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cs.DS2022★ 6 cited
Computing linear sections of varieties: quantum entanglement, tensor decompositions and beyond
Nathaniel Johnston, Benjamin Lovitz, Aravindan Vijayaraghavan
We study the problem of finding elements in the intersection of an arbitrary conic variety in with a given linear subspace (where can be the real or com…
quant-ph2022★ 7 cited
A Complete Hierarchy of Linear Systems for Certifying Quantum Entanglement of Subspaces
Nathaniel Johnston, Benjamin Lovitz, Aravindan Vijayaraghavan
We introduce a hierarchy of linear systems for showing that a given subspace of pure quantum states is entangled (i.e., contains no product states). This hierarchy outperforms know…