3-Uniform states and orthogonal arrays of strength 3
Yajuan Zang, Hui-Juan Zuo, Zihong Tian · International Journal of Quantum Information · 2019
A pure quantum state of [Formula: see text] subsystems with [Formula: see text] levels is called [Formula: see text]-uniform state if all its reductions to [Formula: see text] qudits are maximally mixed. We construct 3-uniform states for an arbitrary number of [Formula: see text] via orthogonal arrays and the method of adding minus signs mathematically.