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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 ourmathematical expression of "strong independence" for states that satisfySpectrum Broadcast Structure. We concede that we wrote a mathematical conditionthat is necessary but not sufficient. However, we used the original and correctqualitative definition for "strong independence" throughout the paper and inour proofs, therefore the proofs and statements, aside from the aforementionedmathematical expression, remain correct.

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