13 citations · 66 across the 21 of their papers we have counts for
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quant-ph2021★ 6 cited
New techniques for bounding stabilizer rank
Benjamin Lovitz, Vincent Steffan
In this work, we present number-theoretic and algebraic-geometric techniques for bounding the stabilizer rank of quantum states. First, we refine a number-theoretic theorem of Moul…
math.CO2021★ 8 cited
A generalization of Kruskal's theorem on tensor decomposition
Benjamin Lovitz, Fedor Petrov
Kruskal's theorem states that a sum of product tensors constitutes a unique tensor rank decomposition if the so-called k-ranks of the product tensors are large. We prove a "splitti…