Abstract

Abstractk‐uniform mixed states are a significant class of states characterized by all k‐party reduced states being maximally mixed.Novel methodologies are constructed for constructing k‐uniform mixed states with the highest possible purity. By using the orthogonal partition of orthogonal arrays, a series of new k‐uniform mixed states is derived. Consequently, an infinite number of higher‐dimensional k‐uniform mixed states, including those with highest purity, can be generated.

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