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3-Uniform states and orthogonal arrays

Published 30 Sep 2015 in quant-ph | (1509.09049v1)

Abstract: In a paper (Phys. Rev. A 90, 022316 (2014) ), Goyeneche et al. established a link between the combinatorial notion of orthogonal arrays and k-uniform states and present open issue. (B) Find for what N there are 3-uniform states of N-qubits. In this paper, we demonstrate the existence of 3-uniform states of N-qubits for N=11,..,15".

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