Uncertainty principle for Wigner-Yanase-Dyson information in semifinite von Neumann algebras
classification
🧮 math-ph
math.MPmath.OA
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principleuncertaintyinformationneumannprovedsemifinitewigner-yanase-dysonalgebra
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Recently 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.
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