13 citations · 66 across the 21 of their papers we have counts for
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Nearly tight bounds for testing tree tensor network states
Benjamin Lovitz, Angus Lowe
Tree tensor network states (TTNS) generalize the notion of having low Schmidt-rank to multipartite quantum states, through a parameter known as the bond dimension. This leads to su…
X-arability of mixed quantum states
Harm Derksen, Nathaniel Johnston, Benjamin Lovitz
The problem of determining when entanglement is present in a quantum system is one of the most active areas of research in quantum physics. Depending on the setting at hand, differ…
Linear preservers of secant varieties and other varieties of tensors
Fulvio Gesmundo, Young In Han, Benjamin Lovitz
We study the problem of characterizing linear preserver subgroups of algebraic varieties, with a particular emphasis on secant varieties and other varieties of tensors. We introduc…