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This paper proposes and studies new quantum version of $f$-divergences, a class of convex functionals of a pair of probability distributions including Kullback-Leibler divergence, Rnyi-type relative entropy and so on.
Parthasarathy, K.:Probability and Measures on Metric Spaces. Academic Press(1967)
1967
Earlier work this paper cites.
Luenberger, D. G.:Optimization by vector space methods. Wiley, New York (1969)
1969
Earlier work this paper cites.
Rockafellar,R.T.:Convex Analysis. Princeton(1970)
1970
Earlier work this paper cites.
Holevo, A.S.:Probabilistic and Statistical Aspects of Quantum Theory, North-Holland, Amsterdam, (1982)(in Russian, 1980)
1980
Earlier work this paper cites.
Strasser, H.:Mathematical Theory of Statistics—Statistical Experiments and Asymptotic Decision Theory. Walter de Gruyter, Berlin(1985)
1985
Earlier work this paper cites.
1985
Earlier work this paper cites.
Hiai,F., Petz,D.: The proper formula for relative entropy and its asymptotics in quantum probability. Comm. Math. Phys. 143, 99-114 (1991)
1991
Earlier work this paper cites.
Bhatia, R.: Matrix Analysis. Springer, Berlin (1996)
1996
Earlier work this paper cites.
Petz,D.:Monotone Metrics on Matrix Spaces:Linear Algebra and its Applications, 224, 81-96 (1996)
1996
Earlier work this paper cites.
Matsumoto, K.: A Geometrical Approach to Quantum Estimation Theory, doctoral dissertation, University of Tokyo (1998)
1998
Cited alongside, same era.
Chefles, A.:Deterministic quantum state transformations. Phys. Lett A 270, 14 (2000)
2000
Cited alongside, same era.
Amari, S., Nagaoka,H.: Methods of Information Geometry. AMS (2001)
2001
Cited alongside, same era.
Belavkin,V. P.:On Entangled Quantum Capacity. In: Quantum Communication, Computing, and Measurement 3.pp.325-333. Kluwer, Boston (2001)
2001
Cited alongside, same era.
Ryan,R.A.:Introduction to tensor products of Banach spaces, Springer, Berlin(2002)
2002
Cited alongside, same era.
Jencova, A.:Affine connections, duality and divergences for a von Neumann algebra. arXiv:math-ph/0311004 (2003)
Hiai,F., Petz,D.: Different quantum f-divergences and the reversibility of quantum operations, arXiv:math-ph/1604.03089 (2006)
2006
Later among the works it cites.
Bhatia,R.: Positive Definite Matrices. Princeton (2007)
2007
Later among the works it cites.
Matsumoto, K.: Reverse test and quantum analogue of classical Fidelity and generalized Fidelity, arXiv:quant-ph/1006.0302 (2010)
2010
Later among the works it cites.
Ebadian, A., Nikoufar, I., and Gordjic,M.: Perspectives of matrix convex functions. Proc. Natl Acad. Sci. USA, 108(18), 7313–7314 (2011)
2011
Later among the works it cites.
Hiai, F., Mosonyi, M., Petz D., and Beny, C.:Quantum f- divergences and error corrections. Rev. Math. Phys. 23, 691–747 (2011)
2011
Later among the works it cites.
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2003
Cited alongside, same era.
Matsumoto, K.: Reverse estimation theory, Complementality between RLD and SLD, and monotone distances. arXiv:quant-ph/0511170 (2005)
2005
Cited alongside, same era.
Hammersley,S. J.,Belavkin, V. P.:Information Divergence for Quantum Channels, Infinite Dimensional Analysis. In: Quantum Information and Computing, Quantum Probability and White Noise Analysis,VXIX, pp.149-166, World Scientific, Singapore(2006)
2006
Cited alongside, same era.
Hayashi,M.:Characterization of Several Kinds of Quantum Analogues of Relative Entropy. Quantum Information and Computation, Vol. 6, 583-596 (2006)
2006
Cited alongside, same era.
Jencova, A.:Reversibility conditions for quantum operations. Rev. Math. Phys. 24 1250016(2012)
2012
Later among the works it cites.
Effros, E., and Hansen, F.,: Non-commutative perspectives, Ann. Funct. Anal. Volume 5, Number 2, 74-79 (2014)
2014
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