Gibbs-preserving maps outperform thermal operations in the quantum regime
Gibbs-preserving maps outperform thermal operations in the quantum regime
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DOI：
10.1088/1367-2630/17/4/043003
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发表时间：
2015-04-02
影响因子：
3.3
通讯作者：
Renner, Renato
中科院分区：
文献类型：
--
作者：
Faist, Philippe;Oppenheim, Jonathan;Renner, Renato
在这篇简短的论文中，我们比较了两个框架来描述量子热力学中可能的操作。一个框架考虑热操作--保存能量的幺正。另一个框架考虑了在给定温度下保持吉布斯状态的所有映射。热操作保持吉布斯状态;因此，一个自然出现的问题是这两个框架是否等效。经典上，这是真吉布斯保持映射并不比热运算更强大。在这里，我们表明，这不再适用于量子制度：吉布斯保持映射可以产生相干叠加的能级，而热操作不能。这个差距对澄清量子热力学的数学框架有影响。
In this brief paper, we compare two frameworks for characterizing possible operations in quantum thermodynamics. One framework considers thermal operations-unitaries which conserve energy. The other framework considers all maps which preserve the Gibbs state at a given temperature. Thermal operations preserve the Gibbs state; hence a natural question which arises is whether the two frameworks are equivalent. Classically, this is true-Gibbs-preserving maps are no more powerful than thermal operations. Here, we show that this no longer holds in the quantum regime: a Gibbs-preserving map can generate coherent superpositions of energy levels while thermal operations cannot. This gap has an impact on clarifying a mathematical framework for quantum thermodynamics.