What question did this study set out to answer?

The research aims to present a novel framework for understanding quantum decoherence using discrete methods.

April 30, 2026Open Access

Priority Record: Discrete Topological Decoherence and Norm Conservation in d₀-Graph Quantum Systems

Key Points

The research aims to present a novel framework for understanding quantum decoherence using discrete methods.
Introduced a discrete framework for quantum decoherence and error correction using the d0 topological graph model.
Established a proof-of-concept for algorithmic mapping of topological graph updates to quantum logic gates.
Documented the transition from classical continuous-time models to discrete decay processes.
Demonstrated that decoherence operates as a countable geometric process rather than a function of continuous time.
Established a new understanding of decoherence related to environmental entanglement through discrete methods.

Abstract

This deposit serves as a priority record and proof-of-concept for a novel, discrete framework of quantum decoherence and error correction based on the d0 topological graph model. It documents the fundamental departure from classical continuous-time decoherence models (e−t) toward a strictly discrete, structurally quantized decay process. The uploaded material establishes intellectual priority for the algorithmic mapping of topological graph updates (Pachner moves) to quantum logic gates, demonstrating that decoherence is not a function of continuous time, but a countable geometric process of environmental entanglement.

Priority Record: Discrete Topological Decoherence and Norm Conservation in d₀-Graph Quantum Systems

Key Points

Abstract

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