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We explore the generalized covariant entropy bound in the theory whereEinstein gravity is perturbed by quadratic curvature terms, which can be viewedas the first-order quantum correction to Einstein gravity. By replacing theBekenstein-Hawking entropy with the holographic entanglement entropy of thistheory and introducing two reasonable physical assumptions, we demonstrate thatthe corresponding Generalized Covariant Entropy Bound is satisfied under afirst-order approximation of the perturbation from the quadratic curvatureterms. Our findings suggest that the entropy bound and the Generalized SecondLaw of black holes are satisfied in the Einstein gravity under the first-orderperturbation from the quadratic curvature corrections, and they also imply thatthe generalized covariant entropy bound may still hold even after consideringthe quantum correction of gravity, but in this case, we may need to useholographic entanglement entropy as the formula for gravitational entropy.

Generalized Covariant Entropy Bound in Einstein Gravity with Quadratic Curvature Corrections