Strong NP-hardness of the quantum separability problem

@article{Gharibian2010StrongNO,
  title={Strong NP-hardness of the quantum separability problem},
  author={Sevag Gharibian},
  journal={Quantum Inf. Comput.},
  year={2010},
  volume={10},
  pages={343-360}
}
Given the density matrix ρ of a bipartite quantum state, the quantum separability prob-lem asks whether ρ is entangled or separable. In 2003, Gurvits showed that this problemis NP-hard if ρ is located within an inverse exponential (with respect to dimension) dis-tance from the border of the set of separable quantum states. In this paper, we extendthis NP-hardness to an inverse polynomial distance from the separable set. The resultfollows from a simple combination of works by Gurvits, Ioannou… 

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