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arXiv:2005.01510

Anti-Forging Quantum Data: Cryptographic Verification of Quantum Computational Power

Man‐Hong Yung, Bin Cheng

Published May 4, 2020• 0 citations
arXivHTMLPDF

Abstract

Quantum cloud computing is emerging as a popular model for users to experience the power of quantum computing through the internet, enabling quantum computing as a service. The question is, when the scale of the computational problems becomes out of reach of classical computers, how can users be sure that the output strings sent by the server are really from a quantum hardware? In 2008, Shepherd and Bremner proposed a cryptographic verification protocol based on a simplified circuit model called IQP (instantaneous quantum polynomial-time), which can potentially be applied to most existing quantum cloud platforms. However, the Shepherd-Bremner protocol has recently been shown to be insecure by Kahanamoku-Meyer. Here we present an extended model of IQP-based cryptographic verification protocol, where the Shepherd-Bremner construction can be regarded as a special case. This protocol not only can avoid the attack by Kahanamoku-Meyer but also provide several additional security measures for anti-forging quantum data. In particular, our protocol admits a simultaneous encoding of multiple secret strings, strengthening significantly the hardness for classical hacking. Furthermore, we provide methods for estimating the correlation functions associated with the secret strings, which are the key elements in our verification protocol.

DOI
10.48550/arxiv.2005.01510

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Ongoing investigations also include quantum coin tossing and oblivious transfer, which aim to enable secure two-party computations and fair decision-making without trusting a single party. These protocols are progressively shaping the future of secure cloud services by addressing novel threats posed by quantum computing capabilities. 6.Quantum Secure Direct Communication This section delves deeper into the principles, implementation methods, and evolving use cases of quantum coin tossing and oblivious transfer within the context of quantum-secure cloud communication. Quantum coin tossing enables two remote parties to generate a random outcome in a way that neither can cheat or bias the result, even in the presence of advanced quantum adversaries. Oblivious transfer, on the other hand, allows a sender to transfer one of potentially many pieces of information to a receiver, where the sender remains oblivious to which piece was chosen, enhancing privacy in quantum-secure protocols. 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Furthermore, educating stakeholders and fostering awareness about post-quantum security implications will play a crucial role in facilitating smooth adoption and compliance across industries. In addition, cross-disciplinary initiatives involving academia, industry, and government will be essential to accelerate the transition toward quantum-resilient cloud infrastructures. Such partnerships can drive the creation of shared testbeds, encourage best practices, and support continuous evaluation of emerging quantum security solutions. The synergy between these sectors is expected to enable more robust integration of quantum-safe mechanisms, ensuring that cloud services remain secure and adaptable as quantum technologies mature. 6.1.Quantum Coin Tossing and Oblivious Transfer Collaborative research efforts will also help identify gaps in current protocols and inspire innovative approaches to integrating quantum-resistant techniques within complex cloud environments. These collaborative initiatives will also facilitate the early adoption of post-quantum cryptographic alternatives, ensuring cloud infrastructures remain resilient against evolving threats. Furthermore, ongoing industry-academic-government collaborations will be crucial for standardizing post-quantum cryptography alternatives, promoting interoperability, and accelerating widespread deployment in the cloud. 7.Post-Quantum Cryptography Alternatives Such alternatives include lattice-based, hash-based, code-based, and multivariate schemes, each offering varying levels of security and implementation complexity suitable for diverse cloud applications. As cloud providers evaluate these schemes, considerations such as computational efficiency, scalability, and ease of integration will play a pivotal role in determining which alternatives are most viable for practical deployment. Additionally, practica

•Oct 12, 2024•0 citations
Quantum cloud computing is emerging as a popular model for users to experience the power of quantum computing through the internet, enabling quantum computing as a service. The question is, when the scale of the computational problems becomes out of reach of classical computers, how can users be sure that the output strings sent by the server are really from a quantum hardware? In 2008, Shepherd and Bremner proposed a cryptographic verification protocol based on a simplified circuit model called IQP (instantaneous quantum polynomial-time), which can potentially be applied to most existing quantum cloud platforms. However, the Shepherd-Bremner protocol has recently been shown to be insecure by Kahanamoku-Meyer. Here we present an extended model of IQP-based cryptographic verification protocol, where the Shepherd-Bremner construction can be regarded as a special case. This protocol not only can avoid the attack by Kahanamoku-Meyer but also provide several additional security measures for anti-forging quantum data. In particular, our protocol admits a simultaneous encoding of multiple secret strings, strengthening significantly the hardness for classical hacking. Furthermore, we provide methods for estimating the correlation functions associated with the secret strings, which are the key elements in our verification protocol.
