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We show that the relative entropy between the reduced density matrix of the vacuum state in some region $A$ and that of an excited state created by a unitary operator localized at a small distance $\ell$ of a boundary point $p$ is insensitive to the global shape of $A$, up to a small correction.
S. Bochner: “Vorlesungen über Fouriersche Integrale,” Leipzig Akad. Verlag 50
1932
Earlier work this paper cites.
A. E. Ingham, “A Note on Fourier Transforms,” J. Lon. Math. Soc. S1-9
1934
Earlier work this paper cites.
“Bemerkungen zur Unitäräquivalenz von lorentzinvarianten Feldern,”
H. Reeh and S. Schlieder, · 1961
Earlier work this paper cites.
R. Haag and D. Kastler, “An Algebraic approach to quantum field theory,” J. Math. Phys. 5
1964
Earlier work this paper cites.
H. Araki, “On quasifree states of the CAR and Bogoliubov automorphisms,” Publ. RIMS Kyoto Univ. 6
1970
Earlier work this paper cites.
H. Araki, “Relative Hamiltonian for faithful normal states of a von Neumann algebra,” Publ. RIMS Kyoto Univ. 9
1973
Earlier work this paper cites.
J. J. Bisognano and E. H. Wichmann, “On the Duality Condition for Quantum Fields,” J. Math. Phys. 17
1976
Earlier work this paper cites.
H. Araki, “Relative entropy of states of von Neumann algebras.I,II.” Publ. RIMS Kyoto Univ. 11
1977
Cited alongside, same era.
P. D. Hislop and R. Longo, “Modular Structure of the Local Algebras Associated With the Free Massless Scalar Field Theory,” Commun. Math. Phys. 84
1982
Cited alongside, same era.
R. M. Wald, General Relativity
1984
Cited alongside, same era.
“On the modular structure of local algebras of observables,”
K. Fredenhagen, · 1985
Cited alongside, same era.
W. B. Gearhart and H. S. Schulz, “The Function sin x / x . \sin x/x. ” College Math. J. 21
1990
Cited alongside, same era.
R. Haag, Local quantum physics: Fields, particles, algebras,
1992
Cited alongside, same era.
C. D’Antoni and S. Hollands, “Nuclearity, local quasiequivalence and split property for Dirac quantum fields in curved space-time,” Commun. Math. Phys. 261
2006
Later among the works it cites.
H. Casini, “Relative entropy and the Bekenstein bound,” Class. Quant. Grav. 25
2008
Later among the works it cites.
S. N. Solodukhin, “Entanglement entropy of black holes,” Living Rev. Rel. 14
2011
Later among the works it cites.
R. Arias, D. Blanco, H. Casini and M. Huerta, “Local temperatures and local terms in modular Hamiltonians,” Phys. Rev. D 95
2017
Later among the works it cites.
M. Rangamani and T. Takayanagi, Holographic Entanglement Entropy
2017
Later among the works it cites.
R. Longo and F. Xu, “Comment on the Bekenstein bound,” J. Geom. Phys. 130
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Operator Algebras and Quantum Statistical Mechanics I
O. Bratteli and D. W. Robinson, · 1997
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2018
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