Title: Dynamic Topology Verification via Quantum State Tomography

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

Dynamic Topology Verification via Quantum State Tomography presents a novel approach to detecting subtle topological violations in complex systems. Conventional topological verification relies on analytical methods and often struggles with intricate, dynamic topologies. This paper introduces a quantum state tomography technique designed to reconstruct the underlying quantum state of a system and compare it against a known topological invariant. The core mechanism involves precise quantum measurements and sophisticated data analysis to identify deviations from expected behavior. This method offers a fundamentally new method for robust detection of subtle topological violations, potentially surpassing existing techniques in terms of accuracy and applicability. The paper details the design of the tomographic algorithm, its implementation using a specially constructed quantum system, and the resulting verification process. We demonstrate the efficacy of this technique through illustrative examples involving topological data analysis and provides a comprehensive analysis of its performance characteristics.

DOI: 10.5281/zenodo.22635349

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