Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Multigraphs: emergence from Hilbert space subdivision in superposed quantum systems and their image encoding application

Luis Cruz

Published Jul 15, 2024• 0 citations
Publisher

Abstract

Quantum computing has emerged as a transformative field, offering unprecedented capabilities that promise to revolutionize various domains such as cryptography, data encoding, and information processing. This study explores the potential of quantum systems and their associated phenomena in generating pseudo-random numbers, image encryption, and multigraph representation. Initially, this research proposes an algorithm leveraging quasi-probabilities inherent in quantum mechanics to construct a Pseudo Random Number Generator (PRNG) from a small quantum system. Through rigorous testing, the ability of this approach to generate deterministic sequences of pseudo-random numbers is demonstrated, highlighting the efficiency and unpredictability of quantum-generated random numbers. Subsequently, an encryption and decryption algorithm based on the PRNG is developed and evaluated, analyzing its robustness against common attacks such as cropping, noise, and correlation. The findings underscore the heightened security offered by quantum-based encryption schemes, paving the way for fundamentally secure image transmission and storage. Moreover, this research introduces a novel framework for representing multigraphs within quantum systems. This innovative approach allows the generation of graphs with varying vertex or edge label density, opening new avenues for data representation and processing. Therefore, this study contributes to the advancement of quantum computing by demonstrating the efficacy of quantum systems in generating pseudo-random numbers, enhancing image encryption security, and offering insights into the representation of multigraphs within quantum contexts.

DOI
10.14393/ufu.di.2024.489

Related papers

Quantum-based PRNG for image encryption: a comprehensive study

Luis José Mantilla Santa Cruz, Luis Fernando Faina, João Henrique de Souza Pereira

Quantum computing, grounded in the principles of quantum mechanics, has ushered in a new era of intriguing possibilities and fresh scientific insights. In this document, we present an innovative algorithm tailored for the encryption and decryption of images. This algorithm harnesses the quasi-probability values extracted from each state within the quantum system, represented as |ψ〉. These numerical values are seamlessly integrated with conventional data to facilitate image encryption and decryption processes. Our methodology undergoes comprehensive validation and evaluation through extensive simulations performed on the IBM Qiskit Aer simulator. We subject the generated numerical sequence to rigorous statistical scrutiny using the NIST SP 800-22 suite, ensuring its authenticity and reliability. Employing a quantum system comprising 3 qubits and uniform rotation gates, our algorithm produces a dataset consisting of 41,943,040 binary digits. Additionally, we conduct a thorough assessment encompassing both visual and statistical analyses to ascertain the effectiveness and robustness of our proposed algorithm. Furthermore, we emphasize the critical importance of achieving a quasi-probability error rate of 10−6 for real-world implementation, highlighting the practical viability and scalability of our approach. Through comparative analysis and meticulous examination of correlation patterns, our study provides invaluable insights into the distinctive characteristics and efficacy of our encryption scheme.

Communications in Statistics - Simulation and Computation•Oct 3, 2024•0 citations

Quantum Random Number Generator-Based Cryptographic Algorithm Design

Jincheng Zhang

This paper explores the design of cryptographic algorithms leveraging the inherent randomness of quantum random number generators (QRNGs). Traditional cryptographic algorithms often rely on pseudo-random number generators (PRNGs), which are deterministic and therefore vulnerable to attacks if their internal state is compromised. QRNGs, on the other hand, derive their randomness from quantum mechanical phenomena, offering a fundamentally unpredictable source of numbers. This research investigates the application of QRNGs to enhance cryptographic security, focusing on constructing algorithms that exploit this unique property. The core claim is that utilizing QRNG characteristics allows for the design of more secure cryptographic algorithms. The proposed mechanism involves capitalizing on the non-deterministic nature of QRNGs to build algorithms with heightened security levels. This approach presents a novel security guarantee method by incorporating true randomness into cryptographic processes. We examine specific algorithm designs and analyze their security implications compared to traditional PRNG-based approaches. The paper concludes with a discussion on the challenges and future directions of utilizing QRNGs in cryptography.

