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Geometric Discord of GHZ State under Decoherence

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Abstract

Geometric discord is an essential method to measure quantum correlations. It is significative to investigate how geometric discord of GHZ state is affected under decoherence channels (phase flip, bit flip and bit-phase flip channels). It indicates that geometric discord of GHZ state decreases with time and eventually approaches to a stable value under decoherence channels. Especially under bit flip and bit-phase flip channels, their change trends of geometric discord are exactly the same. By comparing the variation trend of geometric discord of GHZ state under three decoherence channels, it can be concluded that quantum correlations are most affected under phase flip channel, that is, the decoherence ability of GHZ state to resist phase flip noise environment is weaker.

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Acknowledgements

This work is supported by the Natural Science Foundation of Sichuan Province (No. 2022NSFSC0534), Major Science and Technology Application Demonstration Project in Chengdu (No.2021-YF09-0116-GX), Key project of Sichuan Normal University (No. XKZX-02)

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Authors and Affiliations

  1. Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu, 610066, China

    Si-Ting Xiong, Ming-Qiang Bai, Dan Xue & Yu-Die Yang

  2. Research Center of Sichuan Normal University, National-Local Joint Engineering Laboratory of System Credibility Automatic Verification, Chengdu, 610066, China

    Si-Ting Xiong, Ming-Qiang Bai, Dan Xue & Yu-Die Yang

  3. School of Mathematical Sciences, Sichuan Normal University, Chengdu, 610066, China

    Si-Ting Xiong, Ming-Qiang Bai, Dan Xue & Yu-Die Yang

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  1. Si-Ting Xiong
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  2. Ming-Qiang Bai
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Correspondence to Ming-Qiang Bai.

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Dan Xue and Yu-Die Yang contributed equally to this work.

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Xiong, ST., Bai, MQ., Xue, D. et al. Geometric Discord of GHZ State under Decoherence. Int J Theor Phys 62, 122 (2023). https://doi.org/10.1007/s10773-023-05373-1

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