In Ref. 9, Kosaki proved an uncertainty principle for matrices, related to Wigner-Yanase-Dyson information, and asked if a similar inequality could be proved in the von Neumann algebra setting. In this paper we prove such an uncertainty principle in the semifinite case.
Gibilisco, P., Isola, T. (2008). Uncertainty principle for Wigner Yanase Dyson information in semifinite von Neumann algebras. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 11(1), 127-133 [10.1142/S0219025708003026].
Uncertainty principle for Wigner Yanase Dyson information in semifinite von Neumann algebras
GIBILISCO, PAOLO;Isola, T.
2008-01-01
Abstract
In Ref. 9, Kosaki proved an uncertainty principle for matrices, related to Wigner-Yanase-Dyson information, and asked if a similar inequality could be proved in the von Neumann algebra setting. In this paper we prove such an uncertainty principle in the semifinite case.File in questo prodotto:
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