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Relative entropy and the Bekenstein bound · Around

2008

Relative entropy and the Bekenstein bound

Casini, H.

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Elaborating on a previous work by Marolf et al, we relate some exact results in quantum field theory and statistical mechanics to the Bekenstein universal bound on entropy.

Specifically, we consider the relative entropy between the vacuum and another state, both reduced to a local region.
We propose that, with the adequate interpretation, the positivity of the relative entropy in this case constitutes a well defined statement of the bound in flat space.
We show that this version arises naturally from the original derivation of the bound from the generalized second law when quantum effects are taken into account.

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Then

H. Casini and M. Huerta, J. Stat. Mech. 0801
Original
2003
Later among the works it cites.
R. Bousso, JHEP 0402
2004
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D. Marolf, D. Minic and S. F. Ross, Phys. Rev. D 69
2004
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R. Bousso, JHEP 0403
2004
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J. D. Bekenstein, Phys. Rev. D 49
2005
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H. Casini and M. Huerta, Nucl. Phys. B 764
2007
Later among the works it cites.
H. Casini, arXiv:0712.0403 [hep-th]; H. Casini, Class. Quant. Grav. 24

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