Tensor Decompositions with Applications to Local Unitary and Stochastic Local Operations and Classical Communication Equivalence of Multipartite Pure States

L Oeding, I Tan - SIAM Journal on Applied Algebra and Geometry, 2025 - SIAM
We introduce a broad lemma, one consequence of which is the higher order singular value
decomposition (HOSVD) of tensors (L. De Lathauwer, B. De Moor, and J. Vandewalle, SIAM …

Tensor Decompositions with applications to LU and SLOCC equivalence of multipartite pure states

L Oeding, I Tan - arXiv preprint arXiv:2402.12542, 2024 - arxiv.org
We introduce a general lemma, of which one consequence is the higher order singular
value decomposition (HOSVD) of tensors defined by DeLathauwer, DeMoor and …

A new degree bound for local unitary and -qubit SLOCC Invariants

J Turner - arXiv preprint arXiv:1706.00634, 2017 - arxiv.org
Deep connections between invariant theory and entanglement have been known for some
time and been the object of intense study. This includes the study of local unitary …