Reversible Framework for Quantum Resource Theories
Reversible Framework for Quantum Resource Theories
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DOI：
10.1103/physrevlett.115.070503
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发表时间：
2015-08-14
影响因子：
8.6
通讯作者：
Gour, Gilad
中科院分区：
文献类型：
--
作者：
Brandao, Fernando G. S. L.;Gour, Gilad
近年来，人们已经认识到，物理系统的性质，如纠缠，无热性和不对称性，可以被视为量子信息，热力学和其他物理领域的重要任务的资源。这种认识之后是特定量子资源理论（QRT）的发展，如纠缠理论，确定如何在某些限制下无法制备的量子态可以被操纵并用于规避限制。在这里，我们讨论了QRT的一般结构，并表明，在一些假设（如凸的自由状态集），QRT是渐近可逆的，如果它的一组允许的操作是最大的，也就是说，如果允许的操作是所有操作的集合，不产生（渐近）的资源。在这种情况下，渐近转换率是根据资源的正则化相对熵给出的，它是资源在许多状态副本的渐近极限中的唯一度量或量词。该度量也等于资源的对数鲁棒性的平滑版本。
In recent years it has been recognized that properties of physical systems such as entanglement, athermality, and asymmetry, can be viewed as resources for important tasks in quantum information, thermodynamics, and other areas of physics. This recognition was followed by the development of specific quantum resource theories (QRTs), such as entanglement theory, determining how quantum states that cannot be prepared under certain restrictions may be manipulated and used to circumvent the restrictions. Here we discuss the general structure of QRTs, and show that under a few assumptions (such as convexity of the set of free states), a QRT is asymptotically reversible if its set of allowed operations is maximal, that is, if the allowed operations are the set of all operations that do not generate (asymptotically) a resource. In this case, the asymptotic conversion rate is given in terms of the regularized relative entropy of a resource which is the unique measure or quantifier of the resource in the asymptotic limit of many copies of the state. This measure also equals the smoothed version of the logarithmic robustness of the resource.