•Sep 1, 2026•0 citations

Qryptographix: Quantum Image Encryption via Random Gates

K. Ramkumar, N. Indumathi, P Somasundari +1 more

In the context of secure communication, the increasing capabilities of quantum computing present a significant challenge to traditional encryption methods. To address this issue, this study explores an innovative approach to image encryption by utilizing quantum gates. By harnessing the fundamental principles of quantum mechanics and quantum computing, the research introduces a novel encryption framework implemented through Quantum Circuit in Qiskit. The study begins with a thorough examination of quantum gates and classical encryption techniques, pointing out the vulnerabilities of classical systems in the face of quantum advancements. The encryption process involves converting images into their binary forms and then applying quantum circuits to achieve encryption. Through a series of experiments, the proposed approach’s performance is evaluated by analyzing encrypted images and various security metrics. The findings 139 highlight the potential of quantum-based encryption techniques to enhance the security of communications in the quantum era. This work contributes to the growing field of quantum cryptography by demonstrating the feasibility of applying quantum gates to secure image transmission. Furthermore, it opens the door to exploring future advancements in quantum encryption methods and their practical integration into real-world communication systems.

CRC Press eBooks•Oct 6, 2025•0 citations

Exploring quantum systems for pseudo-random number generation

Luis José Mantilla Santa Cruz, Luis Fernando Faina, João Henrique de Souza Pereira

Abstract Quantum realizations have opened a new ways for computer science. The new characteristics and phenomenons allow us to create new algorithms for general proposes. An interesting topic is random number generation. There are two perspectives for this proposes. True random numbers generator (TRN) and pseudo random numbers generator (PRNG). True Random Number Generators has four significant characteristics: randomness, long Period, insensitivity to seeds, repeatability. Additionally, Pseudo Random Number Generators is a fascinating topic that leverages the principles of computer science to craft deterministic algorithms, enabling the creation of a sequence of pseudo-random numbers. A crucial element in this process is the 'seed', which serves as the initial value to generate the entire sequence. This document proposes a algorithm based on a quantum system and the quasi-probability of its possible states to generate a long set of numbers which has pseudo random properties. The quantum system is compound by n qubits, its initial conditions and a small set of rotation gates with a fixed angle. The tests were realized using the battery test called NIST SP800-22, and alpha=0.01 as a threshold to ensures 99\% of precision. The results demonstrate that it is possible generate a long set of pseudo numbers with random characteristics using a quantum simple operation. However, the experiments reveal that a real world implementation require a quantum system with at least 10-9 precision order.

Quantum Studies Mathematics and Foundations•Oct 4, 2024•2 citations

Algorithmic Cryptography – Dynamic Key Generation via Quantum-Enhanced Random Number Generation

Jincheng Zhang

This paper introduces an algorithmic cryptographic system predicated on dynamic key generation utilizing quantum-enhanced random number generation. Traditional cryptographic methods rely on deterministic processes and computational complexity, making them susceptible to various attacks. We propose a novel approach that leverages quantum superposition and entanglement to produce keys with substantially higher entropy and resistance to known attacks. The core mechanism centers around establishing a 'seed' – a fundamentally unpredictable state – within a quantum system that serves as the foundation for generating truly random keys. The system's design incorporates advanced quantum algorithms to enhance the randomness and security of key creation. This research explores the potential of quantum-enhanced randomness to revolutionize key generation, offering a significant advancement over existing methods.

