Physical Review Research (Oct 2022)

Fundamental limits on concentrating and preserving tensorized quantum resources

  • Jaehak Lee,
  • Kyunghyun Baek,
  • Jiyong Park,
  • Jaewan Kim,
  • Hyunchul Nha

DOI
https://doi.org/10.1103/PhysRevResearch.4.043070
Journal volume & issue
Vol. 4, no. 4
p. 043070

Abstract

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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 paper, 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.