An Image Encryption Scheme Based on Logistic Quantum Chaos

This paper proposes an image encryption scheme based on logistic quantum chaos. Firstly, we use compressive sensing algorithms to compress plaintext images and quantum logistic and Hadamard matrix to generate the measurement matrix. Secondly, the improved flexible representation of the quantum image...

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Main Authors: Yu Wang, Liquan Chen, Kunliang Yu, Yuan Gao, Yang Ma
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/2/251
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author Yu Wang
Liquan Chen
Kunliang Yu
Yuan Gao
Yang Ma
author_facet Yu Wang
Liquan Chen
Kunliang Yu
Yuan Gao
Yang Ma
author_sort Yu Wang
collection DOAJ
description This paper proposes an image encryption scheme based on logistic quantum chaos. Firstly, we use compressive sensing algorithms to compress plaintext images and quantum logistic and Hadamard matrix to generate the measurement matrix. Secondly, the improved flexible representation of the quantum images (FRQI) encoding method is utilized for encoding the compressed image. The pixel value scrambling operation of the encoded image is realized by rotating the qubit around the axis. Finally, the quantum pixel is encoded into the pixel value in the classical computer, and the bit-level diffusion and scrambling are performed on it. Numerical analysis and simulation results show that our proposed scheme has the large keyspace and strong key sensitivity. The proposed scheme can also resist standard attack methods such as differential attacks and statistical analysis.
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spelling doaj.art-ed58419399894657aa55d0bed06779ca2023-11-23T19:48:23ZengMDPI AGEntropy1099-43002022-02-0124225110.3390/e24020251An Image Encryption Scheme Based on Logistic Quantum ChaosYu Wang0Liquan Chen1Kunliang Yu2Yuan Gao3Yang Ma4School of Cyber Science and Engineering, Southeast University, Nanjing 210096, ChinaSchool of Cyber Science and Engineering, Southeast University, Nanjing 210096, ChinaSchool of Cyber Science and Engineering, Southeast University, Nanjing 210096, ChinaSchool of Cyber Science and Engineering, Southeast University, Nanjing 210096, ChinaSchool of Cyber Science and Engineering, Southeast University, Nanjing 210096, ChinaThis paper proposes an image encryption scheme based on logistic quantum chaos. Firstly, we use compressive sensing algorithms to compress plaintext images and quantum logistic and Hadamard matrix to generate the measurement matrix. Secondly, the improved flexible representation of the quantum images (FRQI) encoding method is utilized for encoding the compressed image. The pixel value scrambling operation of the encoded image is realized by rotating the qubit around the axis. Finally, the quantum pixel is encoded into the pixel value in the classical computer, and the bit-level diffusion and scrambling are performed on it. Numerical analysis and simulation results show that our proposed scheme has the large keyspace and strong key sensitivity. The proposed scheme can also resist standard attack methods such as differential attacks and statistical analysis.https://www.mdpi.com/1099-4300/24/2/251quantum computationquantum logisticquantum image processingquantum image representationimage encryption
spellingShingle Yu Wang
Liquan Chen
Kunliang Yu
Yuan Gao
Yang Ma
An Image Encryption Scheme Based on Logistic Quantum Chaos
Entropy
quantum computation
quantum logistic
quantum image processing
quantum image representation
image encryption
title An Image Encryption Scheme Based on Logistic Quantum Chaos
title_full An Image Encryption Scheme Based on Logistic Quantum Chaos
title_fullStr An Image Encryption Scheme Based on Logistic Quantum Chaos
title_full_unstemmed An Image Encryption Scheme Based on Logistic Quantum Chaos
title_short An Image Encryption Scheme Based on Logistic Quantum Chaos
title_sort image encryption scheme based on logistic quantum chaos
topic quantum computation
quantum logistic
quantum image processing
quantum image representation
image encryption
url https://www.mdpi.com/1099-4300/24/2/251
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