states and dense coding using a multiparticle quantum channel

В. Н. Горбачев, Andrew I. Trubilko, A. I. Zhiliba, E. S. Yakovleva

Published Nov 30, 2000• 11 citations
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Abstract

A set of protocols for teleportation and dense coding tasks with the use of a N particle quantum channel, presented by entangled states of the GHZ class, is introduced, when N>2. Using a found representation for the multiparticle entangled states of the GHZ class, it has shown, that for dense coding schemes enhancement of the classical capacity of the channel due from entanglement is N/N-1. If N>2 there is no one - to -one correspondence between teleportation and dense coding schemes in comparison with the EPR channel is exploited. A set of schemes, for which two additional operations as entanglement and disentanglement are permitted, is considered.

DOI
10.48550/arxiv.quant-ph/0011124

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A set of protocols for teleportation and dense coding tasks with the use of a N particle quantum channel, presented by entangled states of the GHZ class, is introduced, when N>2. Using a found representation for the multiparticle entangled states of the GHZ class, it has shown, that for dense coding schemes enhancement of the classical capacity of the channel due from entanglement is N/N-1. If N>2 there is no one - to -one correspondence between teleportation and dense coding schemes in comparison with the EPR channel is exploited. A set of schemes, for which two additional operations as entanglement and disentanglement are permitted, is considered.
A set of protocols for teleportation and dense coding schemes based on a multiparticle quantum channel, represented by the NNN-particle entangled states of the GHZ class, is introduced. Using a found representation for the GHZ states, it was shown that for dense coding schemes enhancement of the classical capacity of the channel due from entanglement is N/N−1N/N-1N/N−1. Within the context of our schemes it becomes clear that there is no one-to one correspondence between teleportation and dense coding schemes in comparison when the EPR channel is exploited. A set of schemes, for which two additional operations as entanglement and disentanglement are permitted, is considered.
A scheme is proposed to realize the controlled dense coding by using a four-particle entangled state as the quantum channel. In this scheme, A and B are the sides of sender and receiver, C and D are used as the controlling particles. A, C and D should perform appropriate quantum operations on the particles that they own respectively, then they must transfer the particles to B. After a series of quantum operations, quantum transformations and quantum measurements, B would get the quantum state which can represent classical field information. By using this scheme, A and B realize the information teleportation of classical field 0～15 in the quantum channel.