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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 |
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| Cite this article: |
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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.
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Received: 15 March 2020
Published: 01 September 2020
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| PACS: |
03.67.-a
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(Quantum information)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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