Entropic uncertainty relation of a qubit–qutrit Heisenberg spin model and its steering

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.

Characterizing quantum nonlocalities under the Heisenberg XYZ spin model with Dzyaloshinskii–Moriya interaction

“…For this reason, the explorations concerning the NAQC under different models are significant in practice, and several works are devoted to investigating the relevant contents [42][43][44][45]. Among different physical models, Heisenberg spin models are an important emerging field for realizing quantum communication and quantum computing due to their crucial scalability [46][47][48][49][50]. The interactions of qubits in many systems can be described by this model [51][52][53].…”