This paper demonstrates generalizations of the Heisenberg uncertainty principle for von Neumann algebras, suggesting new insights into quantum information theory.
A refinement of the Heisenberg uncertainty principle has been proved by Luo using Wigner–Yanase information. Generalizations of this result have been proved by Yanagi and by other scholars for regular Quantum Fisher Information in the matrix case. In this paper, we prove these results in the von Neumann algebra setting.
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Gibilisco et al. (2025) studied this question.
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