  In a recent comment [Feller et. al, arXiv:2101.09186] on our Letter [Phys.
Rev. Lett. 122, 010403 (2019)], Feller et. al identified a mistake in our
mathematical expression of "strong independence" for states that satisfy
Spectrum Broadcast Structure. We concede that we wrote a mathematical condition
that is necessary but not sufficient. However, we used the original and correct
qualitative definition for "strong independence" throughout the paper and in
our proofs, therefore the proofs and statements, aside from the aforementioned
mathematical expression, remain correct.
