Uncertainty Principle and Quantum Fisher Information

Details Uncertainty Principle and Quantum Fisher Information Uncertainty Principle and Quantum Fisher Information

2005-09-21

arxiv.org/abs/math-ph/0509046v2

Physics

Mathematical Physics

12 pages (approx.). v2. Same as accepted version

Scientific paper

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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