Estimating quantum steering and Bell nonlocality through quantum entanglement in two-photon systems
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Quantum entanglement, quantum steering and Bell nonlocality, as significant quantum resources in the field of quantum information science, can achieve variously valuable quantum information tasks. Among of them, quantum entanglement and Bell nonlocality are the weakest and strongest nonlocal correlations, respectively. One can capture the quantum steering and Bell nonlocality via violating steering inequality and Bell inequality, respectively. In general, the detections of quantum steering and Bell nonlocality are strictly harder than entanglement detection. Here, based on steering inequality test and quantum state tomography, we attain various nonlocal correlations and experimentally demonstrate that the estimations of quantum steering and Bell nonlocality can be realized according to the quantum entanglement of the prepared two-photon test states. The estimated efficiency of quantum steering is stronger than the one of Bell nonlocality in this scenario, i.e., more steerable two-photon test states can be verified through quantum entanglement. In addition, quantum steering and Bell nonlocality are bounded by the corresponding upper and lower bounds, and these bounds cannot be punctured by all prepared two-photon states in experiment. These results are conducive to understand the relations among these nonlocal correlations.
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Experimental QST-based hierarchies of quantum entanglement, steering, and Bell nonlocality for specific classes of two-qubit states were reported, including experiments with mixtures of partially entangled two-qubit pure states and GWSs based on full QST or full quantum process tomography.
“Experimental QST-based hierarchies of quantum entanglement, steering, and Bell nonlocality for specific classes of two-qubit states in relation to the above-mentioned estimations were also reported, which include experiments with mixtures of partially entangled two-qubit pure states41 and GWSs based on full QST9 or full quantum process tomography24.”
From Experimental hierarchy of two-qubit quantum correlations without state tomography (2023) · cites this paper as [41]
Cites
Violating Bell inequality by mixed states: necessary and sufficient condition
Horodecki, R., Horodecki, P., & Horodecki, M. (1995) · Physics Letters A · doi:10.1016/0375-9601(95)00214-n · Cited by 884 · see citing works
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Experimental hierarchy of two-qubit quantum correlations without state tomography
Abo, S., Soubusta, J., Jiráková, K., Bartkiewicz, K., Černoch, A., Lemr, K., & Miranowicz, A. (2023) · Scientific Reports · doi:10.1038/s41598-023-35015-9 · Cited by 17 · see citing works
- Authors
- Yang, H., Zhao, F., Fan, X.-G., Ding, Z.-Y., Wang, D., Song, X.-K., Yuan, H., Zhang, C.-J., & Ye, L.
- Affiliations
- Anhui University (CN)
- Fuyang Normal University
- University of Science and Technology of China (CN)
- Anhui University
- Venue
- Optics Express
- Publisher
- Optica Publishing Group
- Published
- 2021-08-04
- Volume
- 29
- Issue
- 17
- Pages
- 26822
- ISSN
- 1094-4087 (ISSN-L)
- OpenAlex
- W3185533902
- Cited by
- 14
- References
- 1
- Citations by year
- 2026: 4 · 2025: 3 · 2024: 1 · 2023: 4 · 2022: 1 · 2021: 1
- FWCI
- 0.62
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Optics Express (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Natural Science Foundation of China (11405171, 11575001, 11605028, 12004006, 12075001, 61601002)
- Natural Science Foundation of Anhui Province (2008085QA43)
- Program of Excellent Youth Talent Project of the Education Department of Anhui Province of China (gxyq2018059, gxyqZD2018065, gxyqZD2019042)
- Natural Science Research Project of Education Department of Anhui Province of China (KJ2018A0343)
- CAS Key Laboratory of Quantum Information (KQI201801, KQI201804)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- quantum steering, Bell nonlocality, quantum entanglement, two-photon states, steering inequalities, Bell inequalities, entanglement detection, quantum state tomography, nonlocal correlations
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