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Faithful Transfer Arbitrary Pure States with Mixed Resources

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Abstract

In this paper, we show that some special mixed quantum resource experience the same property of pure entanglement such as Bell state for quantum teleportation. It is shown that one mixed state and three bits of classical communication cost can be used to teleport one unknown qubit compared with two bits via pure resources. The schemes are easily implement with model physical techniques. Moreover, these resources are also optimal and typical for faithfully remotely prepare an arbitrary qubit, two-qubit and three-qubit states with mixed quantum resources. Our schemes are completed as same as those with pure quantum entanglement resources except only 1 bit additional classical communication cost required. The success probability is independent of the form of the mixed resources.

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Authors and Affiliations

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

    Ming-Xing Luo

  2. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China

    Ming-Xing Luo & Xiu-Bo Chen

  3. College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang, 314001, China

    Lin Li

  4. College of Mathematics and Information Sciences, Henan University, Kaifeng, 475004, China

    Song-Ya Ma

  5. National Engineering Laboratory for Disaster Backup and Recovery, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Xiu-Bo Chen & Yi-Xian Yang

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  1. Ming-Xing Luo
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  2. Lin Li
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  3. Song-Ya Ma
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  4. Xiu-Bo Chen
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  5. Yi-Xian Yang
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Corresponding author

Correspondence to Ming-Xing Luo.

Additional information

This work is supported by the National Natural Science Foundation of China (Nos. 11226336, 11201184, 61003287, 61170272, 61272514, 61201253), the Fundamental Research Funds for the Central Universities (Nos. SWJTU11BR174, BUPT2012RC0221), the Specialized Research Fund for the Doctoral Program of Higher Education (20100005120002), the Fok Ying Tong Education Foundation (No. 131067), the Natural Science Foundation of Henan Provincial Education Department (12A120003), the Natural Science Foundation of Henan University (2011YBZR032), and the Opening Project of Shanghai Key Laboratory of Integrate Administration Technologies for Information Security.

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Luo, MX., Li, L., Ma, SY. et al. Faithful Transfer Arbitrary Pure States with Mixed Resources. Int J Theor Phys 52, 3032–3044 (2013). https://doi.org/10.1007/s10773-013-1595-2

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  • DOI: https://doi.org/10.1007/s10773-013-1595-2

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