题目：Constructions of k-uniform states from mixed orthogonal arrays
报告摘要：We study k-uniform states in heterogeneous systems whose local dimensions are mixed. Based on the connections between mixed orthogonal arrays with certain minimum Hamming distance, irredundant mixed orthogonal arrays and k-uniform states, we present two constructions of 2-uniformstates in heterogeneous systems. We also construct a family of 3-uniform states in heterogeneous systems, which solves a question posed in [D. Goyeneche et al., Phys. Rev. A 94, 012346 (2016)].We show two methods of generating (k-1)-uniform states from k-uniform states. Some new results on the existence and nonexistence of absolutely maximally entangled states are provided. For the applications, we present an orthogonal basis consisting of k-uniform states with minimum support. Moreover, we show that some k-uniform bases can not be distinguished by local operations and classical
communications, and this shows quantum nonlocality with entanglement.
会议 ID：327 639 570