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Uncertainty Principle and Quantum Fisher Information

P. Gibilisco·T. Isola
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Abstract

We show that an inequality recently proved by Kosaki and Yanagi-Furuichi-Kuriyama [arXiv:quant-ph/0501152] has a natural geometric interpretation in terms of monotone metrics associated to Wigner-Yanase-Dyson information. Moreover we give a counterexample showing that the inequality does not hold for every monotone metric of this type.

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P. Gibilisco, T. Isola. 2006-02-10. Uncertainty Principle and Quantum Fisher Information. https://arxiv.org/abs/math-ph/0509046

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