Skip to main content
SpringerLink
Log in

Quantum Image Encryption Algorithm Based on Quantum Key Image

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Quantum image encryption is a hot research topic in recent years. In this paper, a novel quantum image encryption algorithm based on quantum key image is presented, which has low complexity than other algorithms. The quantum key image is a special quantum image which is used to store the encryption keys. The encryption keys are generated by a cryptographic algorithm, and are prepared into the gray value of the quantum key image. Based on this quantum key image, the plain image does the XOR operations with it bit by bit. The circuit of the encryption algorthm is given, and the numerical simulations and theoretical analyses are done. The proposed encryption quantum image algorithm is efficiency, and it has large key space and lower computational complexity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Yan, F., Iliyasu, A.M., Venegas-Andraca, S.E.: A survey of quantum image representations. Quantum Inf. Process 15(1), 1–35 (2016)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. Venegas-Andraca, S.E., Bose, S.: Storing processing, and retrieving an image using quantum mechanics. Proc. SPIE - Int. Soc. Opt. Eng. 5105(8), 1085–1090 (2003)

    Google Scholar 

  3. Yuan, S., Mao, X., Xue, Y., et al.: SQR: A simple quantum representation of infrared images. Quantum Inf. Process 13(6), 1353–1379 (2014)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  4. Venegas-Andraca, S.E., Ball, J.L.: Processing images in entangled quantum systems. Quantum Inf. Process 9(1), 1–11 (2010)

    Article  MathSciNet  Google Scholar 

  5. Le, P.Q., Dong, F., Hirota, K.: A flexible representation of quantum images for polynomial preparation, image compression, and processing operations. Quantum Inf. Process 10(1), 63–84 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  6. Zhang, Y., Lu, K., Gao, Y.H., Wang, M.: NEQR: A novel enhanced quantum representation of digital images. Quantum Inf. Process. 12(12), 2833–2860 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  7. Jiang, N., Wang, J., Mu, Y.: Quantum image scaling up based on nearest neighbor interpolation with integer scaling ratio. Quantum Inf. Process 14(11), 4001–4026 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  8. Jiang, N., Wu, W.Y., Wang, L.: The quantum realization of Arnold and Fibonacci image scrambling. Quantum Inf. Process 13(5), 1223–1236 (2014)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. Jiang, N., Wang, L.: Analysis and improvement of the quantum Arnold image scrambling. Quantum Inf. Process 13(7), 1545–1551 (2014)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. Le, P.Q., Iliyasu, A.M., Dong, F., et al.: Fast geometric transformations on quantum images. IAENG Int. J. Appl. Math. 40(3), 2 (2010)

    MathSciNet  MATH  Google Scholar 

  11. Le, P.Q., Iliyasu, A.M., Dong, F., Hirota, K.: Strategies for designing geometric transformations on quantum images. Theor. Comput. Sci. 412, 1406–1418 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  12. Jiang, N., Wang, L., Wu, W.Y.: Quantum Hilbert image scrambling. Int. J. Theor. Phys. 53(7), 2463–2484 (2014)

    Article  MATH  Google Scholar 

  13. Jiang, N., Lu, X.W., Hu, H., Dang, Y.J., Cai, Y.Q.: A novel quantum image compression method based on JPEG. Int. J. Theor. Phys. 57(3), 611–636 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  14. Song, X.H., Niu, X.M.: Comment on: Novel image encryption/decryption based on quantum Fourier transform and double phase encoding. Quantum Inf. Process 13(6), 1301–1304 (2014)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  15. Tan, R.C., Lei, T., Zhao, Q.M., et al.: Quantum color image encryption algorithm based on a hyper-chaotic system and quantum fourier transform. Int. J. Theor. Phys. 55, 1–17 (2016)

    Article  MATH  Google Scholar 

  16. Ashutosh, S.D.: Robust technique for image encryption and decryption using discrete fractional fourier transform with random phase masking. Procedia Technol. 10(1), 707–714 (2013)

    Article  Google Scholar 

  17. Li, J., Parchatka, U., Fischer, H.: Applications of wavelet transform to quantum cascade laser spectrometer for atmospheric trace gas measurements. Appl. Phys. B 108(4), 951–963 (2012)

