中国物理B ›› 2019, Vol. 28 ›› Issue (4): 40302-040302.doi: 10.1088/1674-1056/28/4/040302

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Novel quantum secret image sharing scheme

Gao-Feng Luo(罗高峰), Ri-Gui Zhou(周日贵), Wen-Wen Hu(胡文文)   

  1. 1 College of Information Engineering, Shanghai Maritime University, Shanghai 201306, China;
    2 College of Information Engineering, Shaoyang University, Shaoyang 422000, China;
    3 Research Center of Intelligent Information Processing and Quantum Intelligent Computing, Shanghai 201306, China
  • 收稿日期:2018-12-03 修回日期:2019-01-11 出版日期:2019-04-05 发布日期:2019-04-05
  • 通讯作者: Ri-Gui Zhou E-mail:rgzhou@shmtu.edu.cn
  • 基金资助:

    Project supported by the National Key Research and Development Plan (Grant Nos. 2018YFC1200200 and 2018YFC1200205), the National Natural Science Foundation of China (Grant No. 61463016), and the “Science and Technology Innovation Action Plan” of Shanghai in 2017 (Grant No. 17510740300).

Novel quantum secret image sharing scheme

Gao-Feng Luo(罗高峰)1,2,3, Ri-Gui Zhou(周日贵)1,3, Wen-Wen Hu(胡文文)1,3   

  1. 1 College of Information Engineering, Shanghai Maritime University, Shanghai 201306, China;
    2 College of Information Engineering, Shaoyang University, Shaoyang 422000, China;
    3 Research Center of Intelligent Information Processing and Quantum Intelligent Computing, Shanghai 201306, China
  • Received:2018-12-03 Revised:2019-01-11 Online:2019-04-05 Published:2019-04-05
  • Contact: Ri-Gui Zhou E-mail:rgzhou@shmtu.edu.cn
  • Supported by:

    Project supported by the National Key Research and Development Plan (Grant Nos. 2018YFC1200200 and 2018YFC1200205), the National Natural Science Foundation of China (Grant No. 61463016), and the “Science and Technology Innovation Action Plan” of Shanghai in 2017 (Grant No. 17510740300).

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摘要：

In this paper, we propose a novel quantum secret image-sharing scheme which constructs m quantum secret images into m+1 quantum share images. A chaotic image generated by the logistic map is utilized to assist in the construction of quantum share images first. The chaotic image and secret images are expressed as quantum image representation by using the novel enhanced quantum representation. To enhance the confidentiality, quantum secret images are scrambled into disordered images through the Arnold transform. Then the quantum share images are constructed by performing a series of quantum swap operations and quantum controlled-NOT operations. Because all quantum operations are invertible, the original quantum secret images can be reconstructed by performing a series of inverse operations. Theoretical analysis and numerical simulation proved both the security and low computational complexity of the scheme, which has outperformed its classical counterparts. It also provides quantum circuits for sharing and recovery processes.

关键词: quantum image processing, secret image sharing, quantum computation, quantum circuit

Abstract:

In this paper, we propose a novel quantum secret image-sharing scheme which constructs m quantum secret images into m+1 quantum share images. A chaotic image generated by the logistic map is utilized to assist in the construction of quantum share images first. The chaotic image and secret images are expressed as quantum image representation by using the novel enhanced quantum representation. To enhance the confidentiality, quantum secret images are scrambled into disordered images through the Arnold transform. Then the quantum share images are constructed by performing a series of quantum swap operations and quantum controlled-NOT operations. Because all quantum operations are invertible, the original quantum secret images can be reconstructed by performing a series of inverse operations. Theoretical analysis and numerical simulation proved both the security and low computational complexity of the scheme, which has outperformed its classical counterparts. It also provides quantum circuits for sharing and recovery processes.

Key words: quantum image processing, secret image sharing, quantum computation, quantum circuit

中图分类号:  (Quantum information)

  • 03.67.-a
89.70.-a (Information and communication theory) 02.70.-c (Computational techniques; simulations) 03.67.Lx (Quantum computation architectures and implementations)