Theoretical Research on Encryption Methods Based on Quantum Computing and Quantum-Resistant Attack Algorithm

The main purpose of this review is to deal with questions related to the nature of quantum information and particularly with quantum entanglement as an important component of quantum information and computing. We will not discuss here quantum computer algorithms, like the algorithm by Shor, or their advantages and disadvantages. We only cover the material that lies at the foundations of quantum information and computing and epistemological questions. We attempt to connect the famous debate between Einstein and Bohr on quantum entanglement to some of the latest work on qubits and quantum computing and to the mathematical theorems that form the basis of these discussions, particularly the theorem of Bell. We present a critical analysis of this material and hope that this will give the reader a better understanding of what can be said with certainty about the nature of quantum information.

This study explores the dual impact of quantum computing on cybersecurity, focusing on the challenges it poses to existing cryptographic standards and the opportunities it presents for enhancing secure communication. Through a comprehensive review of current literature and analysis of emerging quantum-resistant technologies such as Quantum Key Distribution (QKD) and Post-Quantum Cryptography (PQC), the research identifies key vulnerabilities in traditional encryption methods and outlines the potential of quantum technologies to revolutionize cybersecurity practices. The study emphasizes the urgent need for the development and standardization of quantum-resistant cryptographic solutions to safeguard digital assets against the computational capabilities of quantum technologies. Policy recommendations are psroposed to accelerate the adoption of quantum-safe standards and to foster collaboration among stakeholders in the cybersecurity ecosystem. Furthermore, the study highlights areas for future research, including the scalability of quantum-resilient solutions and the ethical implications of quantum computing on privacy and security. Conclusively, the findings suggest that a proactive and collaborative approach is essential for navigating the quantum computing era, underscoring the importance of preparing a quantum-resilient cybersecurity infrastructure to ensure the long-term security of digital communications and assets.

Certain algorithms for quantum computers are able to outperform their classical counterparts. In 1994, Peter Shor came up with a quantum algorithm that calculates the prime factors of a large number vastly more efficiently than a classical computer. For general scalability of such algorithms, hardware, quantum error correction, and the algorithmic realization itself need to be extensible. Here we present the realization of a scalable Shor algorithm, as proposed by Kitaev. We factor the number 15 by effectively employing and controlling seven qubits and four "cache qubits" and by implementing generalized arithmetic operations, known as modular multipliers. This algorithm has been realized scalably within an ion-trap quantum computer and returns the correct factors with a confidence level exceeding 99%.

In order to overcome the problem that the accuracy of privacy information mining in the existing privacy data encryption methods of student archives is lower than that of encryption security, this paper proposes a privacy information encryption method in student archives based on blockchain technology. In order to improve the effectiveness and security of encryption, singular value decomposition (SVD) method is used to mine the privacy information in students' archives. Based on the results of privacy information mining, combined with chaotic encryption technology in blockchain, the encryption function of privacy information in student archives is constructed to complete the encryption of privacy information in student archives. Experimental results show that, compared with the traditional encryption method, this method can effectively improve the accuracy of privacy information mining, and has high encryption security.

Because the image has the characteristics of large amount of information and high redundancy, the traditional AES, DES and other encryption methods applied to text and numbers can not be effective. Chaotic sequence algorithm has natural similarity with cryptography, such as extreme sensitivity to initial value, ergodicity, non-periodicity, pseudo-randomness and very high iterative rate. as a result, the encryption of chaotic sequence algorithm in the field of electronic conference image will be better than the traditional encryption method, and it has become a new direction to solve the problem of electronic conference image encryption. However, the limited computer accuracy will also reduce the randomness of chaotic sequences. in order to make up for this defect, this paper uses the idea of hybrid encryption to design a more secure and efficient hybrid chaotic sequence encryption algorithm.

