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<p>We introduce a structural representation of quantum computation in which quantum information is represented by boundary-supported components of the density matrix, while classical information corresponds to interior-supported, diagonal structure. Within this framework, quantum errors are identified with processes that increase effective boundary complexity, and quantum error correction corresponds to active stabilization of boundary-supported structure mediated by classical control. The approach provides a consistent geometric interpretation of noise, stabilization, and the quantum–classical transition within the standard quantum-mechanical formalism.</p>

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Quantum computation as boundary stabilization in a mereotopological information model

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月25日

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  • Adam Szmigielski

摘要

We introduce a structural representation of quantum computation in which quantum information is represented by boundary-supported components of the density matrix, while classical information corresponds to interior-supported, diagonal structure. Within this framework, quantum errors are identified with processes that increase effective boundary complexity, and quantum error correction corresponds to active stabilization of boundary-supported structure mediated by classical control. The approach provides a consistent geometric interpretation of noise, stabilization, and the quantum–classical transition within the standard quantum-mechanical formalism.