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.

References in corpus (4)

• Experimental quantum teleportation
• Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
• Genuinely multipartite entangled states and orthogonal arrays
• Exploring pure quantum states with maximally mixed reductions