Quantum computation as boundary stabilization in a mereotopological information model

Abstract 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.

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Publication Details

Journal
Quantum Information Processing
Published
2026-06-25
DOI
https://doi.org/10.1007/s11128-026-05253-7
Primary Topic
Quantum Computing Algorithms and Architecture
Type
article
Field-Weighted Citation Impact
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article

Quantum computation as boundary stabilization in a mereotopological information model

Adam Szmigielski
Quantum Information Processing
Quantum Computing Algorithms and Architecture
article

Quantum computation as boundary stabilization in a mereotopological information model

Adam Szmigielski
article en

Abstract

Abstract 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.

Quantum Information ProcessingVol. 25(7)
Polish-Japanese Academy of Information Technology (PL)
Openalex Percentile: Top 4%
Quantum Computing Algorithms and Architecture
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Quantum computation as boundary stabilization in a mereotopological information model — Adam Szmigielski · Quantum Information Processing (2026) | TGRS Research Map | TGRS