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IEEE Information Theory Workshop (ITW)

Secret key generation and Storage based on QPUF

Kumar Nilesh, Christian Deppe, Holger Boche

Published Sep 29, 2025• 7 citations
Publisher

Abstract

Physically Unclonable Functions (PUFs) have emerged as critical primitives for secure authentication and key generation. However, classical PUFs are increasingly vulnerable to machine learning and quantum-enabled attacks. Quantum PUFs, leveraging the principles of quantum mechanics, provide a promising alternative offering information-theoretic security. In this work, we present an information-theoretic framework for two key applications of QPUFs: secret key generation and secure data storage. We rigorously characterize the trade-offs between achievable key and storage rates under various privacy leakage constraints—unconditional, conditional, and zero-leakage—extending classical results into the quantum domain. We derive single-letter capacity expressions based on Holevo information and analyze the impact of shared private randomness on achieving zero privacy leakage. Our results establish fundamental performance limits for QPUF-based security systems and lay the foundation for cryptographic key generation and storage protocols in future quantum-resilient communication infrastructures.

DOI
10.1109/itw62417.2025.11240507

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This work introduces a Quantum PUF (QPUF)-based approach to enhance cryptographic key generation and secure storage. An information-theoretic model is developed to analyze trade-offs between key generation, secure storage, and privacy leakage under unconditional and conditional secrecy constraints. Additionally, the use of shared private keys is explored to achieve zero privacy leakage. The results extend classical and classical-quantum findings to the fully quantum regime, to provide a pathway toward robust authentication and data security and offering a foundation for next-generation hardware security.
An information-theoretic analysis of secure authentication based on Quantum Physically Unclonable Functions (QPUF) is presented in this paper. The proposed model employs a secret key generated through QPUF to authenticate pre-enrolled user and device identities while maintaining secrecy and limiting privacy leakage. We analyze the system's robustness against an active adversary who exploits publicly available data to impersonate legitimate users with fraudulent inputs. Our analysis focuses on characterizing the capacity region of the adversary's false acceptance exponent alongside the privacy leakage under reliability conditions. We further demonstrate that the achievable capacity region in the quantum domain surpasses that of classical systems. Additionally, we derive an optimal trade-off among the false acceptance exponent, public storage rate, and privacy leakage rate, offering key insights into the system's asymptotic performance.
Physical Unclonable Functions (PUFs) have garnered significant attention for their potential in enhancing the security of IoT devices, offering an alternative to traditional computational-based approaches. Despite their potential, classical PUFs suffer from critical drawbacks, including vulnerability to machine learning attacks and inadequate defense against quantum adversaries. To address these limitations, alternative architectures utilizing quantum mechanical principles, known as Quantum PUFs (QPUFs), have been proposed. This paper presents a comprehensive survey of the diverse range of QPUFs, detailing their architectures and security features. Additionally, it explores the information-theoretic applications of QPUFs in IoT, including secret key generation, secure storage, authentication, and identification. The findings indicate that classical results translate effectively to the quantum domain in most cases, with QPUFs exhibiting larger capacity regions compared to their classical counterparts.
Physical Unclonable Functions (PUFs) have emerged as a powerful cryptographic tool for various applications due to their inherent physical uniqueness and unclonability. However, the advent of quantum computers has posed significant threats to classical PUFs. In response, Quantum PUFs (QPUFs), which exploit the principles of quantum mechanics, have been introduced as a robust alternative. This paper analyzes two key applications of QPUFs utilizing their distinctive output: secure storage and identification, from an information theoretic perspective. We establish achievability under different constraints and derive the secure storage capacity and a doubly exponential identification rate, even in the presence of an active adversary attempting to deceive the system by exploiting publicly stored data. We further demonstrate that within the quantum domain, we achieve higher rates compared to classical counterparts.
An information-theoretic model is presented for a general quantum physically unclonable function (QPUF) that generates a bipartite classical-quantum output. We first define achievable secret key rate versus privacy leakage rate pairs featuring perfect secrecy and uniform distribution of the secret key. To analyze the secret key generation from this QPUF model, we focus on two cases: first, without any constraints on the storage of public information, i.e., the helper data, and second, with rate constraints on it. This, in turn, provides a solution for the case of privacy leakage constraint. We calculate the maximum secret key that a QPUF can generate and derive the capacity region corresponding to this definition of achievability.
We present an information-theoretic framework for secure storage and message identification utilizing fully quantum physically unclonable functions (QPUFs). Extending prior models rooted in classical and hybrid classical-quantum PUFs, we propose a fully quantum setting that enables robust identification protocols in the presence of a powerful quantum wiretapper holding correlated side information. We derive achievable second-order identification rates under stringent privacy leakage constraints and show that secure identification is feasible whenever a positive secret key rate can be extracted from the QPUF output—establishing a quantum analogue of the classical dichotomy theorem. Furthermore, we demonstrate that augmenting the system with an auxiliary public quantum source enhances identification capacity without increasing privacy leakage. Our results provide a rigorous theoretical foundation for quantum-secure identification and storage, with implications for next-generation communication systems and adversarial environments requiring low-latency, energy-efficient quantum-secure storage protocols.