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We define a new divergence of von Neumann algebras using a variational expression that is similar in nature to Kosaki's formula for the relative entropy.
H. Araki, “Relative Hamiltonian for faithful normal states of a von Neumann algebra,” Publ. RIMS Kyoto Univ. 9
1973
Earlier work this paper cites.
A. Uhlmann, “The ‘transition probability’ in the state space of a ∗ -algebra,” Reports on Mathematical Physics. 9 (2): 273-279 (1976)
1976
Earlier work this paper cites.
H. Araki, “Relative entropy of states of von Neumann algebras.I,II.” Publ. RIMS Kyoto Univ. 11
1977
Earlier work this paper cites.
A. Uhlmann, “Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory,” Commun. Math. Phys., 54(1): 21-32 (1977)
1977
Earlier work this paper cites.
U. Haagerup, “Operator valued weights in von Neumann algebras.” I+II, J. Funct. Anal. 32, 175?206 (1979) and 33, 339?361 (1979)
1979
Earlier work this paper cites.
A. Connes, “Spatial theory of von Neumann algebras,” J. Funct. Anal. 35, 153?164 (1980)
1980
Earlier work this paper cites.
H. Araki and T. Masuda, “Positive cones and L p L_{p} -spaces for von Neumann algebras,” Publ. RIMS Kyoto Univ. 18, 339-411 (1982)
1982
Earlier work this paper cites.
P. M. Alberti, “A note on the transition probability over C ∗ C^{*} algebras,” J. Math. Phys. 7, 25-32 (1983)
1983
Earlier work this paper cites.
V. Jones, “Index for subfactors,” Invent. Math. 72, 1-25 (1983)
1983
Earlier work this paper cites.
H. Kosaki, “Relative entropy for states: a variational expression,” J. Op. Th. 16
1986
Earlier work this paper cites.
H. Kosaki, “Extension of Jones theory on index to arbitrary factors,” J. Func. Anal. 66, 123-140 (1986)
1986
Earlier work this paper cites.
M. Pimsner, S. Popa: Entropy and index for subfactors, Ann. Sci. Ec. Norm. Sup. 19, 57-106 (1986)
1986
Earlier work this paper cites.
D. Buchholz, K. Fredenhagen and C. D’Antoni, “The Universal Structure of Local Algebras,” Commun. Math. Phys. 111
1987
Earlier work this paper cites.
F. Hiai, Minimizing indices of conditional expectations onto a subfactor, Publ. Res. Inst. Math. Sci., Kyoto Univ., 24 (1988), 673-678
1988
Cited alongside, same era.
R. Haag, Local quantum physics: Fields, particles, algebras,
1992
Cited alongside, same era.
M. Ohya, D. Petz, Quantum entropy and its use,
1993
Cited alongside, same era.
R. Longo, “A duality theory for Hopf algebras and for subfactors,” Commun. Math. Phys. 159 (1994), 133-150
1994
Cited alongside, same era.
R. Longo and K.-H. Rehren, “Nets of subfactors,” Rev. Math. Phys. 7 (1995) 567-597
1995
Cited alongside, same era.
Operator Algebras and Quantum Statistical Mechanics I
O. Bratteli and D. W. Robinson, · 1997
Cited alongside, same era.
R. Frank and E. Lieb, “Monotonicity of a relative Renyi entropy,” J. Math. Phys. 54, 122201 (2013)
2013
Later among the works it cites.
M. Muller-Lennert, F. Dupuis, O. Szehr, S. Fehr, and M. Tomamichel. “On quantum relative Renyi entropies: a new generalization,”. J. Math. Phys, 54(12): 122203 (2013)
2013
Later among the works it cites.
M. Bischoff, R. Longo and K.-H. Rehren, “Tensor categories and endomorphisms of von Neumann algebras (with applications to Quantum Field Theory)” Springer Briefs in Mathematical Physics” (2015)
2015
Later among the works it cites.
M. Mosonyi and T. Ogawa. “Quantum Hypothesis Testing and the Operation Meaning of Quantum Relative Renyi Entropies,” Commun. Math. Phys., 334(3): 1617-1648 (2015)
2015
Later among the works it cites.
P. A. Coles, M. Berta, M. Tomamichel, and S. Wehner: “Entropic uncertainty relations and their applications,” Rev. Mod. Phys. 89
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R. Longo, “Conformal subnets and intermediate subfactors,” Commun. Math. Phys. 237 n. 1-2 (2003), 7-30
2003
Cited alongside, same era.
M. Takesaki Theory of operator algebras, I-III
2003
Cited alongside, same era.
Y. Kawahigashi and R. Longo, “Classification of two-dimensional local conformal nets with c less than 1 and 2 cohomology vanishing for tensor categories,” Commun. Math. Phys. 244
2004
Cited alongside, same era.
2005
Cited alongside, same era.
2006
Cited alongside, same era.
2008
Cited alongside, same era.
2017
Later among the works it cites.
M. Berta, V. B. Scholz and M. Tomamichel, “Renyi Divergences as Weighted Non-commutative Vector-Valued L p L_{p} -Spaces,” Annales Henri Poincare 19
2018
Later among the works it cites.
A. Jencova, “Renyi Relative Entropies and Noncommutative L p L_{p} -Spaces,” Ann. H. Poincare, 19
2018
Later among the works it cites.
M. Junge, R. Renner, D. Sutter, M. M. Wilde and A. Winter, “Universal Recovery Maps and Approximate Sufficiency of Quantum Relative Entropy,” Annales Henri Poincare 19
2018
Later among the works it cites.
R. Longo, “On Landauer’s Principle and Bound for Infinite Systems,” Commun. Math. Phys. 363
2018
Later among the works it cites.
R. Longo and F. Xu, “Relative Entropy in CFT,” Adv. Math. 337
2018
Later among the works it cites.
H. Casini, M. Huerta, J. M. Magan and D. Pontello, “Entanglement entropy and superselection sectors. Part I. Global symmetries,” JHEP 2002
2020
Closest in time.
F. Xu, “On Relative Entropy and Global Index,” Trans. Am. Math. Soc. 373
2020
Closest in time.