Purity and construction of arbitrary dimensional $k$-uniform mixed states

Abstract

k-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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Cited by in corpus (2)

• Identifying local unitary equivalence based on reduction of quantum states
• Multiqubit monogamy relations beyond shadow inequalities