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We make a rigorous computation of the relative entropy between the vacuum state and a coherent state for a free scalar in the framework of AQFT.
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H. Araki, “Von neumann algebras of local observables for free scalar field,” Journal of Mathematical Physics
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H. Casini, “Mutual information challenges entropy bounds,” Class. Quant. Grav
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P. Camassa, “Relative Haag duality for the free field in Fock representation,” Annales Henri Poincare
2007
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H. Casini, “Relative entropy and the Bekenstein bound,” Class. Quant. Grav
2008
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2010
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D. D. Blanco, H. Casini, L.-Y. Hung, and R. C. Myers, “Relative Entropy and Holography,” JHEP
2013
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N. Lashkari, “Relative Entropies in Conformal Field Theory,” Phys. Rev. Lett
2014
2016
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N. Lashkari, “Modular Hamiltonian for Excited States in Conformal Field Theory,” Phys. Rev. Lett
2016
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2017
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2017
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T. Faulkner and A. Lewkowycz, “Bulk locality from modular flow,” JHEP
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Cited alongside, same era.
H. Casini, M. Huerta, R. C. Myers, and A. Yale, “Mutual information and the F-theorem,” JHEP
2015
Cited alongside, same era.
2016
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2016
Cited alongside, same era.
S. Hollands, “Relative entropy close to the edge,” arXiv:1805.10006 [hep-th]
Cited in the paper.
Cited in the paper.
F. Xu, “On Relative Entropy and Global Index,” arXiv:1812.01119 [math-ph]
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2017
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2018
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R. Longo and F. Xu, “Relative Entropy in CFT,” Adv. Math
2018
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