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An Image Encryption Algorithm Based on Discrete-Time Alternating Quantum Walk and Advanced Encryption Standard.

Guangzhe Liu1, Wei Li2, Xingkui Fan1

  • 1School of Science, Qingdao University of Technology, Qingdao 266520, China.

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|May 28, 2022
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Summary
This summary is machine-generated.

This study introduces a new method for securing digital images by combining quantum computing principles with a standard encryption framework. By using quantum walk patterns to generate complex keys and modify internal encryption steps, the researchers created a system that is highly resistant to unauthorized data access. The approach demonstrates superior protection against common cyber threats compared to traditional versions of the same encryption standard.

Keywords:
advanced encryption standardchaotic scramblediscrete-time alternating quantum walkimage encryptionkeystream generatorcryptographyimage securityquantum computingdata protection

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Area of Science:

  • Computational cryptography and discrete-time alternating quantum walk research
  • Information security within applied mathematics

Background:

Digital image security remains a significant challenge due to the increasing prevalence of unauthorized data interception. Traditional encryption methods often struggle to maintain high performance while ensuring robust protection against modern computational threats. Prior research has shown that standard cryptographic frameworks can be vulnerable to specific statistical attacks when applied to image data. That uncertainty drove interest in integrating non-classical computational models to enhance existing security protocols. Researchers have explored various ways to incorporate quantum-inspired mechanisms into established algorithms to improve their overall resilience. No prior work had resolved the limitations of standard substitution and permutation operations through quantum-based parameter generation. This gap motivated the development of a hybrid system that leverages quantum walk dynamics. The current study addresses these concerns by proposing a novel integration of quantum-based probability distributions into a widely used encryption standard.

Purpose Of The Study:

The aim of this study is to develop a robust image encryption scheme by combining quantum walk dynamics with a standard cryptographic framework. Researchers sought to address the vulnerabilities inherent in traditional encryption methods when applied to visual data. The team focused on utilizing quantum properties to enhance the generation of keystreams and internal transformation constants. By creating a probability distribution matrix from quantum parameters, the authors intended to increase the complexity of the encryption process. This motivation stemmed from the need to improve resistance against statistical and correlation-based attacks. The study also aimed to modify existing substitution and permutation rules to ensure higher security levels. The researchers intended to demonstrate that this hybrid approach maintains the efficiency of the original standard while providing superior protection. Ultimately, the work seeks to provide a reliable solution for securing sensitive digital images against modern threats.

Main Methods:

The review approach evaluates a hybrid cryptographic scheme designed for digital image protection. Researchers utilized simulation-based verification to assess the performance of the proposed algorithm against various security benchmarks. The investigation focused on metrics such as pixel correlation and histogram analysis to determine the statistical properties of the encrypted output. The team also tested the resilience of the system against differential and noise-based attacks. They implemented a keystream generator that relies on specific quantum parameters to produce a probability distribution matrix. This matrix was then employed to extract singular values for key generation and to modify standard transformation constants. The study compared the performance of this new method against existing improved versions of the same cryptographic standard. This systematic assessment allowed the authors to quantify the improvements in security and resistance to unauthorized decryption attempts.

Main Results:

The strongest finding indicates that the hybrid algorithm achieves a remarkable encryption effect for digital images. The researchers report that the system significantly improves the ability to resist correlation attacks compared to other modified versions of the standard. Statistical analysis shows that the encrypted images exhibit low pixel correlation, which is essential for preventing unauthorized information recovery. Histogram tests confirm that the distribution of pixel values in the ciphertext is uniform, indicating high security. The algorithm successfully incorporates quantum-derived probability matrices to scramble internal mapping rules, ensuring high key sensitivity. Differential attack testing reveals that the system maintains robust protection even when small changes are made to the plaintext. The authors demonstrate that the modified substitution and permutation operations effectively prevent statistical patterns from emerging in the encrypted data. These results confirm that the integration of quantum walk parameters enhances the overall security performance of the encryption process.

Conclusions:

The proposed hybrid system demonstrates a significant improvement in securing digital images against unauthorized access. Authors report that the integration of quantum-inspired probability matrices enhances the overall robustness of the encryption process. This synthesis of techniques provides a stronger defense against correlation-based attacks compared to standard implementations. The results indicate that the modified substitution and permutation operations effectively increase the complexity of the ciphertext. Researchers highlight that the system maintains the operational benefits of the original standard while adding layers of quantum-derived security. The findings suggest that the approach is highly effective for protecting sensitive visual information in digital environments. This study confirms that leveraging quantum walk parameters offers a viable path for upgrading existing cryptographic tools. The authors conclude that their method provides a reliable and efficient solution for modern image protection requirements.

The researchers propose a hybrid mechanism where probability distribution matrices from quantum walks dictate key generation and modify internal transformation rules. This approach replaces standard constants and reorders substitution tables to increase ciphertext complexity, unlike traditional methods that rely on fixed parameters.

The system utilizes a probability distribution matrix derived from quantum walk parameters. This matrix serves as a source for key extraction and replaces the standard round constant, providing a dynamic foundation for the encryption process that differs from static key generation techniques.

The authors state that modifying the substitution box and row shifting rules is necessary to prevent correlation attacks. By using the sorted distribution matrix to scramble these operations, the algorithm achieves higher resistance to statistical analysis than standard implementations.

The researchers use the matrix to scramble mapping rules for substitution and permutation. This role ensures that the encryption process remains sensitive to the initial quantum parameters, whereas standard algorithms typically use fixed, predictable rules for these transformations.

The authors measured performance using pixel correlation, histograms, and differential attack resistance. They observed that the modified algorithm demonstrates superior protection against noise and statistical analysis compared to conventional encryption methods, which often show higher correlation values.

The researchers propose that this hybrid approach improves the ability to resist correlation attacks. They claim that by combining quantum-derived parameters with the existing standard, the system achieves a more secure output than previous improved versions of the same algorithm.