He Gang-Gang, Zhang Fu-Lin
Department of Physics, School of Science, Tianjin University, Tianjin 300072, China.
Phys Rev E. 2022 Jul;106(1-1):014119. doi: 10.1103/PhysRevE.106.014119.
A Maxwell demon can reduce the entropy of a quantum system by performing measurements on its environment. The nonsignaling theorem prevents the demon from affecting the average state of the system. We study the preparations of quantum correlations from a system qubit and an auxiliary qubit, assisted by a demon who obtains information of the system qubit from measurements on its environment. The demon can affect the postmeasured states of system by choosing different measurements, which establishes the relationships between quantum steering and other correlations in the thermodynamic framework. We present the optimal protocols for creating mutual information, entanglement, and Bell-nonlocality. These maximal correlations are found to relate exactly to the steerable boundary of the system-environment state with maximally mixed marginals. We also present upper bounds of the prepared correlations by utilizing classical environment-system correlation, which can be regarded as steering-type inequalities bounding the correlations created with the aid of classical demons.
麦克斯韦妖可以通过对量子系统的环境进行测量来降低其熵。无信号定理阻止了妖对系统平均状态的影响。我们研究了在一个妖的辅助下，从一个系统量子比特和一个辅助量子比特制备量子关联，该妖通过对系统量子比特的环境进行测量来获取其信息。妖可以通过选择不同的测量来影响系统的测量后状态，这在热力学框架中建立了量子导引与其他关联之间的关系。我们给出了创建互信息、纠缠和贝尔非定域性的最优协议。发现这些最大关联恰好与具有最大混合边缘的系统 - 环境态的可导引边界相关。我们还利用经典环境 - 系统关联给出了制备关联的上界，这可以被视为限制借助经典妖创建的关联的导引型不等式。
