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Probabilistic Quantum Information Splitting Based on the Non-maximally Entangled Four-Qubit State

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Abstract

In this paper, we propose a scheme for quantum information splitting based on the non-maximally entangled four-qubit state in order to realize the splitting of the specific two-qubit state |ψ〉 A B =x|00〉+y|11〉. The information splitter will safely share an state to the receiver with help of the controller. Through introducing an auxiliary system and applying several appropriate unitary transformations the information receiver can reconstruct the original state sent by the information splitter. Due to the non-maximally entangled four-qubit state, the total probability that the receiver obtains the original information is P. Furthermore, we discuss the relationship between the successful splitting probability and the concurrence of the entangled state and get a specific expression. In addition, the scheme is tested against external and internal attacks, and we define a function to characterise the security with the concurrence of the entanglement.

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Acknowledgments

This work is supported by National Natural Science Foundation of China (Grant No. 11271237 and No. 61228305) and Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20130202110001).

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Authors and Affiliations

  1. School of Mathematics and Information Science, Shannxi Normal University, **’an, 710119, China

    Chen-ming Bai

  2. School of Computer Science, Shannxi Normal University, **’an, 710119, China

    Yong-ming Li

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  1. Chen-ming Bai
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Correspondence to Yong-ming Li.

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Bai, Cm., Li, Ym. Probabilistic Quantum Information Splitting Based on the Non-maximally Entangled Four-Qubit State. Int J Theor Phys 55, 1658–1667 (2016). https://doi.org/10.1007/s10773-015-2803-z

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  • DOI: https://doi.org/10.1007/s10773-015-2803-z

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