Quantum Machine Learning (QML) is a new phraseology in the world today. With various upcoming Artificial Intelligence (AI) technologies, everyday data scientists and corporate around the world are trying to harness its power. QML borrows concepts of Quantum Computing and QML algorithms enhance the existing Machine Learning (ML) algorithms by processing datasets more efficiently. Quantum Computers are a powering force driving QML algorithms that boosts computational power and helps analyse data. QML algorithms can be applied in sectors involving number crunching, pattern identification and so on. In the existing world, QML can be a game-changer for organizations that work on identifying product correlations and customer behaviour in a brief time. This paper discusses studies related to principles of Quantum Mechanics, Quantum Computing and QML algorithm. Additionally, it explores opportunities and challenges faced in the field of QML. Lastly, the paper talks about QML applications and compares various available QML toolkits from the market. Future direction and exhaustive survey of papers from various spectrums related to Quantum Computing is presented in this paper.

The deterministic quantum computing with one qubit (DQC1) is a mixed-state quantum computation algorithm that evaluates the normalized trace of a unitary matrix and is more powerful than the classical counterpart. We find that the normalized trace of the unitary matrix can be directly described by the entangling power of the quantum circuit of the DQC1, so the nontrivial DQC1 is always accompanied with the non-vanishing entangling power. In addition, it is shown that the entangling power also determines the intrinsic complexity of this quantum computation algorithm, i.e., the larger entangling power corresponds to higher complexity. Besides, it is also shown that the non-vanishing entangling power does always exist in other similar tasks of DQC1.

An application of an evolutionary approach to hardware design is presented. A genetic algorithm was developed to discover good designs for quantum computer algorithms. The algorithms are expressed as quantum operator sequences applied in a circuit model. The circuits discovered are configurations of special purpose quantum computers. We have been exploring the evolution of algorithms as alternative configurations of hardware. By simulation it is established that the circuits will correctly compute a small collection of basic, low-level functions. Experiments produced designs for primitive quantum computers that evaluate logical or arithmetic functions with a total of twelve or fewer inputs and outputs.

A quantum computation algorithm is demonstrated using single photons and linear optics. Quantum registers are realized by modes and polarization of photons, and the unitary transformations for them are implemented with linear optics. For each quantum computation, the answer to the Deutsch Jozsa problem for any 4 bit digit is given by a single-photon detection signal with a small error rate. The origin of the error is also studied and categorized according to the sources: systematic errors of quantum gates, phase relaxation, amplitude dumping, and misreadout. It is suspected that a demonstration of 11 qubits using linear optics anda single photon with less than a 20 % error rate is achievable by the technique used in the experiment. As a further objective, an idea to construct controlled-NOT gate using quantum phase gate (QPG) given by Chuang et. al., is introduced and experiments on the QPGs are also reviewed.

Modem digital security based on classical cryptographic methods is likely to become obsolete because quantum algorithms such as Shor's and Grover's algorithms will become available. The paper uses research data and experimental findings and methodological analysis to understand new trends in the field. The manuscript examines the path toward post-quantum cryptography together with the necessary tactics to defend future security systems facing quantum-computing technological advancement.

When we step into the new internet era, large numbers of new techniques have emerged in order to make our life better. However, these new techniques require some new properties in order to keep personal information confidentially which the traditional encryption method cannot catch up with. Recently, a new encryption primitive called Attribute Based Encryption(ABE) have appeared because it can achieve both information security and fine-grained access control. Although the ABE scheme has these new characters which can keep the information security that can fit for the new widely used technique, nevertheless, the characteristic of attributes are treated in the identical level in most of traditional schemes. In the real scenario, the importance of each attributes is always different. In this paper, we propose a scheme called Key-Policy Weighted Attribute based Encryption (KP-WABE) while the attributes have different weights according to their importance in the system. The KP-WABE scheme is proved to be secure under the l-th Bilinear Diffie-Hellman Inversion Assumption. Our scheme can be considered as the generalization of traditional KP-ABE scheme when all attributes have equal weights.

