In this work, we study the dynamics of entropy-based uncertainty under a hybrid-spin (1, 1/2) Heisenberg XXZ model with an inhomogeneous magnetic field. Specifically, we examine the effect of the magnetic field strength B and coupling strength J of the two spins on the measurement uncertainty and the entanglement of the considered system, and nontrivially reveal that the magnetic field and coupling strength are responsible for the uncertainty dynamics associated with incompatible measurements. Interestingly, the entropic uncertainty eventually reaches a stable value with growing $\left|B\right|$, and the entanglement quantified by negativity eventually reduces to zero. Contrarily, a larger coupling constant $\left|J\right|$ effectively reduces uncertainty. In addition, the effects of temperature T also are evaluated in the current framework. Furthermore, the relationship between uncertainty and entanglement is discussed; we claim that negativity and entropic uncertainty are approximately inversely correlated. Therefore, our observations are expected to be helpful in illustrating the dynamical entropy-based uncertainty in a hybrid Heisenberg spin-chain model and thus would be useful for realistic quantum information processing.

在这项工作中，我们研究了具有非均匀磁场的混合自旋（1，1/2）Heisenberg XXZ模型下基于熵的不确定性的动力学。具体来说，我们研究了两个自旋的磁场强度B和耦合强度J对测量不确定度和所考虑系统的纠缠的影响，并且很容易地揭示出磁场和耦合强度是造成与测量相关的不确定性动力学的原因不兼容的测量。有趣的是，熵不确定性最终会随着增长而达到稳定值$\left|乙\right|$，并且通过负性量化的纠缠最终减少为零。相反，较大的耦合常数$\left|Ĵ\right|$有效减少不确定性。此外，在当前框架中还评估了温度T的影响。此外，讨论了不确定性和纠缠之间的关系。我们声称负性和熵不确定性大致成反比。因此，我们的观察结果有望有助于说明混合海森堡自旋链模型中基于动态熵的不确定性，因此对于现实的量子信息处理将是有用的。