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Volume IX: Information Geometry of the Quantum Computing Competition -Manifolds, Curvature, and Strategic Divergence in the Second Quantum Revolution

Syed Muntasir Mamun

Published Jan 1, 2026• 0 citations
Publisher

Abstract

K SC This ninth volume in the series offers an information-geometric interpretation of the intensifying global competition in quantum computing. Building upon the technical foundations (Volumes I and V), ontological shifts (Volume II), governance frameworks (Volumes III, V, and VIII), multipolar trajectories (Volume V), Base-of-the-Pyramid survival imperatives (Volume VI), private equity dynamics (Volume VII), and the decisive call for a Quantum Sovereign Capability Coalition (Volume VIII), the analysis models the quantum information landscape as a high-dimensional Riemannian manifold. Different national strategies are interpreted as distinct geodesics and curvature profiles on this manifold. The paper argues that the United States, China, and other powers are not merely competing in hardware or algorithms but are actively shaping the very geometry of the quantum information space through their choices in error correction, hardware modalities, data ontologies, and governance architectures. For middle powers and the Global South, strategic survival requires the deliberate construction of alternative geodesics and the cultivation of regions of lower curvature where asymmetric inclusion and epistemic sovereignty can be preserved. Also available on Academia.edu: https://www.academia.edu/attachments/133209078/download_file?s=portfolio

DOI
10.5281/zenodo.22995576

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K SC This ninth volume in the series offers an information-geometric interpretation of the intensifying global competition in quantum computing. Building upon the technical foundations (Volumes I and V), ontological shifts (Volume II), governance frameworks (Volumes III, V, and VIII), multipolar trajectories (Volume V), Base-of-the-Pyramid survival imperatives (Volume VI), private equity dynamics (Volume VII), and the decisive call for a Quantum Sovereign Capability Coalition (Volume VIII), the analysis models the quantum information landscape as a high-dimensional Riemannian manifold. Different national strategies are interpreted as distinct geodesics and curvature profiles on this manifold. The paper argues that the United States, China, and other powers are not merely competing in hardware or algorithms but are actively shaping the very geometry of the quantum information space through their choices in error correction, hardware modalities, data ontologies, and governance architectures. For middle powers and the Global South, strategic survival requires the deliberate construction of alternative geodesics and the cultivation of regions of lower curvature where asymmetric inclusion and epistemic sovereignty can be preserved. Also available on Academia.edu: https://www.academia.edu/attachments/133209078/download_file?s=portfolio
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K SC The convergence of quantum computing and artificial intelligence represents one of the most consequential technological developments of the twenty-first century. This fourth volume examines the distinct yet interconnected trajectories of quantum-AI integration in three leading powers: the United States, China, and Germany. Through comparative analysis of national strategies, research ecosystems, industrial policy, and geopolitical positioning, the paper identifies three distinct models of convergence: the market-driven, defence-oriented model of the United States; the state-directed, civil-military fusion model of China; and the collaborative, standards-focused, and ethically oriented model of Germany within the European Union framework. These models are not merely technical choices but reflect deeper differences in political economy, epistemic cultures, and visions of global order. The analysis concludes with reflections on the implications of this tri-polar dynamic for smaller and middle powers, including the Global South, and outlines principles for more inclusive and stable quantum-AI governance. Also available on Academia.edu: https://www.academia.edu/attachments/133209089/download_file?s=portfolio
K SC The second quantum revolution is not only a scientific and technological transformation but also a profound governance challenge. As quantum technologies move from laboratory demonstrations to strategic assets, states and international institutions face urgent questions about security, sovereignty, standards, supply chains, and ethical deployment. This third volume in the series examines the emerging field of quantum governance through the lenses of international relations, science and technology studies, and digital sovereignty. It analyses the competitive dynamics between major powers, the risks of quantum-enabled disruption to existing security architectures, and the opportunities for more equitable global regimes. Particular attention is given to the position of the Global South and to the institutional innovations required to prevent a quantum divide that mirrors or deepens existing inequalities. The paper argues for a multi-layered governance architecture that combines arms-control-like mechanisms for quantum capabilities with proactive investment in inclusive quantum infrastructure and norms. Also available on Academia.edu: https://www.academia.edu/attachments/133209098/download_file?s=portfolio
This eighth volume in the KSCCN Series addresses the profound implications of quantum computing for sovereign AI systems. As quantum computers advance toward cryptographically relevant scale, they threaten to undermine the cryptographic foundations upon which current AI infrastructure, secure communications, and agentic systems depend. Simultaneously, quantum technologies offer new capabilities for machine learning, optimisation, and simulation that could enhance sovereign AI if harnessed appropriately. This volume provides a comprehensive analysis of the quantum transition for sovereign AI, examining post-quantum cryptography migration strategies, quantum-enhanced AI opportunities and risks, and the information-geometric extensions of quantum information theory to privacy and epistemic sovereignty. It analyses how quantum threats and opportunities intersect with the agentic systems examined in Volume VI and the implementation strategies developed in Volume VII. Special attention is given to Global South contexts, where the quantum transition presents both risks of renewed technological dependency and opportunities for strategic leapfrogging. The volume develops recommendations for quantum-resilient sovereign AI architectures that protect epistemic assets while enabling beneficial quantum-enhanced capabilities. Also available on Academia.edu: https://www.academia.edu/attachments/133307508/download_file?s=portfolio
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This ninth volume critically examines the dual-use potential and strategic weaponisation pathways emerging from the theoretical and technological advances developed across Volumes I–VIII of the KSCCN Research Perspectives Series. Concepts such as optical magnetic torque, first-quantized photon wave functions, exact pseudomode electrodynamics, information-geometric manifolds, Quantum Fisher Information, and thermodynamic induction possess profound civilian benefits in quantum metrology, high-dimensional quantum information processing, resilient sensing, and energy-efficient photonics. However, the same principles can be repurposed for directed-energy systems, cognitive and decision-space warfare, ultra-precise or undetectable sensors, and novel forms of material or biological disruption. This paper maps these dual-use trajectories, assesses geopolitical and proliferation risks, and proposes governance frameworks to mitigate catastrophic misuse while preserving scientific progress. The analysis underscores the urgent need for anticipatory ethics, arms-control mechanisms, and responsible innovation protocols in the rapidly converging fields of photonics, quantum technologies, and information geometry. Also available on Academia.edu: https://www.academia.edu/attachments/133123821/download_file?s=portfolio