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Q-PLPI Rotation Consistency Theory: A Quantitative Framework for Cyber Attack Resistance in Rotation-Based Quantum Computing

Taku Tanaka, Keiko Tanaka, Toshitaka Uneoka, Akemi Takahashi, Tomoaki Tanaka, Shingo Konishi, Reika Hosomi, Seito Tanaka

Published Dec 15, 2025• 0 citations
Publisher

Abstract

As quantum computers transition from theoretical constructs to operational cloud-accessible systems, understanding their cybersecurity vulnerabilities becomes increasingly important. This paper presents the Q-PLPI (Quantum Physical-Layer Partitioned Inference) Rotation Consistency Theory, a theoretical framework that provides quantitative bounds on cyber attack resistance for rotation-based quantum computing implementations. We formalize quantum gate operations as rotations on the Bloch sphere and establish two security properties: the Rotation Integrity Guarantee, bounding computational deviation under undetected attacks, and the Side-Channel Advantage Upper Bound, limiting information leakage. The term Rotation Consistency refers to the framework's guarantee that rotation operations remain consistent with design specifications within quantifiable tolerances. Our framework introduces design parameters ε (rotation error tolerance, defined as operator norm upper bound) and µ (mutual information leakage bound) as specification targets. For superconducting transmon platforms, we derive illustrative parameter values: |δθ| ≤ 0.02 rad and I(C, s; Z) ≤ 0.003 bits, corresponding to ≤ 1% output bias and ≤ 5% identification advantage respectively. The numerical instantiation presented herein represents a design example based on published hardware specifications; experimental validation on specific platforms remains future work.

