Thermal non-classical correlation via skew information, quantum Fisher information, and quantum teleportation of a spin-1/2 Heisenberg trimer system
LPHE-Modeling and Simulation, Faculty of Sciences, Mohammed V University, Rabat, Morocco
2 Laboratory of R &D in Engineering Sciences, Faculty of Sciences and Techniques Al-Hoceima, Abdelmalek Essaadi University, Tétouan, Morocco
3 Department of Theoretical Physics and Astrophysics, Faculty of Science, P. J. Safarik University, Park Angelinum 9, 040 01, Kosice, Slovakia
4 ICTP, Strada Costiera 11, 34151, Trieste, Italy
5 Department of Physics, Faculty of Sciences, University Ibn Tofail, Kenitra, Morocco
Accepted: 16 September 2022
Published online: 29 September 2022
In the present work, we carry out a description of multi-qubit quantum correlations because of their distinguished physical prominence in quantum information processing and quantum communication. To this end, we have studied quantum correlations within pure and mixed states of a tripartite quantum system which can be referred to as a spin-1/2 Heisenberg trimer with the exchange anisotropy and cyclic three-spin interaction in the presence of the external magnetic field at zero as well as nonzero temperature. Our study reveals that the non-classical correlations quantified by means of local quantum uncertainty and the entanglement quantified in terms of negativity depend decisively on the intrinsic parameters as for instance the exchange anisotropy and cyclic three-spin interaction parameters in addition to extrinsic parameters such as temperature and magnetic field. A variety of applications of this model in quantum information theory and quantum estimation are also studied by means of quantum Fisher information and quantum teleportation. It has been shown that the average fidelity and quantum Fisher information measures are basically enhanced when the temperature and magnetic field parameters vanish.
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