Quantum computation using continuous-time evolution under a natural hardware Hamiltonian is a promising near- and mid-term direction toward powerful quantum computing hardware. We investigate the performance of continuous-time quantum walks as a tool for finding spin glass ground states, a problem that serves as a useful model for realistic optimization problems. By performing detailed numerics, we uncover significant ways in which solving spin glass problems differs from applying quantum walks to the search problem. Importantly, unlike for the search problem, parameters such as the hopping rate of the quantum walk do not need to be set precisely for the spin glass ground state problem. Heuristic values of the hopping rate determined from the energy scales in the problem Hamiltonian are sufficient for obtaining a better quantum advantage than for search. We uncover two general mechanisms that provide the quantum advantage: matching the driver Hamiltonian to the encoding in the problem Hamiltonian, and an energy redistribution principle that ensures a quantum walk will find a lower energy state in a short timescale. This makes it practical to use quantum walks for solving hard problems, and opens the door for a range of applications on suitable quantum hardware.

Information resources and information systems are among the main protected elements in all spheres of life of modern enterprises [11-15]. Today, the means of negative information impact on these elements are actively developing, the counteraction of which requires extensive diverse research and development of relevant concepts, programs for organizing specific work in the field of creating tools, methods and techniques for ensuring information security. Illegal distribution of digital documents by authorized but unscrupulous users is a growing threat to the confidentiality of organizations, which a document management system using only encryption methods cannot fully cope with. This problem occurs together with access to a digital document by unauthorized users. In this article, as a countermeasure to protect digital documents from these two threats, a new approach is proposed that carefully combines encryption and fingerprinting methods at certain stages of the digital document lifecycle. Within this scenario, a full analysis was carried out, in which the main constituent elements, their interaction, data flow and the provision of security services were identified. This protection system guarantees a sufficient level of security, since it uses standard cryptographic algorithms and recommended key sizes. The purpose of this approach is to provide information security services such as confidentiality, integrity, authentication, non-repudiation and user tracking, thereby protecting digital documents throughout their entire life cycle.

In the modern society of digitalization, integration, intelligence, and networking, while people enjoy the convenience of information technology to their production and lives, information security in the network, as the cornerstone of information communication, becomes more and more important. The research is to establish a new image encryption (IE) method based on LFSR state sequence (SS)s in VHDL language, and the stream cipher of LFSR is studied in detail to induce the idea of LFSR SSs based on VHDL language. The correlation coefficient (CC) of the original image (OI) and encrypted image (EI) pixel points (PP) are analyzed from horizontal direction, vertical direction and diagonal direction, and the results show that the CC of adjacent PP of the OI is large, which approaches 1. However, using the encryption algorithm proposed in this paper, the correlation coefficient of the PP of the EI is -0.0282 in the diagonal direction, and the highest correlation coefficient in the horizontal direction is only 0.0122, which indicates that the adjacent PP of the EI are almost uncorrelated with each other. Therefore, the encryption method can well resist statistical attacks, which illustrates the effectiveness, security, and reliability of this new IE method.

Quantum image encryption (QIE) has emerged as a promising solution for securing digital data in an era dominated by rapid advancements in quantum computing and increasing cyber threats. Traditional cryptographic techniques, which rely on classical encryption methods, are vulnerable to the computational power of quantum algorithms, posing significant challenges for maintaining data privacy and integrity. This survey presents a thorough review of quantum encryption techniques, highlighting both their limitations and advantages, with a particular emphasis on their ability to ensure secure visual data transmission in the post-quantum era. Additionally, it provides a comparative analysis of classical and quantum cryptographic techniques, with a primary focus on quantum encryption methods. The survey also explores potential solutions to address the challenges inherent in classical encryption schemes, highlighting how these challenges can be mitigated through quantum encryption approaches. As quantum computing continues to evolve, the need for quantum-secure encryption methods becomes more critical. This survey not only highlights the innovative techniques that show promise for future secure visual data transmission but also identifies key areas for future research and development, paving the way for robust and scalable solutions in the quantum computing era.