论文标题
量子争夺和相互信息的增长
Quantum scrambling and the growth of mutual information
论文作者
论文摘要
量子信息争夺是指量子信息的局部可回收性的丧失，这发现从高能量物理学到量子计算广泛关注。在目前的分析中，我们提出了开发综合框架的可能出发点，以供乱扰的热力学。为此，我们证明，由互信息量化的纠缠的增长受到超时订购的相关器的时间依赖性变化的限制。我们进一步表明，相互信息的增加速率可以受到局部熵生产的总和的上限，以及量子系统的单独分区之间的信息流而产生的交换熵。我们为离子陷阱系统提供了我们的结果，该系统最近用于验证实验中的信息和Sachdev-ye-Kitaev模型。
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.
