论文标题
相对状态复杂性的全息解释
Holographic Interpretation of Relative State Complexity
论文作者
论文摘要
我们调查了一个高能量纯净状态的巨大$ n $ cft，并与$ m $弱相互交互的小型辅助系统相结合，并说辅助系统的相对状态复杂性在\ tocle contres contress上是全息偶性的，\ textit的计算成本是\ textit的\ textim fextim fextim fortem f textim \ textim contime。引力双重。鉴于这种情况，使用尼尔森的方法，提出了一种新的量子混乱的量度，以电路复杂性的进化来进行。它表明，研究辅助系统电路复杂性的演变可以教会我们有关大$ n $ cft的混乱性能。这种新的量子混乱诊断对蒸发黑洞的内部动力学具有重要意义，因为它暗示辐射的鹰云是伪随机的。
We investigate a large-$N$ CFT in a high-energy pure state coupled to a small auxiliary system of $M$ weakly-interacting degrees of freedom, and argue the relative state complexity of the auxiliary system is holographically dual to an effective low-energy notion of computational cost in the bulk, \textit{i.e.} to the minimal depth of the quantum circuit required to decode its gravitational dual. In light of this, using Nielsen's approach, a new measure of quantum chaos in terms of the evolution of circuit complexity is proposed. It suggests that studying the evolution of circuit complexity of the auxiliary system can teach us about the chaotic properties of the large-$N$ CFT. This new diagnostic for quantum chaos has important implications for the interior dynamics of evaporating black holes as it implies the radiated Hawking cloud is pseudorandom.
