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Controlled Dense Coding Using the Maximal Slice States

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Abstract

In this paper we investigate the controlled dense coding with the maximal slice states. Three schemes are presented. Our schemes employ the maximal slice states as quantum channel, which consists of the tripartite entangled state from the first party(Alice), the second party(Bob), the third party(Cliff). The supervisor(Cliff) can supervises and controls the channel between Alice and Bob via measurement. Through carrying out local von Neumann measurement, controlled-NOT operation and positive operator-valued measure(POVM), and introducing an auxiliary particle, we can obtain the success probability of dense coding. It is shown that the success probability of information transmitted from Alice to Bob is usually less than one. The average amount of information for each scheme is calculated in detail. These results offer deeper insight into quantum dense coding via quantum channels of partially entangled states.

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Acknowledgments

This work is supported by Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.20135134110003), Scientific Reserch Fund of SiChuan Provincial Education Department (Grant No.11ZB153, 2015JY0002) and Scientific Research Fund of Sichuan University for Nationalities(Grant No.13XYZB011, 12XYZB006).

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Authors and Affiliations

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

    Jun Liu & Zhi-wen Mo

  2. Department of Mathematics, Sichuan Minzu College, Kangding, 626001, China

    Shu-qin Sun

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  1. Jun Liu
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  2. Zhi-wen Mo
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  3. Shu-qin Sun
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Correspondence to Jun Liu.

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Liu, J., Mo, Zw. & Sun, Sq. Controlled Dense Coding Using the Maximal Slice States. Int J Theor Phys 55, 2182–2188 (2016). https://doi.org/10.1007/s10773-015-2857-y

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  • DOI: https://doi.org/10.1007/s10773-015-2857-y

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