Quantum cloud computing is emerging as a popular model for users to experience the power of quantum computing through the internet, enabling quantum computing as a service (QCaaS). The question is, when the scale of the computational problems becomes out of reach of classical computers, how can users be sure that the output strings sent by the server are really from a quantum hardware? In 2008, Shepherd and Bremner proposed a cryptographic verification protocol based on a simplified circuit model called IQP (instantaneous quantum polynomial-time), which can potentially be applied to most existing quantum cloud platforms. However, the Shepherd-Bremner protocol has recently been shown to be insecure by Kahanamoku-Meyer. Here we present a generalized model of cryptographic verification protocol, where the Shepherd-Bremner model can be regarded as a special case. This protocol not only can avoid the attack by Kahanamoku-Meyer but also provide several additional security measures for anti-forging quantum data. In particular, our protocol admits a simultaneous encoding of multiple secret strings, strengthening significantly the hardness for classical hacking. Furthermore, we provide methods for estimating the correlation functions associated with the secret strings, which are the key elements in our verification protocol.
The rise of cloud computing has transformed data storage and processing but introduced new vulnerabilities, especially with the impending threat of quantum computing. Traditional cryptographic methods, though currently effective, are at risk of being compromised by quantum attacks. This research aims to develop a quantum-resistant security framework for cloud environments, combining lattice-based cryptography with Quantum Key Distribution (QKD) protocols, particularly the E91 protocol, for secure key management. The framework also incorporates quantum authentication protocols to enhance user identity verification, protecting against unauthorized access and tampering. The proposed solution balances robust security with practical implementation, ensuring scalability and efficiency in real-world cloud environments. Performance evaluations indicate an encryption time of approximately 30 milliseconds, outperforming existing methods such as RSA and DES. This research contributes to the development of future-proof cryptographic standards, addressing both current security challenges and emerging quantum computing threats. By leveraging quantum mechanics, the framework strengthens cloud-based data protection, providing a resilient solution against evolving cyber risks. The results hold significant promise for advancing cloud security, laying the groundwork for next-generation encryption techniques that can withstand the threats posed by quantum computing.
The promise of scalable quantum technology appears more realistic, after recent advances in both theory and experiment. Assuming a quantum computer is developed, the task of verifying the correctness of its outcome becomes crucial. Unfortunately, for a system that involves many particles, predicting its evolution via classical simulation becomes intractable. Moreover, verification of the outcome by computational methods, i.e. involving a classical witness, is believed inefficient for the hardest problems solvable by a quantum computer. A feasible alternative to verify quantum computation is via cryptographic methods, where an untrusted prover has to convince a weak verifier for the correctness of his outcome. This is the approach we take in this thesis. In the most standard configuration the prover is capable of computing all polynomial-time quantum circuits and the verifier is restricted to classical with very modest quantum power. The goal of existing verification protocols is to reduce the quantum requirements for the verifier - ideally making it purely classical - and reduce the communication complexity. In Part II we propose a composition of two existing verification protocols [Fitzsimons and Kashefi, 2012], [Aharonov et al., 2010] that achieves quadratic improvement in communication complexity, while keeping the quantum requirements for the verifier modest. Along this result, several new techniques are proposed, including the generalization of [Fitzsimons and Kashefi, 2012] to prime dimensions. In Part III we discuss the idea of model-specific quantum verification, where the prover is restricted to intermediate quantum power, i.e. between full-fledged quantum and purely classical, thus more feasible experimentally. As a proof of principle we propose a verification protocol for the One-Pure-Qubit computer [Knill and Laflamme, 1998], which tolerates noise and is capable of computing hard problems such as large matrix trace estimation. The verification protocol is an adaptation of [Fitzsimons and Kashefi, 2012] running on Measurement-Based Quantum Computing with newly proved properties of the underlying resources. Connections of quantum verification to other security primitives are considered in Part IV. Authenticated quantum communication has been already proved to relate to quantum verification. We expand this by proposing a quantum authentication protocol derived from [Fitzsimons and Kashefi, 2012] and discuss implications to verification with purely classical verifier. Connections between quantum security primitives, namely blindness - prover does not learn the computation -, and classical security are considered in Part V. We introduce a protocol where a client with restricted classical resources computes blindly a universal classical gate with the help of an untrusted server, by adding modest quantum capabilities to both client and server. This example of quantum-enhanced classical security we prove to be a task classically impossible.
