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Benjamin Lovitz

Publcations and preprints
research
Benjamin Lovitz
Lovitz_web_scratch.jpg

Figure: A pictorial representation of a tensor (left) and its decomposition into product tensors (right).

a splitting theorem for product tensors
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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.

tensor-based methods for quantum information and entanglement theory
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