$k$-uniform mixed states
Quantum Physics
2019-09-17 v2
Abstract
We investigate the maximum purity that can be achieved by k-uniform mixed states of N parties. Such N-party states have the property that all their k-party reduced states are maximally mixed. A scheme to construct explicitly k-uniform states using a set of specific N-qubit Pauli matrices is proposed. We provide several different examples of such states and demonstrate that in some cases the state corresponds to a particular orthogonal array. The obtained states, despite being mixed, reveal strong non-classical properties such as genuine multipartite entanglement or violation of Bell inequalities.
Keywords
Cite
@article{arxiv.1906.01311,
title = {$k$-uniform mixed states},
author = {Waldemar Klobus and Adam Burchardt and Adrian Kolodziejski and Mahasweta Pandit and Tamas Vertesi and Karol Zyczkowski and Wieslaw Laskowski},
journal= {arXiv preprint arXiv:1906.01311},
year = {2019}
}
Comments
10 pages, 2 figures, journal version