The exponential growth of cloud computing and hybrid enterprise IT infrastructures has significantly transformed how organizations store, process, and transmit data. As reliance on distributed systems deepens, ensuring the confidentiality, integrity, and availability of sensitive information has become a paramount concern especially in the face of emerging quantum computing capabilities. Quantum computers, once fully realized, will render many current public-key cryptographic systems such as RSA, ECC, and DH obsolete due to their vulnerability to quantum algorithms like Shor’s and Grover’s. This looming threat demands a paradigm shift toward quantum-resistant cryptographic protocols that can safeguard digital assets across dynamic and heterogeneous environments. This study presents a comprehensive analysis of quantum-resistant cryptographic schemes, focusing on lattice-based, hash-based, multivariate polynomial, and code-based approaches. These protocols are critically evaluated in terms of computational efficiency, scalability, resistance to side-channel attacks, and adaptability to multi-tenant cloud architectures. Special emphasis is placed on their integration into hybrid enterprise IT ecosystems, which often comprise on-premises servers, private clouds, and public cloud services each with unique security and compliance requirements. Additionally, the research proposes a layered security model that leverages post-quantum encryption for data-at-rest, hybrid key exchange mechanisms for secure data-in-transit, and secure bootstrapping protocols for cross-domain identity verification. Through simulations and policy analysis, this work demonstrates how quantum-resilient cryptography can be effectively deployed without compromising system performance or interoperability. Ultimately, the findings aim to guide enterprises, cloud providers, and cybersecurity professionals in building forward-compatible, future-proof data protection strategies.
As we know, cloud computing plays a vital role in our lives. It also plays a pivotal role in modern business and information technology landscapes. But with this, there is a rise in concerns regarding the security and privacy of all data which is stored in the cloud. To tackle these concerns some effective and traditional cryptographic methods are present but they face potential vulnerabilities due to advent of quantum computing. It also threatens the basis of widely used encryption algorithms and models. This research focuses on the usage of quantum mechanics inspired cryptographic protocols, which will help to strengthen the security of cloud computing models and infrastructures. The research begins with a detailed overview of the current situation and state of security of cloud computing. There is identification of all challenges and vulnerabilities faced due to current, classical and traditional cryptographic techniques and algorithms. As we know that there is a very close arrival of quantum computing, we are surrounded by mighty and latent threats because of quantum computing algorithms that can easily overcome the widely accepted and used encryption standards and models. So, there is a dire need to develop and implement some alternative cryptographic strategies and measures. To overcome these challenges, this research proposes the creation and usage of quantum-inspired cryptographic protocols which are designed to resist attacks from both traditional and quantum vulnerabilities. These protocols are inspired from quantum mechanics, like superposition and entanglement. These protocols will help to design and create cryptographic systems and models that offer enhanced security. The research focuses on the theoretical foundations of these quantum mechanics inspired protocols and assesses their practical feasibility within cloud computing infrastructures and environment.This research contains information regarding the challenges associated with integration and deployment of quantum inspired cryptographic solutions in cloud computing. It evaluates the scalability, efficiency, performance and computational overhead of these quantum inspired protocols to ensure their practical feasibility and capability in existing cloud computing environment and infrastructures. This research also includes comparison performed with quantum cryptographic protocols and traditional cryptographic methods. The results aim to provide evidence that quantum cryptographic techniques are better, feasible and secure options to protect data over cloud. In Conclusion, the research aims to provide an insight that development and usage of advanced security measures can withstand and handle evolving threats, ensuring the continued security and protection of data in cloud computing environment by providing theoretical insights, analysis and evolution.
