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.
Gibilisco, P., Isola, T. (2025). On a Heisenberg-Type Uncertainty Principle in von Neumann Algebras. MATHEMATICS, 13(22) [10.3390/math13223651].
On a Heisenberg-Type Uncertainty Principle in von Neumann Algebras
Gibilisco, Paolo
;Isola, Tommaso
2025-01-01
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.File in questo prodotto:
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