An Effective Way to Determine the Separability of Quantum State
We propose in this work a practical approach to address the longstanding and challenging problem of quantum separability, leveraging the correlation matrices of generic observables. General separability conditions are obtained by dint of constructing the measurement-induced Bloch space, which in ess...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2025-05-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2025-05-06-1734/pdf/ |
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| _version_ | 1850192746114973696 |
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| author | Ma-Cheng Yang Cong-Feng Qiao |
| author_facet | Ma-Cheng Yang Cong-Feng Qiao |
| author_sort | Ma-Cheng Yang |
| collection | DOAJ |
| description | We propose in this work a practical approach to address the longstanding and challenging problem of quantum separability, leveraging the correlation matrices of generic observables. General separability conditions are obtained by dint of constructing the measurement-induced Bloch space, which in essence come from the intrinsic constraints in the space of quantum state. The novel approach can not only reproduce various established entanglement criteria, it may as well brings about some new results, possessing obvious advantages for certain bound entangled states and the high dimensional Werner states. Moreover, it is found that criteria obtained in our approach can be directly transformed into entanglement witness operators. |
| format | Article |
| id | doaj-art-406d1fd0b1f04ea5bac10f5ac1d778ac |
| institution | OA Journals |
| issn | 2521-327X |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj-art-406d1fd0b1f04ea5bac10f5ac1d778ac2025-08-20T02:14:27ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-05-019173410.22331/q-2025-05-06-173410.22331/q-2025-05-06-1734An Effective Way to Determine the Separability of Quantum StateMa-Cheng YangCong-Feng QiaoWe propose in this work a practical approach to address the longstanding and challenging problem of quantum separability, leveraging the correlation matrices of generic observables. General separability conditions are obtained by dint of constructing the measurement-induced Bloch space, which in essence come from the intrinsic constraints in the space of quantum state. The novel approach can not only reproduce various established entanglement criteria, it may as well brings about some new results, possessing obvious advantages for certain bound entangled states and the high dimensional Werner states. Moreover, it is found that criteria obtained in our approach can be directly transformed into entanglement witness operators.https://quantum-journal.org/papers/q-2025-05-06-1734/pdf/ |
| spellingShingle | Ma-Cheng Yang Cong-Feng Qiao An Effective Way to Determine the Separability of Quantum State Quantum |
| title | An Effective Way to Determine the Separability of Quantum State |
| title_full | An Effective Way to Determine the Separability of Quantum State |
| title_fullStr | An Effective Way to Determine the Separability of Quantum State |
| title_full_unstemmed | An Effective Way to Determine the Separability of Quantum State |
| title_short | An Effective Way to Determine the Separability of Quantum State |
| title_sort | effective way to determine the separability of quantum state |
| url | https://quantum-journal.org/papers/q-2025-05-06-1734/pdf/ |
| work_keys_str_mv | AT machengyang aneffectivewaytodeterminetheseparabilityofquantumstate AT congfengqiao aneffectivewaytodeterminetheseparabilityofquantumstate AT machengyang effectivewaytodeterminetheseparabilityofquantumstate AT congfengqiao effectivewaytodeterminetheseparabilityofquantumstate |