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Controlled and Assisted Cloning of an Arbitrary Unknown States via Maximal Slice States

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Abstract

The purpose of this article is to further investigate the assisted cloning of an arbitrary unknown state via maximal slice states under the control of the supervisor. By making use of three-qubit maximal slice states and appropriate measurement basis, we propose efficient controlled schemes for cloning arbitrary unknown multi-qubit states with assistance from a state preparer. The first stage of schemes requires usual teleportation and proper measurement basis chosen by controller, and in the second stage the state preparer disentangles the left over entangled states by introducing auxiliary particles, implementing controlled NOT gates and two special projective measurements, and communicates some classical bits to the sender of the first stage, so that perfect copies are produced. Based on the implementation schemes for copying arbitrary unknown single- and two-qubit states, we have derived the controlled and assisted cloning protocols for arbitrary unknown multi-qubit states.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Kashi University, Kashi, Xinjiang, 844000, China

    Nueraminaimu Maihemuti, Jiayin Peng, Dengxin Zhai & Jiangang Tang

  2. School of Mathematical Science, Sichuan Normal University, Chengdu, 610066, China

    Zhen Yang

Authors
  1. Nueraminaimu Maihemuti
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  2. Jiayin Peng
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  3. Zhen Yang
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  4. Dengxin Zhai
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  5. Jiangang Tang
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Contributions

In fact, all of the authors’ contributions to this paper are important. The specific contributions are as follows. The first author played a major role in the conceptualization and writing of the article. The rest authors worked mainly on the overall framework and language of the article. The contribution of the paper is as follows, in Section 2, Our four authors communicate through discussion we put forward a new scheme for assisted cloning of an arbitrary unknown single-qubit state via a three-qubit maximal slice state as quantum channel under control of the supervisor. In Section 3, by using two three-qubit maximal slice states as quantum channel, we propose a scheme for cloning an arbitrary unknown two-qubit state with the permission of the controller and the help of a state preparer. In Section 3, we extend the above two schemes to the case of controlled and assisted cloning of any unknown n-qubit state via n three-qubit maximal slice states.The Section 3 was completed by Nueraminaimu Maihemuti and Dengxin Zhai. Finally, a brief discussion and conclusion are drawn in Section 4. The Section 4 was jointly completed by Nueraminaimu Maihemuti and Dengxin Zhai, as well as two corresponding authors Jiayin Peng and Jiangang Tang.

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Correspondence to Jiayin Peng.

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Maihemuti, N., Peng, J., Yang, Z. et al. Controlled and Assisted Cloning of an Arbitrary Unknown States via Maximal Slice States. Int J Theor Phys 63, 18 (2024). https://doi.org/10.1007/s10773-023-05536-0

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