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Geometric stability of expectation regions under Aluthge-type quantum channels
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DOI：10.1016/j.aop.2026.170624.png)
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Abstract
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In quantum theory the quantum expectation region of an observable describes the set of attainable measurement statistics over all pure states. We study how these regions and their maximal expectation values evolve under Aluthge-type quantum channels acting on bounded operators and commuting pairs of operators. These quantum channels generate nonlinear operator flows that regularize non-normal operators while preserving essential measurement information. These results provide a geometric setting for understanding the stability of measurement statistics of compatible quantum operators under structured quantum channels.
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