432 citations · 1k across the 5 of their papers we have counts for
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quant-ph2001
Distinguishing separable and entangled states
Andrew C. Doherty, Pablo A. Parrilo, Federico M. Spedalieri
We show how to design families of operational criteria that distinguish entangled from separable quantum states. The simplest of these tests corresponds to the well-known Peres-Hor…
math.OC2001
Minimizing Polynomial Functions
Pablo A. Parrilo, Bernd Sturmfels
We compare algorithms for global optimization of polynomial functions in many variables. It is demonstrated that existing algebraic methods (Gröbner bases, resultants, homotopy met…