Chapman Adrian, Miyake Akimasa
Center for Quantum Information and Control, Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):062125. doi: 10.1103/PhysRevE.92.062125. Epub 2015 Dec 15.
We study an autonomous quantum system which exhibits refrigeration under an information-work trade-off like a Maxwell demon. The system becomes correlated as a single "demon" qubit interacts sequentially with memory qubits while in contact with two heat reservoirs of different temperatures. Using strong subadditivity of the von Neumann entropy, we derive a global Clausius inequality to show thermodynamic advantages from access to correlated information. It is demonstrated, in a matrix product density operator formalism, that our demon can simultaneously realize refrigeration against a thermal gradient and erasure of information from its memory, which is impossible without correlations. The phenomenon can be even enhanced by the presence of quantum coherence.
我们研究了一个自治量子系统，该系统在类似麦克斯韦妖的信息 - 功权衡下表现出制冷效应。当单个“妖”量子比特在与两个不同温度的热库接触时，依次与存储量子比特相互作用时，系统变得相关。利用冯·诺依曼熵的强次可加性，我们推导出一个全局克劳修斯不等式，以展示从获取相关信息中获得的热力学优势。在矩阵乘积密度算子形式体系中表明，我们的妖可以同时实现逆热梯度制冷以及从其存储器中擦除信息，而没有相关性这是不可能的。量子相干的存在甚至可以增强这种现象。
