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

CsPbBr3 Perovskite Nanocrystal-based Optical Physical Unclonable Functions for Post-Quantum Cryptography: Size Disorder Entropy Model, Dopant Engineering, and Security Analysis

Sergiy Skrebtsov, Gennady Khalimov, Volodymyr Oleksiyovych Chyshkala

Published Jul 9, 2026• 1 citation
Publisher

Abstract

We present the first theoretical study of CsPbBr3 perovskite nanocrystal (QD)-based optical Physical Unclonable Functions (PUFs) for post-quantum cryptographic applications. Unlike previous optical PUF platforms, CsPbBr3 PUFs exploit two independent entropy sources: (1) inherent size disorder of colloidal QD synthesis (dominant) and (2) ionic mismatch of B-site dopants (Mn2+, Yb3+, Bi3+) substituting Pb2+. We derive an analytical entropy model H(c,T)

DOI
10.5281/zenodo.21278530

Related papers

LiNbO3-based Optical Physical Unclonable Functions with Optimised Cryptographic Entropy via Rare-Earth Co-doping: Analytical Model, NIST SP 800-22 Compliance, BER Analysis, Long-term Stability, and Security Comparison

Sergiy Skrebtsov, Gennady Khalimov, Volodymyr Oleksiyovych Chyshkala

Abstract We address a fundamental problem in optical Physical Unclonable Function (PUF) design: the entropy-photorefraction trade-off in LiNbO3 single crystals, where MgO doping that suppresses photorefractive degradation simultaneously reduces cryptographic entropy by 20-25%. This problem has no solution in existing optical PUF literature. We propose rare-earth element (REE) co-doping as a decoupled solution: Er3+, Yb3+, Nd3+ ions substituting Li+ sites restore entropy via controlled ionic mismatch scattering without affecting photorefractive suppression. We derive an analytical entropy model H(c,T) calibrated against four experimental data points with zero residual error. Key calibrated result: 4 mol.% MgO + Er3+ + Yb3+ achieves H=95.8%, full NIST SP 800-22 compliance across −40 to +85°C, BER < 10−20, and >30 year projected lifetime. We report a previously unknown finding: standard 5 mol.% MgO fails NIST Uniqueness (D=44.08% < 45%). Direct comparison with four optical PUF platforms from literature shows our approach uniquely combines full temperature range, 20+ year lifetime, NIST compliance, and ML resistance. An experimental verification programme (42 compositions, criteria V1-V5) is outlined.

•Jul 28, 2026•0 citations

LiNbO3-based Optical PUFs for Post-Quantum Cryptographic Key Generation and Authentication: Dual Doping Pathways, Entropy Model, and Security Analysis

Sergiy Skrebtsov, Gennady Khalimov, Volodymyr Oleksiyovych Chyshkala

We extend the analytical entropy model of LiNbO3-based optical Physical Unclonable Functions (PUFs) in two directions. First, we introduce and compare two independent photorefractive suppression pathways: MgO doping (calibrated, four experimental points, zero residual error) and ZnO doping (new, partially calibrated via a real nonlinearity point at 4.6 mol.% ZnO). A critical

•Jul 7, 2026•1 citation

Advances in semiconductor quantum dot-based physical unclonable functions for enhanced security applications

Partha Mishra, Aditi Manna, Nirat Ray

Quantum dots (QDs) have garnered significant attention for their unique size-dependent optical and electronic properties, enabling their widespread use in applications ranging from high-efficiency photovoltaics and light-emitting diodes to biomedical imaging and quantum computing. Their tunable emission, high photo-stability, and ease of surface modification make them ideal candidates for precision nanotechnology applications. In this work, we explore a novel and rapidly emerging application of QDs in hardware security through the development of Quantum Dot-based Physical Unclonable Functions (QD-PUFs). Unlike conventional security paradigms, QD-PUFs leverage the intrinsic physical randomness of QD-based nanostructures to generate challenge-response pairs with superior uniqueness, reliability, and robustness. We review the integration of QDs into PUFs, beginning with their material properties and extending to entropy sources arising from synthesis and fabrication, surface and encapsulation effects. A comparative analysis of different readout mechanisms and related applications underscores the unique encoding capacity and security potential of QD-based systems. By demonstrating their feasibility for scalable, high-security applications, this study underscores the transformative impact of QDs in next-generation authentication and anti-counterfeiting technologies.

