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Benjamin Lovitz
Publcations and preprints
research
Figure: A pictorial representation of a tensor (left) and its decomposition into product tensors (right).
tensor decompositions
GIF: A tensor is said to have a unique decomposition if any two decompositions agree, up to reordering terms. Kruskal's theorem, and our generalization, gives a sufficient condition for a decomposition to be unique.
quantum entanglement theory
Figure: A pictorial representation of the thought experiment described above (source).
quantum property testing
Figure: Different types of tensor network states. Our methods can handle tree tensor network states, of which figures (i), (ii), and (v) are examples (source).
polynomial optimization
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