Quantum information scrambling refers to the loss of local recoverability of quantum information, which has found widespread attention from high energy physics to quantum computing. In the present analysis we propose a possible starting point for the development of a comprehensive framework for the thermodynamics of scrambling. To this end, we prove that the growth of entanglement as quantified by the mutual information is lower bounded by the time-dependent change of out-of-time-ordered correlator. We further show that the rate of increase of the mutual information can be upper bounded by the sum of local entropy productions, and the exchange entropy arising from the flow of information between separate partitions of a quantum system. Our results are illustrated for the ion trap system, that was recently used to verify information scrambling in an experiment, and for the Sachdev–Ye–Kitaev model.

中文翻译：

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量子争夺与互信息的增长

量子信息加扰是指量子信息在本地的可恢复性丧失，这引起了从高能物理学到量子计算的广泛关注。在目前的分析中，我们为加扰热力学的综合框架的发展提出了一个可能的起点。为此，我们证明了由互信息量化的纠缠的增长受时间顺序相关器的随时间变化的限制较低。我们进一步表明，互信息的增加速率可以由局部熵产生之和以及由量子系统的各个分区之间的信息流产生的交换熵来上限。我们的结果说明了离子阱系统，