    Article  ADS  Google Scholar 

  18. Hua, T., Chen, J., Pei, D., et al.: Quantum image encryption algorithm based on image correlation decomposition. Int. J. Theor. Phys. 54(2), 526–537 (2015)

    Article  MATH  Google Scholar 

  19. Zhou, N.R., Hua, T.X., Gong, L.H., et al.: Quantum image encryption based on generalized Arnold transform and double random-phase encoding. Quantum Inf. Process 14(4), 1193–1213 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  20. Zhou, R.G., Wu, Q., Zhang, M.Q., Shen, C.Y.: Quantum image encryption and decryption algorithms based on quantum image geometric transformations. Int. J. Theor. Phys. 52(6), 1802–1817 (2013)

    Article  MathSciNet  Google Scholar 

  21. Wang, S., Song, X.H., Niu, X.M.: A novel encryption algorithm for quantum images based on quantum wavelet transform and diffusion. Intelligent Data analysis and its Applications, Volume II 298, 243–250 (2014)

    Google Scholar 

  22. Yan, F., Iliyasu, A.M., Venegas-Andraca, S.E., Yang, H.M.: Video encryption and decryption on quantum computers. Int. J. Theor. Phys. 54(8), 2893–2904 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  23. Wang, H., Wang, J., Geng, Y.C., et al.: Quantum image encryption based on iterative framework of frequency-spatial domain transforms. Int. J. Theor. Phys. 56 (10), 3029–3049 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  24. Gong, L.H., He, X.T., Cheng, S., et al.: Quantum image incryption algorithm based on quantum image XOR operations. Int. J. Theor. Phys. 55(7), 3234–3250 (2016)

    Article  MATH  Google Scholar 

  25. Yan, F, Iliyasu, A.M., Le, P.Q., et al.: Quantum image processing: A review of advances in its security technologies. Int. J. Quantum Inf. 15(3), 1730001 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  26. Heys, H.M.: Analysis of the statistical cipher feedback mode of block ciphers. IEEE Trans. Comput. 52(1), 77–92 (2003)

    Article  Google Scholar 

  27. Ahmad, J., Ahmed, F.: Security evaluation of image encryption schemes. Int. J. Video Efficiency Anal. Image Process. Netw. Sec. 12(4), 18–31 (2012)

    MathSciNet  Google Scholar 

  28. Elashry, I., Allah, O., Abbas, A., El-Rabaie, S., El-Samie, F.: Homomorphic image encryption. J. Electron. Imaging 18, 033002 (2009)

    Article  ADS  Google Scholar 

  29. Abd EI-Latif, A.A., Niu, X.M., Amin, M.: A new image cipher in time and frequency domains. Opt. Commun. 285, 4241–4251 (2012)

    Article  ADS  Google Scholar 

  30. Shende, V.V., Markov, I.L.: On the CNOT-cost of TOFFOLI gates. Quantum Inf. Comput. 9(5), 461–486 (2008)

    MathSciNet  MATH  Google Scholar 

  31. Liang, H.R., Tao, X.Y., Zhou, N.R.: Quantum image encryption based on generalized affine transform and logistic map. Quantum Inf. Process 15(7), 2701–2724 (2016)

    Article  ADS  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

This work is supported by the Foundation of Science and Technology on Information Assurance Laboratory (No. KJ-15-004). Both authors thank the reviewer for his pertinent comments.

Author information

Authors and Affiliations

  1. Beijing Key Laboratory of Security and Privacy in Intelligent Transportation, Beijing Jiaotong University, Beijing, 100044, China

    Jian Wang, Ya-Cong Geng & Ji-Qiang Liu

  2. Science and Technology on Information Assurance Laboratory, Beijing, China

    Jian Wang, Ya-Cong Geng & Lei Han

Authors
  1. Jian Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ya-Cong Geng
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Lei Han
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ji-Qiang Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jian Wang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, J., Geng, YC., Han, L. et al. Quantum Image Encryption Algorithm Based on Quantum Key Image. Int J Theor Phys 58, 308–322 (2019). https://doi.org/10.1007/s10773-018-3932-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-018-3932-y

Keywords

Search

Navigation