Quantum-memory-assisted entropic uncertainty relation in a Heisenberg XYZ chain with an inhomogeneous magnetic field
Quantum-memory-assisted entropic uncertainty relation in a Heisenberg XYZ chain with an inhomogeneous magnetic field
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具有非均匀磁场的海森堡 XYZ 链中的量子记忆辅助熵不确定性关系
DOI：
10.1088/1612-202x/aa6f85
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发表时间：
2017-05
影响因子：
1.7
通讯作者：
Ye Liu
中科院分区：
文献类型：
--
作者：
Wang Dong;Huang Aijun;Ming Fei;Sun Wenyang;Lu Heping;Liu Chengcheng;Ye Liu
不确定性原理提供了一个非平凡的界限，以揭示量子系统中一对不相容的可观测量的测量结果的精度。因此，量子精密测量在量子信息处理领域具有重要意义。本文研究了两量子比特海森堡XYZ自旋链中的量子记忆辅助熵测不准关系（QMA-EUR）。具体来说，我们观察到QMA-EUR的动力学在一个现实的模型有两个相关的网站连接的热纠缠在自旋链与非均匀磁场。结果表明，温度、外加磁场和场的不均匀性都能使热纠缠度降低，从而提高测量的不确定度;温度越高、磁场越强或场的不均匀性越大，测量的不确定度越大。此外，还发现铁磁性（J<0）和反铁磁性（boldsymbol{0} right）$？（J>0）链。此外，我们还验证了测量不确定度与二体自旋系统的纯度成显著的反相关关系，纯度越高，测量不确定度越小，反之亦然。因此，我们的观察可能会提供一个更好的理解海森堡自旋链中的熵不确定性的动力学，从而揭示了在多功能系统的框架下，特别是固体状态的量子精密测量。
The uncertainty principle provides a nontrivial bound to expose the precision for the outcome of the measurement on a pair of incompatible observables in a quantum system. Therefore, it is of essential importance for quantum precision measurement in the area of quantum information processing. Herein, we investigate quantum-memory-assisted entropic uncertainty relation (QMA-EUR) in a two-qubit Heisenberg XYZ spin chain. Specifically, we observe the dynamics of QMA-EUR in a realistic model there are two correlated sites linked by a thermal entanglement in the spin chain with an inhomogeneous magnetic field. It turns out that the temperature, the external inhomogeneous magnetic field and the field inhomogeneity can lift the uncertainty of the measurement due to the reduction of the thermal entanglement, and explicitly higher temperature, stronger magnetic field or larger inhomogeneity of the field can result in inflation of the uncertainty. Besides, it is found that there exists distinct dynamical behaviors of the uncertainty for ferromagnetism (J<0) and antiferromagnetism \boldsymbol{0}\right)$ ?>(J>0) chains. Moreover, we also verify that the measuring uncertainty is dramatically anti-correlated with the purity of the bipartite spin system, the greater purity can result in the reduction of the measuring uncertainty, vice versa. Therefore, our observations might provide a better understanding of the dynamics of the entropic uncertainty in the Heisenberg spin chain, and thus shed light on quantum precision measurement in the framework of versatile systems, particularly solid states.
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作者：
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