Complete hierarchies of efficient approximations to problems in entanglement theory

  title={Complete hierarchies of efficient approximations to problems in entanglement theory},
  author={Jens Eisert and Philipp Hyllus and Otfried Guehne and Marcos Curty},
  journal={Physical Review A},
We investigate several problems in entanglement theory from the perspective of convex optimization. This list of problems comprises (A) the decision whether a state is multi-party entangled, (B) the minimization of expectation values of entanglement witnesses with respect to pure product states, (C) the closely related evaluation of the geometric measure of entanglement to quantify pure multi-party entanglement, (D) the test whether states are multi-party entangled on the basis of witnesses… 

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