arXiv:1309.4177 [quant-ph]AbstractReferencesReviewsResources
The number of product vectors and their partial conjugates in a pair of spaces
Published 2013-09-17, updated 2013-09-24Version 2
Let $D$ and $E$ be subspaces of the tensor product of the finite-dimensional Hilbert spaces $\mathbb{C}^m \otimes \mathbb{C}^n$. We show that the number of product vectors in $D$ with their partial conjugates in $E$ is uniformly bounded depending only on $m$ and $n$ whenever it is finite. We also give an upper bound in qubit-qunit case which we expect to be sharp.
Comments: 12 pages
Related articles: Most relevant | Search more
Existence of product vectors and their partial conjugates in a pair of spaces
Product vectors in the ranges of multi-partite states with positive partial transposes and permanents of matrices
arXiv:1302.4654 [quant-ph] (Published 2013-02-19)
Quantum entanglement in finite-dimensional Hilbert spaces