Nanoscale•Jan 1, 2025•8 citations

Nanoseed-based physically unclonable function for on-demand encryption

Junhyuk Ahn, Taesung Park, Taewoo Kang +5 more

A physically unclonable function (PUF) is a promising hardware-based cryptographic primitive to prevent confidential information leakage. However, conventional techniques, such as weak and strong PUFs, have limitations in overcoming the trade-off between security and storage volume. This study introduces nanoseed-based PUFs that overcome the drawbacks of conventional PUFs using optical and electrical randomness originated from nanoseeds and a unique on-demand cryptographic algorithm. Ideally mixed PbS quantum dots and Ag nanocrystals in the same medium are exploited as nanoseeds to simultaneously promote independent optical and electrical randomness. The number of secured keys that can be generated on-demand by combining the optical and electrical features in parallel using shuffling method is almost infinite (>10 58741 per square millimeter). The proposed PUF achieves a near-ideal Hamming distance in uniqueness and randomness tests, validating its cryptographic efficacy. Last, storage-free and on-demand PUF with the shuffling method are demonstrated using smartphones, realizing manufacturer-/user-friendly cryptography system.

Science Advances•Apr 25, 2025•27 citations

Photoluminescent-based Physical Unclonable Function for Optical Authentication and Anti-Counterfeiting

Wang, Yan

With the rapid expansion of digital communication and the Internet of Things (IoT), hardware-level security and anti-counterfeiting technologies have become increasingly important. Traditional cryptographic systems depend on mathematically generated keys, which are vulnerable to duplication and physical attacks. In contrast, Physical Unclonable Functions (PUFs) utilize inherent physical randomness to produce unique, unpredictable responses, offering a hardware root of trust for secure authentication. Among various PUF implementations, optical PUFs (O-PUFs) have attracted attention due to their high entropy density, non-contact readout, and immunity to electromagnetic interference. These systems exploit light–matter interactions, such as scattering, reflection, and emission to generate random optical fingerprints. In recent years, photoluminescent (PL) materials have emerged as promising candidates for constructing material-based optical PUFs. Their intrinsic emission randomness, strong optical signals, and tunable luminescence enable secure encoding without complex nanofabrication. Materials such as perovskite quantum dots and lanthanide-based metal–organic frameworks (MOFs) combine high photoluminescence efficiency, environmental stability, and low-cost processability, making them ideal for scalable optical authentication applications. This thesis explores the development and performance evaluation of photoluminescent based PUFs for optical security and anti-counterfeiting. Three types of luminescent materials, namely perovskite quantum dots, lanthanide-based MOFs, and intermolecular charge-transfer (CT) complexes are qualitatively analyzed as potential optical PUF platforms. A particular focus is placed on the statistical evaluation of Terbium-based MOFs (Tb-MOFs) and CT complexes. For Tb-MOFs, two entropy sources are examined: the spatial distribution of MOF microstructures and the randomness in PL intensity. Similarly, CT complexes are evaluated based on their disordered geometric topology. Standardized image processing, including optical imaging, grayscale conversion, and binarization, is employed to extract PUF features. Quantitative metrics such as uniqueness, reliability, and encoding capacity are analyzed. The results demonstrate that both Tb-MOF and CT-based systems achieve high encoding capacity and stable reproducibility within a sub-millimeter scale. This study validates the feasibility of luminescent materials as robust optical PUFs and provides a foundation for scalable, photostable, and intelligent optical authentication systems

•Jan 1, 2025•0 citations

Non-unitary Quantum Physical Unclonable Functions: Modelling, Simulation, and Evaluation under Open Quantum Dynamics

