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Comparison and Analysis of the Control Power Between Two Different Perfect Controlled Teleportation Schemes Using Four-particle Cluster State

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Abstract

Control power is used to discuss about the controller’s measurable authority. It’s a new index to describe the controlled teleportation schemes from the point of view of the controller. In this paper, we introduce two perfect controlled teleportation schemes and calculate the control power under different control particles. In scheme 1, the controller just controls one particle, which is particle 2. And in scheme 2, the controller controls the particles 2 and 3. They both use the cluster state \(|\psi \rangle _{1234}=\frac {1}{2}(|0000\rangle +|0011\rangle +|1100\rangle -|1111\rangle )_{1234}\) as communication channel. By calculating the control power between two schemes, the control power of scheme 1 is 1/3, which is the minimal value of control power. On the contrary, the control power of scheme 2 is maximal, 1/2. Scheme 2 which controls two particles successfully promotes the control power comparing with scheme 1. It’s evidently that controlling particle 2 is a necessary condition. And controlling particle 3 can gain the control power but the controller cannot control it solely.

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Acknowledgments

This work is supported by the National This work is supported by the National Natural Science Foundation of China(Grant No.11671284), Specialized Research Fund for the Doctoral Program of Higher Education(Grant.20135134110003), Sichuan Provincial Natural Science Foundation of China (Grant No.2015JY0002), the Research Foundation of the Education Department of Sichuan Province (Grant No.15ZA0032) and Sichuan Provincial Natural Science Foundation of China (Grant No.2017JY0197).

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  1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610066, China

    Yu-ting Jiang & Zhi-wen Mo

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  1. Yu-ting Jiang
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  2. Zhi-wen Mo
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Correspondence to Zhi-wen Mo.

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Jiang, Yt., Mo, Zw. Comparison and Analysis of the Control Power Between Two Different Perfect Controlled Teleportation Schemes Using Four-particle Cluster State. Int J Theor Phys 56, 3084–3091 (2017). https://doi.org/10.1007/s10773-017-3474-8

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  • DOI: https://doi.org/10.1007/s10773-017-3474-8

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