•Sep 6, 2026•0 citations

Enhancing Quantum Random Number Generators, Cryptographic Security, and Machine Learning-Based Cryptoanalysis

U. Jayalatsumi, T. Godhavari, Borra Keerthana +2 more

Randomness is essential in cryptography for key generation and secure information exchange, ensuring confidentiality and protection. Quantum Random Number Generators (QRNGs) leverage quantum mechanics to produce truly random numbers, offering a major advantage over Pseudo Random Number Generators (PRNGs), which are slower and less secure due to their deterministic nature. Quantum computing boosts QRNG efficiency, making them ideal for cryptographic applications, such as secure key exchange and encrypted communication. QRNGs generate stronger encryption systems by utilizing quantum phenomena like Bloch sphere rotations. The integration of machine learning (ML) with QRNGs further enhances their effectiveness, optimizing random sequences for improved speed and security. This combination of QRNGs and ML provides a powerful approach to cryptography, ensuring more secure communication channels and better protection against potential attacks.

Advances in computational intelligence and robotics book series•Jun 11, 2025•1 citation
Quantum computing has emerged as a transformative field, offering unprecedented capabilities that promise to revolutionize various domains such as cryptography, data encoding, and information processing. This study explores the potential of quantum systems and their associated phenomena in generating pseudo-random numbers, image encryption, and multigraph representation. Initially, this research proposes an algorithm leveraging quasi-probabilities inherent in quantum mechanics to construct a Pseudo Random Number Generator (PRNG) from a small quantum system. Through rigorous testing, the ability of this approach to generate deterministic sequences of pseudo-random numbers is demonstrated, highlighting the efficiency and unpredictability of quantum-generated random numbers. Subsequently, an encryption and decryption algorithm based on the PRNG is developed and evaluated, analyzing its robustness against common attacks such as cropping, noise, and correlation. The findings underscore the heightened security offered by quantum-based encryption schemes, paving the way for fundamentally secure image transmission and storage. Moreover, this research introduces a novel framework for representing multigraphs within quantum systems. This innovative approach allows the generation of graphs with varying vertex or edge label density, opening new avenues for data representation and processing. Therefore, this study contributes to the advancement of quantum computing by demonstrating the efficacy of quantum systems in generating pseudo-random numbers, enhancing image encryption security, and offering insights into the representation of multigraphs within quantum contexts.
Quantum computing, grounded in the principles of quantum mechanics, has ushered in a new era of intriguing possibilities and fresh scientific insights. In this document, we present an innovative algorithm tailored for the encryption and decryption of images. This algorithm harnesses the quasi-probability values extracted from each state within the quantum system, represented as |ψ〉. These numerical values are seamlessly integrated with conventional data to facilitate image encryption and decryption processes. Our methodology undergoes comprehensive validation and evaluation through extensive simulations performed on the IBM Qiskit Aer simulator. We subject the generated numerical sequence to rigorous statistical scrutiny using the NIST SP 800-22 suite, ensuring its authenticity and reliability. Employing a quantum system comprising 3 qubits and uniform rotation gates, our algorithm produces a dataset consisting of 41,943,040 binary digits. Additionally, we conduct a thorough assessment encompassing both visual and statistical analyses to ascertain the effectiveness and robustness of our proposed algorithm. Furthermore, we emphasize the critical importance of achieving a quasi-probability error rate of 10−6 for real-world implementation, highlighting the practical viability and scalability of our approach. Through comparative analysis and meticulous examination of correlation patterns, our study provides invaluable insights into the distinctive characteristics and efficacy of our encryption scheme.
This paper explores the design of cryptographic algorithms leveraging the inherent randomness of quantum random number generators (QRNGs). Traditional cryptographic algorithms often rely on pseudo-random number generators (PRNGs), which are deterministic and therefore vulnerable to attacks if their internal state is compromised. QRNGs, on the other hand, derive their randomness from quantum mechanical phenomena, offering a fundamentally unpredictable source of numbers. This research investigates the application of QRNGs to enhance cryptographic security, focusing on constructing algorithms that exploit this unique property. The core claim is that utilizing QRNG characteristics allows for the design of more secure cryptographic algorithms. The proposed mechanism involves capitalizing on the non-deterministic nature of QRNGs to build algorithms with heightened security levels. This approach presents a novel security guarantee method by incorporating true randomness into cryptographic processes. We examine specific algorithm designs and analyze their security implications compared to traditional PRNG-based approaches. The paper concludes with a discussion on the challenges and future directions of utilizing QRNGs in cryptography.
