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Schemes for Remotely Preparing a Six-Particle Entangled Cluster-Type State

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Abstract

By constructing some useful measurement bases, we put forward two novel schemes via different entanglement resources to realize remote preparation of a six-particle entangled cluster-type state with high probabilities. It is shown that through a three-particle projective measurement and two-step two-particle projective measurement under the novel sets of mutually orthogonal basis vectors, the original state can be prepared with the probability 50 % and 100 %, respectively. And for the first scheme, the special cases of the prepared state that the success probability reaches up to 100 % are discussed by the permutation group. Compared with the previous proposal, the success probabilities of the proposed schemes are greatly improved. Furthermore, the present schemes are extended to the non-maximally entangled quantum channel, and the classical communication costs are calculated.

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Authors and Affiliations

  1. School of Mathematics and Information Sciences, Henan University, Kaifeng, 475004, China

    Song-Ya Ma & Ping Tang

  2. Information Security Center, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Song-Ya Ma, Xiu-Bo Chen & Yi-Xian Yang

  3. State Key Laboratory of Information Security, Graduate University of Chinese Academy of Sciences, Beijing, 100049, China

    Song-Ya Ma & Xiu-Bo Chen

Authors
  1. Song-Ya Ma
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  2. Ping Tang
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  3. Xiu-Bo Chen
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  4. Yi-Xian Yang
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Corresponding author

Correspondence to Song-Ya Ma.

Additional information

This work is supported by the National Natural Science Foundation of China (Nos. 61201253, 61272514, 61003287, 61170272, 61152002), the Natural Science Foundation of Henan Provincial Education Department (No. 12A120003), the Natural Science Foundation of Henan University (No. 2011YBZR032), the Specialized Research Fund for the Doctoral Program of Higher Education (20100005120002), the Fok Ying Tong Education Foundation (No. 131067), the Fundamental Research Funds for the Central Universities (No. BUPT2012RC0221), the Open Foundation of State Key Laboratory of Information Security (No. 01-04-2).

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Ma, SY., Tang, P., Chen, XB. et al. Schemes for Remotely Preparing a Six-Particle Entangled Cluster-Type State. Int J Theor Phys 52, 968–979 (2013). https://doi.org/10.1007/s10773-012-1409-y

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  • DOI: https://doi.org/10.1007/s10773-012-1409-y

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