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Quantum Tasks with Non-maximally Quantum Channels via Positive Operator-Valued Measurement

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Abstract

By using a proper positive operator-valued measure (POVM), we present two new schemes for probabilistic transmission with non-maximally four-particle cluster states. In the first scheme, we demonstrate that two non-maximally four-particle cluster states can be used to realize probabilistically sharing an unknown three-particle GHZ-type state within either distant agent’s place. In the second protocol, we demonstrate that a non-maximally four-particle cluster state can be used to teleport an arbitrary unknown multi-particle state in a probabilistic manner with appropriate unitary operations and POVM. Moreover the total success probability of these two schemes are also worked out.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (No. 61003287) and the Fundamental Research Funds for the Central Universities (No. SWJT U11BR174).

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Authors and Affiliations

  1. School of Mathematics and Information Science, Neijiang Normal University, Neijiang, 641100, China

    Jia-Yin Peng

  2. School of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610066, China

    Jia-Yin Peng & Zhi-Wen Mo

  3. Information Security and National Computing Grid Laboratory, School of Information Science and Technology, Southwest Jiaotong University, Chengdu, 610031, China

    Ming-Xing Luo

Authors
  1. Jia-Yin Peng
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  2. Ming-Xing Luo
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  3. Zhi-Wen Mo
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Correspondence to Ming-Xing Luo.

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Peng, JY., Luo, MX. & Mo, ZW. Quantum Tasks with Non-maximally Quantum Channels via Positive Operator-Valued Measurement. Int J Theor Phys 52, 253–265 (2013). https://doi.org/10.1007/s10773-012-1328-y

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  • DOI: https://doi.org/10.1007/s10773-012-1328-y

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