论文标题
量子炒随机电路系统的信息检索中的相变状行为
Phase-transition-like behavior in information retrieval of a quantum scrambled random circuit system
论文作者
论文摘要
混沌量子系统中的信息将在整个系统上争夺，从而阻止任何局部测量重建它。争夺动力学是了解广泛的量子多体系统的关键。在这里，我们使用holevo信息来量化扰动动力学，该动态显示出类似相变的行为。当将长时间的随机Clifford电路应用于大型系统时，无法从小于系统大小一半的子系统中恢复任何信息。当超过系统尺寸的一半时，存储的信息的量每量音的两个经典信息增长，直到通过另一种急剧的单分析变化饱和为止。我们还研究过渡点附近的关键行为。最后，我们使用连贯的信息来量化系统中量子信息的加扰，该信息显示出类似的相位转换行为。
Information in a chaotic quantum system will scramble across the system, preventing any local measurement from reconstructing it. The scrambling dynamics is key to understanding a wide range of quantum many-body systems. Here we use Holevo information to quantify the scrambling dynamics, which shows a phase-transition-like behavior. When applying long random Clifford circuits to a large system, no information can be recovered from a subsystem of less than half the system size. When exceeding half the system size, the amount of stored information grows by two bits of classical information per qubit until saturation through another sharp unanalytical change. We also study critical behavior near the transition points. Finally, we use coherent information to quantify the scrambling of quantum information in the system, which shows similar phase-transition-like behavior.