In the context of secure communication, the increasing capabilities of quantum computing present a significant challenge to traditional encryption methods. To address this issue, this study explores an innovative approach to image encryption by utilizing quantum gates. By harnessing the fundamental principles of quantum mechanics and quantum computing, the research introduces a novel encryption framework implemented through Quantum Circuit in Qiskit. The study begins with a thorough examination of quantum gates and classical encryption techniques, pointing out the vulnerabilities of classical systems in the face of quantum advancements. The encryption process involves converting images into their binary forms and then applying quantum circuits to achieve encryption. Through a series of experiments, the proposed approach’s performance is evaluated by analyzing encrypted images and various security metrics. The findings 139 highlight the potential of quantum-based encryption techniques to enhance the security of communications in the quantum era. This work contributes to the growing field of quantum cryptography by demonstrating the feasibility of applying quantum gates to secure image transmission. Furthermore, it opens the door to exploring future advancements in quantum encryption methods and their practical integration into real-world communication systems.
Abstract Quantum realizations have opened a new ways for computer science. The new characteristics and phenomenons allow us to create new algorithms for general proposes. An interesting topic is random number generation. There are two perspectives for this proposes. True random numbers generator (TRN) and pseudo random numbers generator (PRNG). True Random Number Generators has four significant characteristics: randomness, long Period, insensitivity to seeds, repeatability. Additionally, Pseudo Random Number Generators is a fascinating topic that leverages the principles of computer science to craft deterministic algorithms, enabling the creation of a sequence of pseudo-random numbers. A crucial element in this process is the 'seed', which serves as the initial value to generate the entire sequence. This document proposes a algorithm based on a quantum system and the quasi-probability of its possible states to generate a long set of numbers which has pseudo random properties. The quantum system is compound by n qubits, its initial conditions and a small set of rotation gates with a fixed angle. The tests were realized using the battery test called NIST SP800-22, and alpha=0.01 as a threshold to ensures 99\% of precision. The results demonstrate that it is possible generate a long set of pseudo numbers with random characteristics using a quantum simple operation. However, the experiments reveal that a real world implementation require a quantum system with at least 10-9 precision order.
This paper introduces an algorithmic cryptographic system predicated on dynamic key generation utilizing quantum-enhanced random number generation. Traditional cryptographic methods rely on deterministic processes and computational complexity, making them susceptible to various attacks. We propose a novel approach that leverages quantum superposition and entanglement to produce keys with substantially higher entropy and resistance to known attacks. The core mechanism centers around establishing a 'seed' – a fundamentally unpredictable state – within a quantum system that serves as the foundation for generating truly random keys. The system's design incorporates advanced quantum algorithms to enhance the randomness and security of key creation. This research explores the potential of quantum-enhanced randomness to revolutionize key generation, offering a significant advancement over existing methods.
Randomness is essential in cryptography for key generation and secure information exchange, ensuring confidentiality and protection. Quantum Random Number Generators (QRNGs) leverage quantum mechanics to produce truly random numbers, offering a major advantage over Pseudo Random Number Generators (PRNGs), which are slower and less secure due to their deterministic nature. Quantum computing boosts QRNG efficiency, making them ideal for cryptographic applications, such as secure key exchange and encrypted communication. QRNGs generate stronger encryption systems by utilizing quantum phenomena like Bloch sphere rotations. The integration of machine learning (ML) with QRNGs further enhances their effectiveness, optimizing random sequences for improved speed and security. This combination of QRNGs and ML provides a powerful approach to cryptography, ensuring more secure communication channels and better protection against potential attacks.