Hawking effect on the universal relationship between quantum steering and the first-order coherence in Schwarzschild spacetime
Quantum steering and coherence are fundamental resources for quantum computation and quantum communication. Understanding their interplay under different environments is crucial for optimizing quantum information tasks. In this letter, we derive a complementary relation between the steering criterio...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-09-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325005696 |
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| author | Xiao Wang Xiao-Gang Fan Dong Wang Liu Ye |
| author_facet | Xiao Wang Xiao-Gang Fan Dong Wang Liu Ye |
| author_sort | Xiao Wang |
| collection | DOAJ |
| description | Quantum steering and coherence are fundamental resources for quantum computation and quantum communication. Understanding their interplay under different environments is crucial for optimizing quantum information tasks. In this letter, we derive a complementary relation between the steering criterion based on infinite measurements and the first-order coherence. Then, we research Hawking effect on our complementarity formula in Schwarzschild spacetime. Quantum steering always decreases as the Hawking temperature increases, but the complementary relation between quantum steering and the first-order coherence for two-qubit states is satisfied, which means that quantum resources have been redistributed in this case. Our derived equation offers the convenient analytical solution of the steering criterion based on infinite measurements for arbitrary two-qubit states only using the first-order coherence and the purity of the state, thereby opening up new possibilities for further research on quantum steering. This research not only deepens our understanding on the relationship between quantum steering and coherence, but also provides a more accessible method for quantifying steering in two-qubit systems-a significant simplification for experimental implementations. |
| format | Article |
| id | doaj-art-e7f5f55993b94aa8969185732af4b942 |
| institution | Kabale University |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-e7f5f55993b94aa8969185732af4b9422025-08-22T04:54:55ZengElsevierPhysics Letters B0370-26932025-09-0186813980810.1016/j.physletb.2025.139808Hawking effect on the universal relationship between quantum steering and the first-order coherence in Schwarzschild spacetimeXiao Wang0Xiao-Gang Fan1Dong Wang2Liu Ye3School of Physics, optoelectronics engineering, Anhui University, Hefei, 230601, ChinaKey Laboratory of Functional Materials and Devices for Informatics of Anhui Educational Institutions, Fuyang Normal University, Fuyang, 236037, Anhui, ChinaSchool of Physics, optoelectronics engineering, Anhui University, Hefei, 230601, ChinaCorresponding authors.; School of Physics, optoelectronics engineering, Anhui University, Hefei, 230601, ChinaQuantum steering and coherence are fundamental resources for quantum computation and quantum communication. Understanding their interplay under different environments is crucial for optimizing quantum information tasks. In this letter, we derive a complementary relation between the steering criterion based on infinite measurements and the first-order coherence. Then, we research Hawking effect on our complementarity formula in Schwarzschild spacetime. Quantum steering always decreases as the Hawking temperature increases, but the complementary relation between quantum steering and the first-order coherence for two-qubit states is satisfied, which means that quantum resources have been redistributed in this case. Our derived equation offers the convenient analytical solution of the steering criterion based on infinite measurements for arbitrary two-qubit states only using the first-order coherence and the purity of the state, thereby opening up new possibilities for further research on quantum steering. This research not only deepens our understanding on the relationship between quantum steering and coherence, but also provides a more accessible method for quantifying steering in two-qubit systems-a significant simplification for experimental implementations.http://www.sciencedirect.com/science/article/pii/S0370269325005696Quantum steeringQuantum entanglementThe first-order conherenceQuantum correlationHawking effectSchwarzschild space |
| spellingShingle | Xiao Wang Xiao-Gang Fan Dong Wang Liu Ye Hawking effect on the universal relationship between quantum steering and the first-order coherence in Schwarzschild spacetime Physics Letters B Quantum steering Quantum entanglement The first-order conherence Quantum correlation Hawking effect Schwarzschild space |
| title | Hawking effect on the universal relationship between quantum steering and the first-order coherence in Schwarzschild spacetime |
| title_full | Hawking effect on the universal relationship between quantum steering and the first-order coherence in Schwarzschild spacetime |
| title_fullStr | Hawking effect on the universal relationship between quantum steering and the first-order coherence in Schwarzschild spacetime |
| title_full_unstemmed | Hawking effect on the universal relationship between quantum steering and the first-order coherence in Schwarzschild spacetime |
| title_short | Hawking effect on the universal relationship between quantum steering and the first-order coherence in Schwarzschild spacetime |
| title_sort | hawking effect on the universal relationship between quantum steering and the first order coherence in schwarzschild spacetime |
| topic | Quantum steering Quantum entanglement The first-order conherence Quantum correlation Hawking effect Schwarzschild space |
| url | http://www.sciencedirect.com/science/article/pii/S0370269325005696 |
| work_keys_str_mv | AT xiaowang hawkingeffectontheuniversalrelationshipbetweenquantumsteeringandthefirstordercoherenceinschwarzschildspacetime AT xiaogangfan hawkingeffectontheuniversalrelationshipbetweenquantumsteeringandthefirstordercoherenceinschwarzschildspacetime AT dongwang hawkingeffectontheuniversalrelationshipbetweenquantumsteeringandthefirstordercoherenceinschwarzschildspacetime AT liuye hawkingeffectontheuniversalrelationshipbetweenquantumsteeringandthefirstordercoherenceinschwarzschildspacetime |