Uncertainty Principle and Quantum Fisher Information
Mathematical Physics
2011-11-10 v2 math.MP
Statistics Theory
Statistics Theory
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.
Cite
@article{arxiv.math-ph/0509046,
title = {Uncertainty Principle and Quantum Fisher Information},
author = {P. Gibilisco and T. Isola},
journal= {arXiv preprint arXiv:math-ph/0509046},
year = {2011}
}
Comments
12 pages (approx.). v2. Same as accepted version