Experimental Certification of Quantum Entanglement Based on the Classical Complementary Correlations of Two-Qubit States
Quantum entanglement is one of the essential resources in quantum information processing. It is of importance to verify whether a quantum state is entangled. At present, a typical quantum certification focused on the classical correlations has attracted widespread attention. Here, we experimentally...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-11-01
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| Series: | Photonics |
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| Online Access: | https://www.mdpi.com/2304-6732/8/12/525 |
| _version_ | 1797501468809363456 |
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| author | Zhi-Hao Bian Hui Wu |
| author_facet | Zhi-Hao Bian Hui Wu |
| author_sort | Zhi-Hao Bian |
| collection | DOAJ |
| description | Quantum entanglement is one of the essential resources in quantum information processing. It is of importance to verify whether a quantum state is entangled. At present, a typical quantum certification focused on the classical correlations has attracted widespread attention. Here, we experimentally investigate the relation between quantum entanglement and the classical complementary correlations based on the mutual information, Pearson correlation coefficient and mutual predictability of two-qubit states. Our experimental results show the classical correlations for complementary properties have strong resolution capability to verify entanglement for two qubit pure states and Werner states. We find that the resolution capability has great performance improvement when the eigenstates of the measurement observables constitute a complete set of mutually unbiased bases. For Werner states in particular, the classical complementary correlations based on the Pearson correlation coefficient and mutual predictability can provide the ultimate bounds to certify entanglement. |
| first_indexed | 2024-03-10T03:18:51Z |
| format | Article |
| id | doaj.art-d7ba1595ee1749f3879fd1fd78997c45 |
| institution | Directory Open Access Journal |
| issn | 2304-6732 |
| language | English |
| last_indexed | 2024-03-10T03:18:51Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Photonics |
| spelling | doaj.art-d7ba1595ee1749f3879fd1fd78997c452023-11-23T10:08:23ZengMDPI AGPhotonics2304-67322021-11-0181252510.3390/photonics8120525Experimental Certification of Quantum Entanglement Based on the Classical Complementary Correlations of Two-Qubit StatesZhi-Hao Bian0Hui Wu1School of Science, Jiangnan University, Wuxi 214122, ChinaSchool of Science, Jiangnan University, Wuxi 214122, ChinaQuantum entanglement is one of the essential resources in quantum information processing. It is of importance to verify whether a quantum state is entangled. At present, a typical quantum certification focused on the classical correlations has attracted widespread attention. Here, we experimentally investigate the relation between quantum entanglement and the classical complementary correlations based on the mutual information, Pearson correlation coefficient and mutual predictability of two-qubit states. Our experimental results show the classical correlations for complementary properties have strong resolution capability to verify entanglement for two qubit pure states and Werner states. We find that the resolution capability has great performance improvement when the eigenstates of the measurement observables constitute a complete set of mutually unbiased bases. For Werner states in particular, the classical complementary correlations based on the Pearson correlation coefficient and mutual predictability can provide the ultimate bounds to certify entanglement.https://www.mdpi.com/2304-6732/8/12/525quantum entanglementclassical correlationmutual informationPearson correlation coefficientmutual predictabilityquantum detection |
| spellingShingle | Zhi-Hao Bian Hui Wu Experimental Certification of Quantum Entanglement Based on the Classical Complementary Correlations of Two-Qubit States Photonics quantum entanglement classical correlation mutual information Pearson correlation coefficient mutual predictability quantum detection |
| title | Experimental Certification of Quantum Entanglement Based on the Classical Complementary Correlations of Two-Qubit States |
| title_full | Experimental Certification of Quantum Entanglement Based on the Classical Complementary Correlations of Two-Qubit States |
| title_fullStr | Experimental Certification of Quantum Entanglement Based on the Classical Complementary Correlations of Two-Qubit States |
| title_full_unstemmed | Experimental Certification of Quantum Entanglement Based on the Classical Complementary Correlations of Two-Qubit States |
| title_short | Experimental Certification of Quantum Entanglement Based on the Classical Complementary Correlations of Two-Qubit States |
| title_sort | experimental certification of quantum entanglement based on the classical complementary correlations of two qubit states |
| topic | quantum entanglement classical correlation mutual information Pearson correlation coefficient mutual predictability quantum detection |
| url | https://www.mdpi.com/2304-6732/8/12/525 |
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