Mohammadreza Vali, Hossein Aghababa, Nasser Yazdani

Physical Unclonable Functions (PUFs) provide hardware-level security by exploiting intrinsic randomness to produce device-unique responses. However, machine learning and side-channel attacks increasingly undermine their classical assumptions, calling for new approaches to ensure unforgeability. Quantum mechanics naturally supports this goal through intrinsic randomness and the no-cloning theorem, motivating the study of Quantum Physical Unclonable Functions (QPUFs). Yet, existing QPUF models often assume ideal unitary dynamics, neglecting non-unitary effects such as decoherence and dissipation that arise in real quantum devices. This work introduces a new class of non-unitary QPUFs that leverage open quantum system dynamics as a foundation for security. Three architectures are proposed: the Dissipative QPUF (D-QPUF), which uses amplitude damping as an entropy source; the Measurement-Feedback QPUF (MF-QPUF), which employs mid-circuit measurements and conditional unitaries; and the Lindbladian QPUF (L-QPUF), which models Markovian noise via the Lindblad master equation and Trotter-Suzuki decomposition. Simulation results show that these non-unitary designs achieve strong uniqueness, uniformity, and unforgeability, with controllable reliability trade-offs from stochastic noise. The L-QPUF, in particular, exhibits exponential modeling resistance under limited challenge-response access. By reframing environmental noise as a constructive resource, this work establishes a framework for noise-aware quantum hardware authentication and highlights non-unitary evolution as a viable foundation for post-quantum security.

