Experimental verification of the steering ellipsoid zoo via two-qubit states

• URL: http://arxiv.org/abs/2310.18645v2
• Date: Fri, 15 Mar 2024 13:13:54 GMT
• Title: Experimental verification of the steering ellipsoid zoo via two-qubit states
• Authors: Kai Xu, Lijun Liu, Ning-Ning Wang, Chao Zhang, Yun-Feng Huang, Bi-Heng Liu, Shuming Cheng, Chuan-Feng Li, Guang-Can Guo,
• Abstract summary: Quantum steering ellipsoid visualizes the set of all qubit states that can be steered by measuring on another correlated qubit in the Bloch picture. Various types of quantum ellipsoids with different geometric properties form an ellipsoid zoo.
• Score: 9.694128226800208
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum steering ellipsoid visualizes the set of all qubit states that can be steered by measuring on another correlated qubit in the Bloch picture. Together with local reduced states, it provides a faithful geometric characterization of the underlying two-qubit state so that almost all nonclassical state features can be reflected in its geometric properties. Consequently, the various types of quantum ellipsoids with different geometric properties form an ellipsoid zoo, which, in this work, is experimentally verified via measurements on many polarization-path photonic states. By generating two-qubit states with high fidelity, the corresponding ellipsoids are constructed to certify the presence of entanglement, one-way Einstein-Podolsky-Rosen steering, discord, and steering incompleteness. It is also experimentally verified that the steering ellipsoid can be reconstructed from using the twelve vertices of the icosahedron as measurement directions. Our results aid progress in applying the quantum steering ellipsoid to reveal nonclassical features of the multi-qubit system.

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