With the continuous development of quantum technology and the gradual advancement of quantum computers, the challenges faced by modern cryptography are becoming increasingly diverse. When analyzing the security strength of cryptographic algorithms against quantum attacks, the construction of quantum implementation circuits is a crucial aspect. Symmetric-key cryptography is an important component of modern cryptography. This study reviews the research results of optimizing the quantum implementation of symmetric-key cryptography under quantum computing models. Specifically, this work summarizes the construction of reversible circuits for linear layers, Substitution-boxes (S-boxes), and various addition operations, as well as the quantum implementation of symmetric-key ciphers such as AES, SM4, and Camellia.
With the continuous development of quantum technology and the gradual advancement of quantum computers, the challenges faced by modern cryptography are becoming increasingly diverse. When analyzing the security strength of cryptographic algorithms against quantum attacks, the construction of quantum implementation circuits is a crucial aspect. Symmetric-key cryptography is an important component of modern cryptography. This study reviews the research results of optimizing the quantum implementation of symmetric-key cryptography under quantum computing models. Specifically, this work summarizes the construction of reversible circuits for linear layers, Substitution-boxes (S-boxes), and various addition operations, as well as the quantum implementation of symmetric-key ciphers such as AES, SM4, and Camellia.
The development of quantum computers represents an important advancement in computing, using quantum mechanics to address problems that were previously difficult to solve. This technological advancement poses a challenge for cryptographic systems. While some methods are known to be vulnerable, the impact of quantum computing on symmetric cryptography has received less research attention, largely because the common advice is to simply double the key size. This paper explores how quantum computing affects symmetric cryptography, focusing on block cipher-based cryptography. It surveys existing literature on the quantum resilience of symmetric cryptographic primitives based on block ciphers and their security in various scenarios. Not all symmetric cryptographic functionalities are quantum-secure, and their security depends on the specific adversary model being considered. We provide an overview of the research conducted and pinpoint areas where further investigation is needed.
With the ever-growing concern for internet security, the field of quantum cryptography emerges as a promising solution for enhancing the security of networking systems. In this paper, 20 notable papers from leading conferences and journals are reviewed and categorized based on their focus on various aspects of quantum cryptography, including key distribution, quantum bit commitment, post-quantum cryptography, and counterfactual quantum key distribution. The paper explores the motivations and challenges of employing quantum cryptography, addressing security and privacy concerns along with existing solutions. Secure key distribution, a critical component in ensuring the confidentiality and integrity of transmitted information over a network, is emphasized in the discussion. The survey examines the potential of quantum cryptography to enable secure key exchange between parties, even when faced with eavesdropping, and other applications of quantum cryptography. Additionally, the paper analyzes the methodologies, findings, and limitations of each reviewed study, pinpointing trends such as the increasing focus on practical implementation of quantum cryptography protocols and the growing interest in post-quantum cryptography research. Furthermore, the survey identifies challenges and open research questions, including the need for more efficient quantum repeater networks, improved security proofs for continuous variable quantum key distribution, and the development of quantum-resistant cryptographic algorithms, showing future directions for the field of quantum cryptography.
The emergence of quantum computing presents profound implications for classical cryptographic systems, including symmetric encryption. This chapter surveys the impact of quantum computing on symmetric cryptography, outlines key challenges such as reduced security margins and implementation vulnerabilities, and explores mitigation strategies including increased key sizes, quantum-resistant designs, hybrid encryption models, and algorithm agility. Future research directions are discussed, emphasizing the need for quantum-native symmetric primitives, efficient post-quantum implementations, and secure key exchange through quantum key distribution. The chapter advocates for a proactive transition toward quantum-resilient cryptographic infrastructures to ensure long-term data security.
Substitution boxes (S-boxes) serve as fundamental non-linear components in symmetric cryptography, and their quantum circuit implementation is critical for quantum security. This work addresses the dual challenges of quantum circuit depth optimization and computational intractability in S-box synthesis. We introduce memory-optimized data structures, a pointer-efficient RandomAccessSet and a dynamic devector, that reduce memory overhead by 12 times per element, thereby mitigating the computational complexity associated with Pauli representation. Our enhanced Meet-in-the-Middle framework achieves exhaustive depth optimization for standardized S-boxes, demonstrating up to 8.5% depth reduction over DORCIS baselines at equivalent T-depth. The approach scales to 5-8-bit primitives, establishing memory efficiency as an independent resource dimension in quantum circuit synthesis. Comparative analysis under varied cost parameters provides new insights for resource-efficient cryptographic implementations on quantum hardware.
In recent years, the quantum circuit implementation in symmetric cryptography has attracted widespread attention. The SM4 block cipher algorithm is China's first commercial cipher standard and was accepted as an ISO/IEC international standard in 2021. S-box is the most complex component in the SM4 block cipher algorithm. This study investigates the quantum circuit implementation of the SM4 S-box. Based on the algebraic structure, using tower filed decomposition technology, the quantum circuit of the SM4 S-box is built. Based on the number of NCT gate sets, our quantum circuit requires 20 qubits, 52 Toffoli gates, 196 CNOT gates, and 13 X gates. The Toffoli depth of our circuit is 36. Compared with previous literature, the quantum circuit proposed herein requires fewer quantum resources.
Quantum cryptography, a branch of cryptography that leverages the principles of quantum mechanics, has emerged as a critical field in the face of the looming quantum computing threat to classical cryptographic systems. This paper explores the current landscape of quantum cryptography, focusing on the threats posed by quantum computers, the development and evaluation of post-quantum cryptographic algorithms, and the challenges associated with their implementation. We provide a comprehensive overview of the theoretical and practical aspects of quantum cryptography, including quantum key distribution (QKD), quantum-resistant algorithms, and the integration of these technologies into existing communication infrastructures. The paper also discusses the future directions and potential advancements in the field, highlighting the importance of continued research and collaboration to ensure the security of cryptographic systems in the post-quantum era