Holevo bound of entropic uncertainty in Schwarzschild spacetime
Abstract For a pair of incompatible quantum measurements, the total uncertainty can be bounded by a state-independent constant. However, such a bound can be violated if the quantum system is entangled with another quantum system (called memory); the quantum correlation between the systems can reduce...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6026-3 |
| _version_ | 1819132589285310464 |
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| author | Jin-Long Huang Wen-Cong Gan Yunlong Xiao Fu-Wen Shu Man-Hong Yung |
| author_facet | Jin-Long Huang Wen-Cong Gan Yunlong Xiao Fu-Wen Shu Man-Hong Yung |
| author_sort | Jin-Long Huang |
| collection | DOAJ |
| description | Abstract For a pair of incompatible quantum measurements, the total uncertainty can be bounded by a state-independent constant. However, such a bound can be violated if the quantum system is entangled with another quantum system (called memory); the quantum correlation between the systems can reduce the measurement uncertainty. On the other hand, in a curved spacetime, the presence of the Hawking radiation can reduce quantum correlation. The interplay of quantum correlation in the curved spacetime has become an interesting arena for studying uncertainty relations. Here we demonstrate that the bounds of the entropic uncertainty relations, in the presence of memory, can be formulated in terms of the Holevo quantity, which limits how much information can be encoded in a quantum system. Specifically, we considered examples with Dirac fields with and without spin, near the event horizon of a Schwarzschild black hole, the Holevo bound provides a better bound than the previous bound based on the mutual information. Furthermore, as the memory moves away from the black hole, the difference between the total uncertainty and the new lower bound remains a constant, not depending on any property of the black hole. |
| first_indexed | 2024-12-22T09:33:48Z |
| format | Article |
| id | doaj.art-2aeaa7bd301b447a87a306ca7d7710f3 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-22T09:33:48Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-2aeaa7bd301b447a87a306ca7d7710f32022-12-21T18:30:52ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-07-017871810.1140/epjc/s10052-018-6026-3Holevo bound of entropic uncertainty in Schwarzschild spacetimeJin-Long Huang0Wen-Cong Gan1Yunlong Xiao2Fu-Wen Shu3Man-Hong Yung4Department of Physics, Southern University of Science and TechnologyDepartment of Physics, Nanchang UniversityDepartment of Mathematics and Statistics and Institute for Quantum Science and Technology, University of CalgaryDepartment of Physics, Nanchang UniversityInstitute for Quantum Science and Engineering and Department of Physics, Southern University of Science and TechnologyAbstract For a pair of incompatible quantum measurements, the total uncertainty can be bounded by a state-independent constant. However, such a bound can be violated if the quantum system is entangled with another quantum system (called memory); the quantum correlation between the systems can reduce the measurement uncertainty. On the other hand, in a curved spacetime, the presence of the Hawking radiation can reduce quantum correlation. The interplay of quantum correlation in the curved spacetime has become an interesting arena for studying uncertainty relations. Here we demonstrate that the bounds of the entropic uncertainty relations, in the presence of memory, can be formulated in terms of the Holevo quantity, which limits how much information can be encoded in a quantum system. Specifically, we considered examples with Dirac fields with and without spin, near the event horizon of a Schwarzschild black hole, the Holevo bound provides a better bound than the previous bound based on the mutual information. Furthermore, as the memory moves away from the black hole, the difference between the total uncertainty and the new lower bound remains a constant, not depending on any property of the black hole.http://link.springer.com/article/10.1140/epjc/s10052-018-6026-3 |
| spellingShingle | Jin-Long Huang Wen-Cong Gan Yunlong Xiao Fu-Wen Shu Man-Hong Yung Holevo bound of entropic uncertainty in Schwarzschild spacetime European Physical Journal C: Particles and Fields |
| title | Holevo bound of entropic uncertainty in Schwarzschild spacetime |
| title_full | Holevo bound of entropic uncertainty in Schwarzschild spacetime |
| title_fullStr | Holevo bound of entropic uncertainty in Schwarzschild spacetime |
| title_full_unstemmed | Holevo bound of entropic uncertainty in Schwarzschild spacetime |
| title_short | Holevo bound of entropic uncertainty in Schwarzschild spacetime |
| title_sort | holevo bound of entropic uncertainty in schwarzschild spacetime |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-6026-3 |
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