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Distillation of n-GHZ Box

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Abstract

Quantum nonlocality plays an important role in quantum information and quantum communication. Different from local realism, nonlocality means that multiple bodies can affect each other instantaneously regardless of the distance. The more the systems, the more complex the nonlocal nature. As a useful quantum information resource, nonlocality also has the characteristic of degeneration, that is, nonlocality ability will inevitably be reduced by external influences. Based on such characteristics, through some local operators or distillation protocols, make the correlation stronger is of great significance. In this paper, we propose a distillation protocol which can distill nonlocality in n-Gteenberg-Horne-Zeilinger (n-GHZ) box and we show the effective of this protocol. Besides, we will also give a general construct of n-bit box distillation protocol, which means that it is effective even we use different nonlocality measure formula or other n-bit box.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Hainan Normal University, Haikou, 571158, People’s Republic of China

    Tingyu Ge & Tinggui Zhang

  2. School of Physics and Electronic Engineering, Hainan Normal University, Haikou, 571158, People’s Republic of China

    Hong Yang

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  1. Tingyu Ge
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  2. Tinggui Zhang
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  3. Hong Yang
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Correspondence to Tinggui Zhang.

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This work is supported by the Natural Science Foundation of Hainan Province under Grant No. 118QN230 and the National Natural Science Foundation of China under Grant No. 11861031.

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Ge, T., Zhang, T. & Yang, H. Distillation of n-GHZ Box. Int J Theor Phys 60, 1676–1685 (2021). https://doi.org/10.1007/s10773-021-04788-y

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