Entropic uncertainty relation of a qubit-qutrit Heisenberg spin model and its steering |
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Authors: | Feng-He Ju Zuo-Yuan Zhang Jin-Ming Liu |
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Institution: | State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China |
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Abstract: | We investigate the quantum-memory-assisted entropic uncertainty relation (QMA-EUR) in a Heisenberg XYZ mixed-spin (1/2, 1) model. Coupling strength, Dzyaloshinskii-Moriya (DM) interaction and inhomogeneous magnetic field, respectively, contributing to QMA-EUR by a thermal entanglement in the hybrid-spin model are studied in detail. Furthermore, we compare the uncertainty of the bipartite hybrid model with those of qubit-qubit and qutrit-qutrit systems. Meanwhile, the effects of local PT-symmetric operation and weak measurement on the steering of entropic uncertainty are analyzed. We find that the local PT-symmetric operation can reduce the entropic uncertainty, and the entropic uncertainty can also be decreased by weak measurement reversal. |
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Keywords: | entropic uncertainty relation Heisenberg XYZ model weak measurement PT-symmetry |
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