Abstract As quantum computing matures, its ability to bypass traditional cryptographic standards such as RSA and ECC poses an existential threat to cloud security infrastructures. This paper provides a comprehensive assessment and comparison of emerging quantum-safe cryptographic protocols, including lattice-based, code-based, and multivariate cryptography, alongside physical-layer solutions like Quantum Key Distribution (QKD). We analyze the shift from classical security models to quantum-resistant frameworks, evaluating the trade-offs between computational efficiency, key management, and implementation scalability in multi-tenant cloud environments. Furthermore, we explore advanced protocols such as Quantum Secure Direct Communication, quantum coin tossing, and oblivious transfer, which offer novel methods for privacy-preserving computation. By addressing the current implementation challenges and the necessity for international standardization, this study outlines a strategic roadmap for integrating quantum-resilient mechanisms to ensure the long-term confidentiality and integrity of cloud-based data against both classical and quantum adversaries. Keywords: Quantum Computing, Post-Quantum Cryptography (PQC), Cloud Security 1.Introduction As quantum threats become more imminent, assessing and comparing quantum-based protocols is essential for strengthening cloud security frameworks. Potential quantum-enabled adversaries leveraging advanced computational capabilities to compromise sensitive information. Therefore, a thorough comparison of existing quantum-safe protocols, including lattice-based, code-based, and multivariate cryptography, is critical for determining the most effective strategies to secure cloud environments. potential quantum attacks by leveraging cryptographic methods that remain secure even in the presence of powerful quantum adversaries. 2.Quantum Computing Foundations Recent advancements in quantum computing have prompted researchers and organizations to reevaluate traditional cryptographic techniques within cloud security infrastructures. Cloud environments are particularly susceptible to attacks such as data breaches, insider threats, and man-in-the-middle intrusions due to their distributed and multi-tenant nature. As a result, integrating quantum-resistant algorithms and protocols is increasingly regarded as a necessary step to mitigate emerging vulnerabilities in cloud-based systems. This heightened vulnerability necessitates the exploration of robust quantum security protocols designed to mitigate risks unique to cloud-based systems. These protocols aim to safeguard data transmission and user authentication against adversaries equipped with quantum computing capabilities. Consequently, the development and adoption of quantum security measures is becoming an essential priority for maintaining the confidentiality and integrity of sensitive information in cloud environments. 3.Cloud Security Concepts and Vulnerabilities In addition to enhancing data confidentiality and authentication, these protocols also support advanced cryptographic operations such as oblivious transfer, paving the way for more secure and privacy-preserving cloud services. Furthermore, quantum security protocols facilitate new methods for secure computation and collaboration among distributed cloud users without exposing sensitive underlying data. As cloud services continue to evolve, integrating quantum security protocols is expected to become a foundational aspect of next-generation cloud infrastructure. 4.Overview of Quantum Security Protocols These advancements are particularly crucial as traditional cryptographic techniques face growing risks from quantum computing breakthroughs, necessitating proactive adaptation in cloud security frameworks. Quantum key distribution (QKD) is among the most prominent quantum security protocols, enabling the establishment of secure encryption keys between cloud entities using fundamental principles of quantum mechanics. This protocol ensures that any eavesdropping attempt can be detected due to the inherent properties of quantum measurements, thereby greatly enhancing cloud communication security. QKD has already seen early-stage experimental deployment in cloud environments, demonstrating potential for secure key exchange between data centers and distributed cloud nodes. As research progresses, QKD is being integrated with existing cloud infrastructure to explore scalable and efficient implementations that can accommodate the dynamic nature of cloud services. These integration efforts aim to address challenges such as network scalability, cost-efficiency, and interoperability with classical cryptographic systems. Additionally, ongoing studies focus on the seamless orchestration of QKD-enabled services with cloud management platforms to facilitate practical adoption. Furthermore, collaboration between academia and industry is accelerating the development of standardized QKD protocols and integration frameworks tailored for multi-tenant cloud environments. 