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Controlled Dense Coding Using Generalized GHZ-type State in a Noisy Network

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Abstract

A communication protocol that uses generalized GHZ quantum states to achieve dense coding in a noisy network. In this protocol, we first discuss two noisy communication environment models (bit flipped channel and phase flipped channel), then, we introduce the generalized GHZ-type quantum state, they are three particles in an entangled state, and one of the particles is in the sender’s (Alice) hand, and the other two particles are in the receiver’s (Bob) hand. After the sender (Alice) performs a unitary operation on the particle in her hand, it is sent out through a noisy channel, and the receiver (Bob) performs error correction (Calderbank-Shor-Steane (CSS) codes), and then performs a decoding operation to achieve dense coding.

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Authors and Affiliations

  1. School of Information and Control Engineering, Qingdao Technological University, Qingdao, 266525, China

    Zhi-Heng Ke, Yu-Lin Ma, Li Ding & Jia-Bao Song

  2. School of Sciences, Qingdao Technological University, Qingdao, 266525, China

    Hongyang Ma

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  1. Zhi-Heng Ke
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  2. Yu-Lin Ma
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  3. Li Ding
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  5. Hongyang Ma
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Correspondence to Hongyang Ma.

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Ke, ZH., Ma, YL., Ding, L. et al. Controlled Dense Coding Using Generalized GHZ-type State in a Noisy Network. Int J Theor Phys 61, 171 (2022). https://doi.org/10.1007/s10773-022-05069-y

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