A comparative study of LQU and LQFI in general qubit-qutrit axially symmetric states
Abstract We derive the compact closed forms of local quantum uncertainty (LQU) and local quantum Fisher information (LQFI) for hybrid qubit-qutrit axially symmetric (AS) states. This allows us to study the quantum correlations in detail and present some essentially novel results for spin-(1/2, 1) sy...
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Nature Portfolio
2025-01-01
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| Online Access: | https://doi.org/10.1038/s41598-024-84857-4 |
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| author | M. A. Yurischev Saeed Haddadi Mehrdad Ghominejad |
| author_facet | M. A. Yurischev Saeed Haddadi Mehrdad Ghominejad |
| author_sort | M. A. Yurischev |
| collection | DOAJ |
| description | Abstract We derive the compact closed forms of local quantum uncertainty (LQU) and local quantum Fisher information (LQFI) for hybrid qubit-qutrit axially symmetric (AS) states. This allows us to study the quantum correlations in detail and present some essentially novel results for spin-(1/2, 1) systems, the Hamiltonian of which contains ten independent types of physically important parameters. As an application of the derived formulas, we study the behavior of these two quantum correlation measures at thermal equilibrium. New features are observed in their behavior that are important for quantum information processing. Specifically, cascades of sudden changes in the behavior of LQU and LQFI are found with a smooth change in temperature or interaction parameters. Interestingly, in some cases, sudden transitions are observed in the behavior of LQU but not in LQFI, and vice versa. Moreover, our compact formulas open a way to apply them to other problems, for instance, when investigating the environmental effects on quantum correlations in open systems. |
| format | Article |
| id | doaj-art-e1443679ee724ed582727b6b35da728c |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-e1443679ee724ed582727b6b35da728c2025-01-19T12:23:24ZengNature PortfolioScientific Reports2045-23222025-01-0115111510.1038/s41598-024-84857-4A comparative study of LQU and LQFI in general qubit-qutrit axially symmetric statesM. A. Yurischev0Saeed Haddadi1Mehrdad Ghominejad2Federal Research Center of Problems of Chemical Physics and Medicinal Chemistry, Russian Academy of SciencesFaculty of Physics, Semnan UniversityFaculty of Physics, Semnan UniversityAbstract We derive the compact closed forms of local quantum uncertainty (LQU) and local quantum Fisher information (LQFI) for hybrid qubit-qutrit axially symmetric (AS) states. This allows us to study the quantum correlations in detail and present some essentially novel results for spin-(1/2, 1) systems, the Hamiltonian of which contains ten independent types of physically important parameters. As an application of the derived formulas, we study the behavior of these two quantum correlation measures at thermal equilibrium. New features are observed in their behavior that are important for quantum information processing. Specifically, cascades of sudden changes in the behavior of LQU and LQFI are found with a smooth change in temperature or interaction parameters. Interestingly, in some cases, sudden transitions are observed in the behavior of LQU but not in LQFI, and vice versa. Moreover, our compact formulas open a way to apply them to other problems, for instance, when investigating the environmental effects on quantum correlations in open systems.https://doi.org/10.1038/s41598-024-84857-4Qubit-qutrit systemAxial U(1) symmetry groupLocal quantum uncertaintyLocal quantum Fisher information |
| spellingShingle | M. A. Yurischev Saeed Haddadi Mehrdad Ghominejad A comparative study of LQU and LQFI in general qubit-qutrit axially symmetric states Scientific Reports Qubit-qutrit system Axial U(1) symmetry group Local quantum uncertainty Local quantum Fisher information |
| title | A comparative study of LQU and LQFI in general qubit-qutrit axially symmetric states |
| title_full | A comparative study of LQU and LQFI in general qubit-qutrit axially symmetric states |
| title_fullStr | A comparative study of LQU and LQFI in general qubit-qutrit axially symmetric states |
| title_full_unstemmed | A comparative study of LQU and LQFI in general qubit-qutrit axially symmetric states |
| title_short | A comparative study of LQU and LQFI in general qubit-qutrit axially symmetric states |
| title_sort | comparative study of lqu and lqfi in general qubit qutrit axially symmetric states |
| topic | Qubit-qutrit system Axial U(1) symmetry group Local quantum uncertainty Local quantum Fisher information |
| url | https://doi.org/10.1038/s41598-024-84857-4 |
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