On a Heisenberg-Type Uncertainty Principle in von Neumann Algebras

Paolo Gibilisco () and Tommaso Isola
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Paolo Gibilisco: Dipartimento di Economia e Finanza, Università di Roma “Tor Vergata”, Via Columbia 2, 00133 Rome, Italy
Tommaso Isola: Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via Della Ricerca Scientifica, 00133 Rome, Italy

Mathematics, 2025, vol. 13, issue 22, 1-10

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.

Keywords: uncertainty principle; Wigner–Yanase–Dyson information; operator monotone functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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