Hiai, Fumio; Mosonyi, Milán Quantum Rényi divergences and the strong converse exponent of state discrimination in operator algebras. (English) Zbl 1522.81042 Ann. Henri Poincaré 24, No. 5, 1681-1724 (2023). MSC: 81P45 81P18 94A17 46L52 46L53 81R15 62H15 PDFBibTeX XMLCite \textit{F. Hiai} and \textit{M. Mosonyi}, Ann. Henri Poincaré 24, No. 5, 1681--1724 (2023; Zbl 1522.81042) Full Text: DOI arXiv
Hiai, Fumio; Mosonyi, Milán; Petz, Dénes; Bény, Cédric Erratum to: “Quantum \(f\)-divergences and error correction”. (English) Zbl 1447.81025 Rev. Math. Phys. 29, No. 7, Article ID 1792001, 2 p. (2017). MSC: 81P16 81P50 94A17 62F03 PDFBibTeX XMLCite \textit{F. Hiai} et al., Rev. Math. Phys. 29, No. 7, Article ID 1792001, 2 p. (2017; Zbl 1447.81025) Full Text: DOI
Hiai, Fumio; Mosonyi, Milán; Petz, Dénes; Bény, Cédric Quantum \(f\)-divergences and error correction. (English) Zbl 1230.81007 Rev. Math. Phys. 23, No. 7, 691-747 (2011); erratum ibid. 29, No. 7, Article ID 1792001, 2 p. (2017). MSC: 81P16 81P50 94A17 62F03 PDFBibTeX XMLCite \textit{F. Hiai} et al., Rev. Math. Phys. 23, No. 7, 691--747 (2011; Zbl 1230.81007) Full Text: DOI arXiv
Hiai, Fumio; Miyamoto, Takuho A new approach to mutual information. II. (English) Zbl 1524.94052 Bożejko, Marek (ed.) et al., Noncommutative harmonic analysis with applications to probability. II: Papers presented at the 11th workshop, Bȩdlewo, Poland, August 17–23, 2008. Warszawa: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 89, 143-163 (2010). MSC: 94A17 62B10 PDFBibTeX XMLCite \textit{F. Hiai} and \textit{T. Miyamoto}, Banach Cent. Publ. 89, 143--163 (2010; Zbl 1524.94052) Full Text: DOI arXiv
Hiai, Fumio; Petz, Dénes Riemannian metrics on positive definite matrices related to means. (English) Zbl 1163.53011 Linear Algebra Appl. 430, No. 11-12, 3105-3130 (2009). MSC: 53B21 15A45 15B48 53C22 62A01 PDFBibTeX XMLCite \textit{F. Hiai} and \textit{D. Petz}, Linear Algebra Appl. 430, No. 11--12, 3105--3130 (2009; Zbl 1163.53011) Full Text: DOI arXiv
Mosonyi, Milán; Hiai, Fumio; Ogawa, Tomohiro; Fannes, Mark Asymptotic distinguishability measures for shift-invariant quasifree states of fermionic lattice systems. (English) Zbl 1152.81567 J. Math. Phys. 49, No. 7, 072104, 11 p. (2008). MSC: 81P15 81S05 82B20 60B11 60F10 62G10 PDFBibTeX XMLCite \textit{M. Mosonyi} et al., J. Math. Phys. 49, No. 7, 072104, 11 p. (2008; Zbl 1152.81567) Full Text: DOI arXiv
Hiai, Fumio; Mosonyi, Milán; Ogawa, Tomohiro Error exponents in hypothesis testing for correlated states on a spin chain. (English) Zbl 1153.81376 J. Math. Phys. 49, No. 3, 032112, 22 p. (2008). MSC: 81P50 81S25 62F03 PDFBibTeX XMLCite \textit{F. Hiai} et al., J. Math. Phys. 49, No. 3, 032112, 22 p. (2008; Zbl 1153.81376) Full Text: DOI arXiv
Hiai, Fumio; Petz, Dénes A new approach to mutual information. (English) Zbl 1350.94021 Bozejko, Marek (ed.) et al., Noncommutative harmonic analysis with applications to probability. Papers presented at the 9th workshop, Bȩdlewo, Poland, September 29–October 10, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 78, 151-164 (2008). MSC: 94A17 62B10 PDFBibTeX XMLCite \textit{F. Hiai} and \textit{D. Petz}, Banach Cent. Publ. 78, 151--164 (2008; Zbl 1350.94021) Full Text: arXiv
Hiai, Fumio; Petz, Dénes Asymptotic freeness almost everywhere for random matrices. (English) Zbl 0973.15016 Acta Sci. Math. 66, No. 3-4, 809-834 (2000). Reviewer: Silvia Curteanu (Iasi) MSC: 15B52 62E20 60F99 PDFBibTeX XMLCite \textit{F. Hiai} and \textit{D. Petz}, Acta Sci. Math. 66, No. 3--4, 809--834 (2000; Zbl 0973.15016)
Hiai, Fumio; Ohya, Masanori; Tsukada, Makoto Sufficiency and relative entropy in *-algebras with applications in quantum systems. (English) Zbl 0524.46044 Pac. J. Math. 107, 117-140 (1983). MSC: 46L55 46L51 46L53 46L54 46L30 62B99 PDFBibTeX XMLCite \textit{F. Hiai} et al., Pac. J. Math. 107, 117--140 (1983; Zbl 0524.46044) Full Text: DOI