Planar k-Uniform States: a Generalization of Planar Maximally Entangled States
Abstract
Recently, Doroudiani and Karimipour [Phys. Rev. A \textbf{102} 012427(2020)] proposed the notation of planar maximally entangled (PME) states which are a wider class of multipartite entangled states than absolutely maximally entangled (AME) states. There they presented their constructions in the multipartite systems but the number of particles is restricted to be even. Here we first solve the remaining cases, i.e., constructions of planar maximally entangled states on systems with odd number of particles. In addition, we generalized the PME to the planar -uniform states whose reductions to any adjacent parties along a circle of parties are maximally mixed. We presented a method to construct sets of planar -uniform states which have minimal support.
Keywords
Cite
@article{arxiv.2106.12209,
title = {Planar k-Uniform States: a Generalization of Planar Maximally Entangled States},
author = {Yan-Ling Wang},
journal= {arXiv preprint arXiv:2106.12209},
year = {2021}
}
Comments
13pages, 3 figures, submitted to Quantum Information Processing