DOI
10.36227/techrxiv.176581841.14719833/v1

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As quantum computers transition from theoretical constructs to operational cloud-accessible systems, understanding their cybersecurity vulnerabilities becomes increasingly important. This paper presents the Q-PLPI (Quantum Physical-Layer Partitioned Inference) Rotation Consistency Theory, a theoretical framework that provides quantitative bounds on cyber attack resistance for rotation-based quantum computing implementations. We formalize quantum gate operations as rotations on the Bloch sphere and establish two security properties: the Rotation Integrity Guarantee, bounding computational deviation under undetected attacks, and the Side-Channel Advantage Upper Bound, limiting information leakage. The term Rotation Consistency refers to the framework's guarantee that rotation operations remain consistent with design specifications within quantifiable tolerances. Our framework introduces design parameters ε (rotation error tolerance, defined as operator norm upper bound) and µ (mutual information leakage bound) as specification targets. For superconducting transmon platforms, we derive illustrative parameter values: |δθ| ≤ 0.02 rad and I(C, s; Z) ≤ 0.003 bits, corresponding to ≤ 1% output bias and ≤ 5% identification advantage respectively. The numerical instantiation presented herein represents a design example based on published hardware specifications; experimental validation on specific platforms remains future work.
We present the Dynamic Bloch-Lock Consistency Theory (DB-LCT), a novel framework that extends quantum computing security principles to Magnetic Resonance Imaging (MRI) systems. The theoretical foundation exploits a fundamental insight: both quantum bits (qubits) in quantum computers and nuclear spins (protons) in MRI systems obey identical Bloch equations describing rotation dynamics on the Bloch sphere. By adapting the Q-PLPI (Quantum Physical-Layer Partitioned Inference) Rotation Consistency framework, we establish three key capabilities for next-generation MRI: (1) Active Trajectory Feedback enabling real-time pulse correction with rotation error bounds ∥ ⃗ M final − ⃗ M ideal ∥ → 0, achieving theoretical-limit contrast purity and signal uniformity beyond conventional calibration; (2) Physical Integrity Verification providing mathematically guaranteed cyber attack detection with probability Pr(detect) ≥ 1 − β N , rendering adversarial image manipulation attacks infeasible; and (3) Acoustic Side-Channel Masking limiting information leakage to Adv A ≤ 1.18 √ µ, protecting patient privacy from gradient coil acoustic analysis. We derive MRI-optimized design parameters (ε MRI = 0.005 rad, µ = 0.003 bits, β = 0.01) and demonstrate that DB-LCT-equipped MRI systems can provide cryptographic-grade "certificates of physical correctness" for each acquired image, fundamentally transforming medical imaging security and quality assurance.
As quantum computing advances toward largescale deployment, ensuring system-wide security across multiple abstraction layers becomes critical. This work presents Q-PLPI Hierarchical Quantum Security (Q-PLPI-HQS) as a theoretical hypothesis integrating information flow control, physical-layer integrity monitoring, and composable security. We formalize quantum noninterference with label structures and propose Quantum Physical-Layer Resilience/Integrity (Q-PLRI) as a concrete physical-layer monitoring mechanism using entangled Bell states as quantum seals. To validate this hypothesis, we develop a comprehensive threephase approach: (1) Theoretical formulation establishing the Q-PLPI-HQS framework with labeled Hilbert spaces and compliant operations, (2) Scilab numerical simulation demonstrating Integrity Loss (IL) metric behavior under baseline and attack scenarios with statistical analysis showing separation between normal operation (µB ≈ 0.10) and adversarial tampering (µA ≈ 0.29), and (3) IBM Quantum experimental validation plan detailing protocols for executing Bell-state measurements on 127-qubit superconducting processors with 4,096 shots across 100 independent campaigns. Simulation results confirm the theoretical prediction that three-sigma threshold detection (θanomaly = µB + 3σB) can distinguish attacks from natural noise with very low false positive rates. The proposed IBM Quantum experimental protocol aims to verify these predictions on actual quantum hardware, establishing physical-layer tamper monitoring as a unifying security primitive spanning classical and quantum platforms.
The emergence of quantum computing represents one of the most significant paradigm shifts in the history of computation, with profound implications for offensive security and cyber warfare. This comprehensive research paper presents a systematic analysis of quantum-enabled offensive capabilities, novel attack vectors targeting quantum systems themselves, and the evolving threat landscape at the intersection of quantum computing and artificial intelligence. We introduce the Q-THREAT Framework, a novel temporal risk assessment model that quantifies the "Harvest Now, Decrypt Later" threat across different data confidentiality lifetimes and sectoral exposures. This research synthesizes and categorizes recently documented attack vectors including quantum Rowhammer exploits, timing-based side-channel vulnerabilities in cloud quantum services, and multi-tenant quantum system intrusions. Recent research demonstrates that current quantum cloud platforms from major providers including IBM, Rigetti, and others exhibit significant security vulnerabilities that could be exploited by adversaries to compromise computational integrity, extract sensitive circuit information, and disrupt quantum computations. Furthermore, we analyze the convergence of quantum computing and artificial intelligence as a force multiplier for offensive cyber operations. We present evidence that quantum machine learning algorithms can demonstrate competitive or superior performance in certain cybersecurity applications compared to classical approaches in controlled experimental settings, with recent studies reporting high accuracies in tasks such as malware detection and intrusion detection on benchmark datasets. Our analysis of nation-state quantum programs reveals an accelerating global quantum arms race with significant implications for national security. Based on our findings, we propose a comprehensive defensive framework incorporating post-quantum cryptographic standards, crypto-agility principles, and quantum-safe architectural patterns. This research contributes to the nascent field of quantum cybersecurity by establishing foundational threat models, identifying critical research gaps, and providing actionable recommendations for organizations preparing for the quantum era.
The looming threat of large-scale quantum computers necessitates a paradigm shift in cryptographic design, giving rise to the field of Post-Quantum Cryptography (PQC). While the computational hardness assumptions underpinning PQC schemes are well-studied, their fundamental security limits from an information-theoretic perspective remain an area requiring deeper exploration. This paper introduces and systematically investigates the concept of "entropic resilience," defined as the inherent ability of a cryptographic system to maintain its security guarantees even under an adversary possessing unbounded computational power, provided only limited information about the secret components is revealed. We present a comprehensive framework for analyzing the information-theoretic security of prominent PQC families, including lattice-based, code-based, and hash-based schemes. Our methodology leverages various entropy measures, such as min-entropy and conditional entropy, to quantify the information leakage and the irreducible uncertainty preserved in cryptographic secrets. We derive theoretical bounds on the information-theoretic security for representative PQC constructions and discuss the implications of these bounds for parameter selection, key generation, and resistance against information-theoretic attacks and side channels. The findings highlight critical trade-offs between entropy requirements, efficiency, and the achievable level of provable security in a post-quantum world. Ultimately, this work provides a foundational understanding of the ultimate security boundaries for PQC, guiding the design of more robust and provably secure schemes against both classical and quantum adversaries.
As the digital landscape evolves, the reliance on cloud computing for critical infrastructure across various sectors highlights the need for robust security mechanisms to protect sensitive data from emerging cyber threats, particularly those posed by quantum computing. Traditional cryptographic systems, while currently effective, are vulnerable to quantum attacks, necessitating the development of quantum-resistant solutions. This research introduces the Quantum-Resilient Cryptographic Framework (QRCF), a hybrid, adaptive cryptographic framework designed to safeguard cloud environments against both classical and quantum threats. The QRCF integrates lattice-based Kyber and code-based McEliece algorithms, offering a comprehensive and scalable solution for secure data storage, management, and transmission. Key contributions include the development of a dynamic security management layer that adapts to real-time threat analysis, ensuring continuous protection against evolving threats, and the implementation of robust post-quantum cryptographic methods that maintain high performance and low computational overhead. Quantitative analysis shows that the QRCF maintains a high throughput of 420 MB/s for encryption and 400 MB/s for decryption under normal operations, with latency as low as 3.2 ms and 3.6 ms, respectively. The framework exhibited strong resistance to various attack models, with success rates of 1.0% for brute-force attacks, 1.875% for MITM attacks, 0.833% for side-channel attacks, and 1.6% for replay attacks. Against quantum threats, the QRCF showed no vulnerability to Shor’s Algorithm and a minimal success rate of 0.667% for Grover’s Algorithm. The framework’s design ensures seamless integration with existing cloud infrastructures, providing practical migration strategies to quantum-safe cryptography without disrupting operational workflows. By addressing key research gaps in quantum-safe cloud security, this study contributes significantly to the field, offering a robust, scalable, and efficient cryptographic solution that enhances the security and operational performance of cloud environments in the face of advancing quantum computational capabilities.
Cloud computing has become the foundation of modern digital services, supporting applications in healthcare, finance, education, manufacturing, and government sectors. Despite its numerous advantages, cloud computing faces increasing cybersecurity threats due to rapid technological advancements and the anticipated emergence of quantum computing. Traditional public-key cryptographic algorithms, including RSA and Elliptic Curve Cryptography (ECC), may become vulnerable to quantum attacks. Consequently, researchers are actively investigating post-quantum cryptography (PQC) to develop secure encryption techniques capable of resisting quantum-based attacks. This paper reviews quantum-resistant cryptographic frameworks for cloud computing, discusses leading post-quantum algorithms, implementation strategies, security challenges, performance considerations, practical applications, and future research directions. The study concludes that integrating quantum-resistant algorithms into cloud infrastructures will play a vital role in ensuring long-term cybersecurity.