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Probabilistic Dense Coding for Multi-communications with Non-maximally Entangled State

Ren Shijie, Xin Su

Published Jan 1, 2009• 0 citations
Publisher

Abstract

Probabilistic dense coding in the case of three energy-level non-maximally quantum entangled states between three parties has been investigated in this paper. By introducing an auxiliary particle and performing a collective unitary operation, dense coding of non-maximally entangled state is succeeded with certain probability. The coding scheme for multi-communications between N+1-parties is generalized by partly entangled state.

DOI
10.1109/wcse.2009.687

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Probabilistic dense coding in the case of three energy-level non-maximally quantum entangled states between three parties has been investigated in this paper. By introducing an auxiliary particle and performing a collective unitary operation, dense coding of non-maximally entangled state is succeeded with certain probability. The coding scheme for multi-communications between N+1-parties is generalized by partly entangled state.
Quantum dense coding could be used to transmit two classical bits with one qubit when a maximally entangled state is shared. In realistic channels, entanglement degradation reduces the channel capacity, while bit-flip noise increases decoding errors. To address these issues, we propose a novel probabilistic controlled dense coding protocol that employs the three-qubit repetition code for error correction and an auxiliary qubit for probabilistic decoding. Moreover, this proposed scheme includes a third party to supervise the communication based on a three-qubit entanglement state. The implementation steps of our protocol are presented in detail, and numerical simulations show that it achieves higher average information than dense coding without error correction. The scheme provides a robust solution for quantum communication under noisy conditions and non-maximally entangled state.