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On the characterisation of paired monotone metrics |
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| Authors: | Paolo Gibilisco Tommaso Isola |
| Institution: | (1) Dipartimento di Scienze, Facoltà di Economia, Università di Chieti-Pescara “G. D’Annunzio”, Viale Pindaro 42, I-65127 Pescara, Italy;(2) Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, I-00133 Roma, Italy;(3) Present address: Centro Vito Volterra, Universita di Roma “Tor Vergata”, Via Columbia 2, I-00133 Rome, Italy |
| Abstract: | Hasegawa and Petz introduced the notion of paired monotone metrics. They also gave a characterisation theorem showing that Wigner-Yanase-Dyson metrics are the only members of the paired family. In this paper we show that the characterisation theorem holds true under hypotheses that are more general than those used in the above quoted references. |
| Keywords: | Monotone metrics Wigner-Yanase-Dyson information |
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