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Fault tolerant deterministic quantum communications using GHZ states over collective-noise channels

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Abstract

This study proposes two new coding functions for a GHZ state and a GHZ-like state, respectively. Based on these coding functions, two fault tolerant deterministic quantum communication (DQC) protocols are proposed. Each of the new DQC’s is robust under one kind of collective noises: collective-dephasing noise and collective-rotation noise, respectively. The sender can use the proposed coding functions to encode his/her message, and the receiver can perform the Bell measurement to obtain the sender’s message. In comparison to the existing fault tolerant DQC protocols over collective-noise channels, the proposed protocols provide the best qubit efficiency. Moreover, the proposed protocols are also free from the ordinary eavesdropping and the information leakage.

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Acknowledgments

We would like to thank the anonymous reviewers for their very valuable comments, which greatly enhanced the clarity of this paper. We would also like to thank the National Science Council of Republic of China, for the financial support of this research under Contract No. NSC 100-2221-E-006-152-MY3.

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Authors and Affiliations

  1. Department of Computer Science and Information Engineering, National Cheng Kung University, No. 1, University Rd., Tainan City, 70101, Taiwan, ROC

    Chun-Wei Yang & Tzonelih Hwang

  2. Smart Network System Institute, Institute for Information Industry, 7F., No. 133, Sec. 4, Minsheng E. Rd., Taipei City, 105, Taiwan, ROC

    Chia-Wei Tsai

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  1. Chun-Wei Yang
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Correspondence to Tzonelih Hwang.

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Yang, CW., Tsai, CW. & Hwang, T. Fault tolerant deterministic quantum communications using GHZ states over collective-noise channels. Quantum Inf Process 12, 3043–3055 (2013). https://doi.org/10.1007/s11128-013-0582-0

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