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On a refinement of Heisenberg uncertainty relation by means of quantum Fisher information |
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| Authors: | P. Gibilisco T. Isola |
| Affiliation: | a Dipartimento SEFEMEQ, Facoltà di Economia, Università di Roma “Tor Vergata”, Via Columbia 2, 00133 Rome, Italy b Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133 Rome, Italy |
| Abstract: | We show that an uncertainty relation proved by Luo and Yanagi and related to Wigner-Yanase-Dyson information cannot hold for an arbitrary quantum Fisher information. We show that, by changing a costant, a similar trace inequality holds in full generality. |
| Keywords: | Heisenberg uncertainty relation Wigner-Yanase-Dyson information Operator monotone functions Quantum Fisher information |
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