论文标题
互动开始时熵的动力学
The Dynamics of Entropies at the Onset of Interactions
论文作者
论文摘要
在两个最初独立的系统之间的相互作用开始时，每个系统倾向于会出现其N-Renyi熵的增加，例如其von Neumann熵（n = 1）及其混合性（n = 2）。我们在这里询问系统的哪些属性确定其Renyi熵的增加的速度，因此，该系统对纠缠的敏感程度有多敏感。我们发现，相互作用中N-Renyi熵增加的速率取决于我们称该系统的N-差异性的数量。 2-差异与2个词相干性的概念密切相关，因为它太量化了密度矩阵相对于参考操作员的特征性的偏高的程度。然而，在资源理论意义上，2-差异并不是一个连贯的单调，因为它也取决于参考运算符的特征值。正是对参考算子的特征值的额外敏感性，在这里，相互作用的哈密顿量可以量化相互作用中的熵产生速率。我们以光 - 摩擦相互作用为例举例说明，我们预计在开始相互作用时两个系统交换经典和量子信息的速率的研究中会有应用。
At the onset of an interaction between two initially independent systems, each system tends to experience an increase in its n-Renyi entropies, such as its von Neumann entropy (n = 1) and its mixedness (n = 2). We here ask which properties of a system determine how quickly its Renyi entropies increase and, therefore, how sensitive the system is to becoming entangled. We find that the rate at which the n-Renyi entropy increases in an interaction is determined by a quantity which we term the n-fragility of the system. The 2-fragility is closely related to the notion of 2-norm coherence, in that it too quantifies the extent to which a density matrix is off-diagonal with respect to the eigenbasis of a reference operator. Nevertheless, the 2-fragility is not a coherence monotone in the resource theoretic sense since it depends also on the eigenvalues of the reference operator. It is this additional sensitivity to the eigenvalues of the reference operator, here the interaction Hamiltonian, which enables the 2-fragility to quantify the rate of entropy production in interactions. We give an example using the light-matter interaction and we anticipate applications to the study of the rates at which two systems exchange classical and quantum information when starting to interact.
