English

On the tensor convolution and the quantum separability problem

Mathematical Physics 2011-06-08 v2 math.MP Quantum Physics

Abstract

We consider the problem of separability: decide whether a Hermitian operator on a finite dimensional Hilbert tensor product is separable or entangled. We show that the tensor convolution defined for certain mappings on an almost arbitrary locally compact abelian group, give rise to formulation of an equivalent problem to the separability one.

Keywords

Cite

@article{arxiv.1001.1673,
  title  = {On the tensor convolution and the quantum separability problem},
  author = {Gabriel Pietrzkowski},
  journal= {arXiv preprint arXiv:1001.1673},
  year   = {2011}
}

Comments

13 pages, two sections added

R2 v1 2026-06-21T14:33:11.036Z