Chin. Phys. Lett.  2020, Vol. 37 Issue (9): 090302    DOI: 10.1088/0256-307X/37/9/090302
 GENERAL |
Constructing a Maximally Entangled Seven-Qubit State via Orthogonal Arrays
Xin-Wei Zha , Min-Rui Wang*, and Ruo-Xu Jiang
School of Science, Xi'an University of Posts and Telecommunications, Xi'an 710121, China
Xin-Wei Zha , Min-Rui Wang, and Ruo-Xu Jiang  2020 Chin. Phys. Lett. 37 090302
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Abstract Huber et al. [Phys. Rev. Lett. 118 (2017) 200502] have proved that a seven-qubit state whose three-body marginal states are all maximally mixed does not exist. Here, we propose a method to build a maximally entangled state based on orthogonal arrays to construct maximally entangled seven-qubit states. Using this method, we not only determine that a seven-qubit state whose three-body marginals are all maximally mixed does not exist, but also find the condition for maximally entangled seven-qubit states. We consider that $\pi_{\rm ME} =19/140$ is a condition for maximally entangled seven-qubit states. Furthermore, we derive three forms of maximally entangled seven-qubit states via orthogonal arrays.
Received: 15 March 2020      Published: 01 September 2020
 PACS: 03.67.-a (Quantum information) 03.65.Ud (Entanglement and quantum nonlocality) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)
 TRENDMD: URL: http://cpl.iphy.ac.cn/10.1088/0256-307X/37/9/090302       OR      http://cpl.iphy.ac.cn/Y2020/V37/I9/090302