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arXiv · 1811.08643

Experimental Verification of Anisotropic Invariance for Three-Qubit States

Jie Zhu·Meng-Jun Hu·Shuming Cheng·Michael J. W. Hall·Chuan-Feng Li·Guang-Can Guo·Yong-Sheng Zhang
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Abstract

We experimentally test the recently predicted anisotropic invariance properties of pure three-qubit states, via generation and measurement of polarisation-path entangled three-qubit states. These properties do not require aligned reference frames and can be determined from measurements on any two of the qubits. They have several applications, such as a universal ordering of pairwise quantum correlations, strong monogamy relations for Bell inequalities and quantum steering, and a complementarity relation for Bell nonlocality versus 3-tangle, some of which we also test. The results indicate that anisotropic invariance, together with the three qubit Bloch vector lengths, can provide a robust and complete set of invariants for such states under local unitary transformations.

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Jie Zhu, Meng-Jun Hu, Shuming Cheng, Michael J. W. Hall, Chuan-Feng Li, Guang-Can Guo, Yong-Sheng Zhang. 2018-11-21. Experimental Verification of Anisotropic Invariance for Three-Qubit States. https://doi.org/10.1103/physreva.99.040103

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