5.Quantum Key Distribution in Cloud Environments Such standardization efforts are expected to promote widespread interoperability and lay the groundwork for commercially viable quantum-secured cloud services. These advancements contribute to a growing ecosystem where quantum-secured communication can become an integral part of mainstream cloud infrastructure. In parallel, research into Quantum Secure Direct Communication, quantum coin tossing, and other advanced quantum protocols is broadening the security landscape for cloud applications. Quantum Secure Direct Communication offers a method for transmitting confidential information directly over quantum channels without relying on shared encryption keys. This emerging technology is being explored for applications ranging from secure message delivery to safeguarding critical cloud operations against quantum attacks. As such, it holds promise for enabling real-time, tamper-resistant communication and may complement or even replace traditional secure key exchange mechanisms in certain cloud scenarios. Ongoing investigations also include quantum coin tossing and oblivious transfer, which aim to enable secure two-party computations and fair decision-making without trusting a single party. These protocols are progressively shaping the future of secure cloud services by addressing novel threats posed by quantum computing capabilities. 6.Quantum Secure Direct Communication This section delves deeper into the principles, implementation methods, and evolving use cases of quantum coin tossing and oblivious transfer within the context of quantum-secure cloud communication. Quantum coin tossing enables two remote parties to generate a random outcome in a way that neither can cheat or bias the result, even in the presence of advanced quantum adversaries. Oblivious transfer, on the other hand, allows a sender to transfer one of potentially many pieces of information to a receiver, where the sender remains oblivious to which piece was chosen, enhancing privacy in quantum-secure protocols. Together, these protocols form foundational building blocks for constructing more complex, privacy-preserving functionalities critical to secure quantum cloud environments. Their integration into cloud environments promises to strengthen the overall resilience of distributed computing architectures against both classical and quantum threats. As advances in quantum algorithms continue to threaten classical cryptographic schemes, there is growing urgency to explore and adopt post-quantum cryptography alternatives for securing cloud-based communications. These advances necessitate ongoing research and collaborative efforts to ensure robust, scalable, and future-proof security measures for cloud platforms in the quantum era. Adopting these novel protocols will require not only technological innovation but also the development of new standards, interoperability frameworks, and policy guidelines tailored to the evolving quantum landscape. Furthermore, educating stakeholders and fostering awareness about post-quantum security implications will play a crucial role in facilitating smooth adoption and compliance across industries. In addition, cross-disciplinary initiatives involving academia, industry, and government will be essential to accelerate the transition toward quantum-resilient cloud infrastructures. Such partnerships can drive the creation of shared testbeds, encourage best practices, and support continuous evaluation of emerging quantum security solutions. The synergy between these sectors is expected to enable more robust integration of quantum-safe mechanisms, ensuring that cloud services remain secure and adaptable as quantum technologies mature. 6.1.Quantum Coin Tossing and Oblivious Transfer Collaborative research efforts will also help identify gaps in current protocols and inspire innovative approaches to integrating quantum-resistant techniques within complex cloud environments. These collaborative initiatives will also facilitate the early adoption of post-quantum cryptographic alternatives, ensuring cloud infrastructures remain resilient against evolving threats. Furthermore, ongoing industry-academic-government collaborations will be crucial for standardizing post-quantum cryptography alternatives, promoting interoperability, and accelerating widespread deployment in the cloud. 7.Post-Quantum Cryptography Alternatives Such alternatives include lattice-based, hash-based, code-based, and multivariate schemes, each offering varying levels of security and implementation complexity suitable for diverse cloud applications. As cloud providers evaluate these schemes, considerations such as computational efficiency, scalability, and ease of integration will play a pivotal role in determining which alternatives are most viable for practical deployment. Additionally, practica