Quantum $k$-uniform states from quantum orthogonal arrays

Autor: Zang, Yajuan, Tian, Zihong, Fei, Shao-Ming, Zuo, Hui-Juan
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/s10773-023-05316-w
Popis: The quantum orthogonal arrays define remarkable classes of multipartite entangled states called $k$-uniform states whose every reductions to $k$ parties are maximally mixed. We present constructions of quantum orthogonal arrays of strength 2 with levels of prime power, as well as some constructions of strength 3. As a consequence, we give infinite classes of 2-uniform states of $N$ systems with dimension of prime power $d\geq 2$ for arbitrary $N\geq 5$; 3-uniform states of $N$-qubit systems for arbitrary $N\geq 6$ and $N\neq 7,8,9,11$; 3-uniform states of $N$ systems with dimension of prime power $d\geq 7$ for arbitrary $N\geq 7$.
Comment: 26 pages, 1 figures
Databáze: arXiv
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