Experimental verification of anisotropic invariance for three-qubit states

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Zhu, J
Hu, MJ
Cheng, S
Hall, MJW
Li, CF
Guo, GC
Zhang, YS
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2019
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Abstract

We experimentally test the recently predicted anisotropic invariance properties of pure three-qubit states, via generation and measurement of polarization-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, provide a robust and complete set of invariants for such states under local unitary transformations.

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Physical Review A

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99

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4

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© 2020 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.

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Physical sciences

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Zhu, J; Hu, MJ; Cheng, S; Hall, MJW; Li, CF; Guo, GC; Zhang, YS, Experimental verification of anisotropic invariance for three-qubit states, Physical Review A, 2019, 99 (4), pp. 040103

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