Modular energy inequalities from relative entropy

H. Epstein, V. Glaser and A. Jaffe, “Nonpositivity of energy density in Quantized field theories”, Nuovo Cim. 36

1965

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.

L. H. Ford, “Quantum coherence effects and the second law of thermodynamics,” Proc. Roy. Soc. Lond. A 364 (1978). See also the discussion in [ 5 ]

1978

Earlier work this paper cites.

J. D. Bekenstein, “A Universal Upper Bound on the Entropy to Energy Ratio for Bounded Systems”, Phys. Rev. D 23

1981

Earlier work this paper cites.

P. Di Francesco, P. Mathieu and D. Senechal, “Conformal field theory”, Springer, New York (1997)

1997

Earlier work this paper cites.

H. J. Borchers and J. Yngvason, “Modular groups of quantum fields in thermal states”, J. Math. Phys. 40

1999

Earlier work this paper cites.

V. Vedral, “The role of relative entropy in quantum information theory”, Rev. Mod. Phys. 74

2002

Earlier work this paper cites.

N. Pippenger, IEEE Trans. Inf. Theory 49

2003

Cited alongside, same era.

P. Calabrese and J. Cardy, “Entanglement entropy and quantum field theory”, J. Stat. Mech. 0406

2004

Cited alongside, same era.

C. Fewster and S. Hollands, “Quantum energy inequalities in two-dimensional conformal field theory”, Rev. Math. Phys. 17

2005

Cited alongside, same era.

H. Casini, “Relative entropy and the Bekenstein bound”, Class. Quant. Grav. 25

Original

2008

Cited alongside, same era.

H. Casini, M. Huerta and Robert C. Myers, “Towards a derivation of holographic entanglement entropy”, JHEP 1105

Original

2011

Cited alongside, same era.

R. Bousso, H. Casini, Z. Fisher and J. Maldacena, “Entropy on a null surface for interacting quantum field theories and the Bousso bound”, Phys. Rev. D 91

Original

2014

Later among the works it cites.

N. Lashkari, C. Rabideau, P. Sabella-Garnier and M. Van Raamsdonk, “Inviolable energy conditions from entanglement inequalities”, JHEP 1506

Original

2015

Later among the works it cites.

D. Sutter, M. Tomamichel, A. W. Harrow, “Strengthened Monotonicity of Relative Entropy via Pinched Petz Recovery Map”, IEEE Transactions on Information Theory, vol. 62, no. 5, pages 2907-2913, 2016 [arXiv:1507.00303v3]

Original

2016

Later among the works it cites.

T. Faulkner, R. G. Leigh, O. Parrikar and H. Wang, “Modular Hamiltonians for Deformed Half-Spaces and the Averaged Null Energy Condition”, JHEP 1609

Original

2017

Closest in time.