Quantum Co-Bounded Volumetric Lattice-Fiber-Swarm Architecture for Distributed Quantum Systems A Unified Framework for Quantum Circuit Routing, Entanglement-Swarm Distribution, and Self-Correcting Computation on Bounded Quantum Lattices Synopsis This manuscript introduces a variational architecture for distributed quantum computation based on a bounded lattice substrate, a structured transport layer, and a dynamic coordination field governing state evolution across the system. The framework models distributed computation as the interaction of topological routing structure, internal state transport, and resource flow on a discretized computational volume governed by a unified action functional. Routing decisions, system adaptation, and equilibrium formation arise from gradient-flow dynamics operating under explicit admissibility constraints defined by the geometry of the computational lattice. Within this formulation, computation is interpreted as the evolution of coupled state variables defined over a lattice-based medium in which topology, internal state transport, and system coordination are treated as projections of a single mathematical object. The architecture synthesizes concepts from graph theory, distributed systems, swarm dynamics, and quantum information theory to describe how routing, entanglement transport, and resource distribution may emerge from a common variational structure. The model therefore focuses on the structural and geometric properties underlying distributed computation rather than on a specific algorithmic implementation. The framework is introduced as a theoretical architecture intended to explore the structural relationships between distributed computation, network geometry, and quantum state transport. The derivations are constructed from established literature and are organized through an explicit axiomatic dependency structure that defines the admissible configurations and dynamic behavior of the system. This work extends the previously introduced Co-Bounded Volumetric Lattice-Fiber-Swarm (CVLFS) architecture for Classical Distributed Systems, in which routing topology, numerical computation, and swarm-based resource coordination were unified through a co-bounded composite metric and a single variational action functional. The present manuscript generalizes that classical architecture into the quantum domain by reformulating the lattice-fiber-swarm structure using quantum state representations, quantum channels, and entanglement transport dynamics while preserving the original axiomatic escalation framework. Because the architecture attempts to bridge classical distributed computing structures with quantum information transport mechanisms, the work should be interpreted as an exploratory theoretical formulation. Certain elements of the model may contain gaps or incomplete derivations and may require further mathematical development, empirical validation, or refinement. The present publication also establishes a timestamped public record of the conceptual transition from the classical CVLFS architecture to its proposed quantum extension. Preparation of a complete and fully expanded treatise would require substantial additional development comparable to the several months required to prepare the classical manuscript; therefore this publication records the current stage of the theoretical transition and secures documented attribution of the logical framework. The work is distributed under a Creative Commons license requiring attribution and prohibiting commercial use, ensuring that any derivative modeling or commercial application must acknowledge the original source and licensing conditions.
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Lance Thomas Davidson
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Lance Thomas Davidson (Thu,) studied this question.
www.synapsesocial.com/papers/69e07dad2f7e8953b7cbea4a — DOI: https://doi.org/10.5281/zenodo.19578655