On a Heisenberg-Type Uncertainty Principle in von Neumann Algebras

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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Journal
Mathematics
Published
2025-11-14
DOI
https://doi.org/10.3390/math13223651
Primary Topic
Quantum Information and Cryptography
Type
article
Field-Weighted Citation Impact
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article

On a Heisenberg-Type Uncertainty Principle in von Neumann Algebras

Tommaso Isola, Paolo Gibilisco
Mathematics
Quantum Information and Cryptography
article

On a Heisenberg-Type Uncertainty Principle in von Neumann Algebras

Tommaso Isola, Paolo Gibilisco
article en

Abstract

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.

MathematicsVol. 13(22)
University of Rome Tor Vergata (IT)
Openalex Percentile: Top 81%
Quantum Information and Cryptography
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