  Quantum technology offers great advantages in many applications by exploiting
quantum resources like nonclassicality, coherence, and entanglement. In
practice, an environmental noise unavoidably affects a quantum system and it is
thus an important issue to protect quantum resources from noise. In this work,
we investigate the manipulation of quantum resources possessing the so-called
tensorization property and identify the fundamental limitations on
concentrating and preserving those quantum resources. We show that if a
resource measure satisfies the tensorization property as well as the
monotonicity, it is impossible to concentrate multiple noisy copies into a
single better resource by free operations. Furthermore, we show that quantum
resources cannot be better protected from channel noises by employing
correlated input states on joint channels if the channel output resource
exhibits the tensorization property. We address several practical resource
measures where our theorems apply and manifest their physical meanings in
quantum resource manipulation.