quant-pharXiv:2511.01514•Nov 4, 2025•0 citations
We present the first theoretical study of CsPbBr3 perovskite nanocrystal (QD)-based optical Physical Unclonable Functions (PUFs) for post-quantum cryptographic applications. Unlike previous optical PUF platforms, CsPbBr3 PUFs exploit two independent entropy sources: (1) inherent size disorder of colloidal QD synthesis (dominant) and (2) ionic mismatch of B-site dopants (Mn2+, Yb3+, Bi3+) substituting Pb2+. We derive an analytical entropy model H(c,T)
Abstract We address a fundamental problem in optical Physical Unclonable Function (PUF) design: the entropy-photorefraction trade-off in LiNbO3 single crystals, where MgO doping that suppresses photorefractive degradation simultaneously reduces cryptographic entropy by 20-25%. This problem has no solution in existing optical PUF literature. We propose rare-earth element (REE) co-doping as a decoupled solution: Er3+, Yb3+, Nd3+ ions substituting Li+ sites restore entropy via controlled ionic mismatch scattering without affecting photorefractive suppression. We derive an analytical entropy model H(c,T) calibrated against four experimental data points with zero residual error. Key calibrated result: 4 mol.% MgO + Er3+ + Yb3+ achieves H=95.8%, full NIST SP 800-22 compliance across −40 to +85°C, BER < 10−20, and >30 year projected lifetime. We report a previously unknown finding: standard 5 mol.% MgO fails NIST Uniqueness (D=44.08% < 45%). Direct comparison with four optical PUF platforms from literature shows our approach uniquely combines full temperature range, 20+ year lifetime, NIST compliance, and ML resistance. An experimental verification programme (42 compositions, criteria V1-V5) is outlined.
Quantum dots (QDs) have garnered significant attention for their unique size-dependent optical and electronic properties, enabling their widespread use in applications ranging from high-efficiency photovoltaics and light-emitting diodes to biomedical imaging and quantum computing. Their tunable emission, high photo-stability, and ease of surface modification make them ideal candidates for precision nanotechnology applications. In this work, we explore a novel and rapidly emerging application of QDs in hardware security through the development of Quantum Dot-based Physical Unclonable Functions (QD-PUFs). Unlike conventional security paradigms, QD-PUFs leverage the intrinsic physical randomness of QD-based nanostructures to generate challenge-response pairs with superior uniqueness, reliability, and robustness. We review the integration of QDs into PUFs, beginning with their material properties and extending to entropy sources arising from synthesis and fabrication, surface and encapsulation effects. A comparative analysis of different readout mechanisms and related applications underscores the unique encoding capacity and security potential of QD-based systems. By demonstrating their feasibility for scalable, high-security applications, this study underscores the transformative impact of QDs in next-generation authentication and anti-counterfeiting technologies.
A physically unclonable function (PUF) is a promising hardware-based cryptographic primitive to prevent confidential information leakage. However, conventional techniques, such as weak and strong PUFs, have limitations in overcoming the trade-off between security and storage volume. This study introduces nanoseed-based PUFs that overcome the drawbacks of conventional PUFs using optical and electrical randomness originated from nanoseeds and a unique on-demand cryptographic algorithm. Ideally mixed PbS quantum dots and Ag nanocrystals in the same medium are exploited as nanoseeds to simultaneously promote independent optical and electrical randomness. The number of secured keys that can be generated on-demand by combining the optical and electrical features in parallel using shuffling method is almost infinite (>10 58741 per square millimeter). The proposed PUF achieves a near-ideal Hamming distance in uniqueness and randomness tests, validating its cryptographic efficacy. Last, storage-free and on-demand PUF with the shuffling method are demonstrated using smartphones, realizing manufacturer-/user-friendly cryptography system.
With the rapid expansion of digital communication and the Internet of Things (IoT), hardware-level security and anti-counterfeiting technologies have become increasingly important. Traditional cryptographic systems depend on mathematically generated keys, which are vulnerable to duplication and physical attacks. In contrast, Physical Unclonable Functions (PUFs) utilize inherent physical randomness to produce unique, unpredictable responses, offering a hardware root of trust for secure authentication. Among various PUF implementations, optical PUFs (O-PUFs) have attracted attention due to their high entropy density, non-contact readout, and immunity to electromagnetic interference. These systems exploit light–matter interactions, such as scattering, reflection, and emission to generate random optical fingerprints. In recent years, photoluminescent (PL) materials have emerged as promising candidates for constructing material-based optical PUFs. Their intrinsic emission randomness, strong optical signals, and tunable luminescence enable secure encoding without complex nanofabrication. Materials such as perovskite quantum dots and lanthanide-based metal–organic frameworks (MOFs) combine high photoluminescence efficiency, environmental stability, and low-cost processability, making them ideal for scalable optical authentication applications. This thesis explores the development and performance evaluation of photoluminescent based PUFs for optical security and anti-counterfeiting. Three types of luminescent materials, namely perovskite quantum dots, lanthanide-based MOFs, and intermolecular charge-transfer (CT) complexes are qualitatively analyzed as potential optical PUF platforms. A particular focus is placed on the statistical evaluation of Terbium-based MOFs (Tb-MOFs) and CT complexes. For Tb-MOFs, two entropy sources are examined: the spatial distribution of MOF microstructures and the randomness in PL intensity. Similarly, CT complexes are evaluated based on their disordered geometric topology. Standardized image processing, including optical imaging, grayscale conversion, and binarization, is employed to extract PUF features. Quantitative metrics such as uniqueness, reliability, and encoding capacity are analyzed. The results demonstrate that both Tb-MOF and CT-based systems achieve high encoding capacity and stable reproducibility within a sub-millimeter scale. This study validates the feasibility of luminescent materials as robust optical PUFs and provides a foundation for scalable, photostable, and intelligent optical authentication systems
Physical Unclonable Functions (PUFs) provide hardware-level security by exploiting intrinsic randomness to produce device-unique responses. However, machine learning and side-channel attacks increasingly undermine their classical assumptions, calling for new approaches to ensure unforgeability. Quantum mechanics naturally supports this goal through intrinsic randomness and the no-cloning theorem, motivating the study of Quantum Physical Unclonable Functions (QPUFs). Yet, existing QPUF models often assume ideal unitary dynamics, neglecting non-unitary effects such as decoherence and dissipation that arise in real quantum devices. This work introduces a new class of non-unitary QPUFs that leverage open quantum system dynamics as a foundation for security. Three architectures are proposed: the Dissipative QPUF (D-QPUF), which uses amplitude damping as an entropy source; the Measurement-Feedback QPUF (MF-QPUF), which employs mid-circuit measurements and conditional unitaries; and the Lindbladian QPUF (L-QPUF), which models Markovian noise via the Lindblad master equation and Trotter-Suzuki decomposition. Simulation results show that these non-unitary designs achieve strong uniqueness, uniformity, and unforgeability, with controllable reliability trade-offs from stochastic noise. The L-QPUF, in particular, exhibits exponential modeling resistance under limited challenge-response access. By reframing environmental noise as a constructive resource, this work establishes a framework for noise-aware quantum hardware authentication and highlights non-unitary evolution as a viable foundation for post-quantum security.