标题： 量子能量传输中的量子关联鲁棒性 显示英文标题

标题： Robustness of quantum correlation in quantum energy teleportation

摘要： 我们利用量子失谐而非传统使用的纠缠熵来展示量子能量传输（QET）协议中量子关联的演化。在QET协议中，当重复进行局域观测和条件操作时，由于混合态的统计生成，量子关联变得非平凡。本文中，我们将量子失谐作为混合态中量子关联的一种度量，并研究了它与被传输能量及相变之间的关系。在爱丽丝和鲍勃执行QET的过程中，人们预期爱丽丝对量子态的测量会完全破坏爱丽丝和鲍勃之间的纠缠，从而导致量子关联消失。然而，与这一预期相反，使用量子失谐表明在整个QET过程中量子关联并未消失。为了证明QET在各种相结构下量子关联的稳健性，我们使用了几种基准模型进行了数值分析，包括Nambu-Jona-Lasinio（NJL）模型，该模型同时具有手征化学势和化学势，可用于研究模拟左、右夸克之间手征不平衡的相结构。在我们研究的所有情况下，量子失谐表现出了相变的阶参量特性。 显示英文摘要

摘要： We present the evolution of quantum correlation in the quantum energy teleportation (QET) protocol using quantum discord, instead of the traditionally used entanglement entropy. In the QET protocol, where local observations and conditional operations are repeated, quantum correlations become nontrivial because of the statistical creation of mixed states. In this paper, we use quantum discord as a measure of quantum correlation in mixed states and investigate its relationship to teleported energy and phase transitions. During the process of Alice and Bob performing QET, one would expect that the entanglement between Alice and Bob is completely broken by Alice's measurement of the quantum state, and thus the quantum correlation disappears. However, contrary to this expectation, it is shown using quantum discord that the quantum correlation does not disappear during the entire process of QET. To demonstrate the robustness of the quantum correlation in QET at various phase structures, we perform the numerical analysis using several benchmark models including the Nambu-Jona-Lasino (NJL) model with both the chiral chemical potential and the chemical potential, which are useful to study the phase structures mimicking the chiral imbalance between left- and right- quarks coupled to the chirality density operator. In all cases we studied, the quantum discord behaved as an order parameter of the phase transition.