Fully Analog Measurement of Out-of-Time-Ordered Correlators with Rydberg Arrays

Out-of-Time-Ordered Correlators (OTOCs), the main tool for diagnosing quantum chaos and information scrambling, have attracted significant interest from the quantum computing community since their introduction, with numerous demonstrations of their measurement on various quantum devices. However, the measurement of OTOCs remains highly challenging to implement on analog quantum computers due to the requirement of backward time evolution. In this talk, we will implement a fully analog randomized measurement protocol that doesn't require backwards time evolution to measure OTOCs on Aquila, QuEra's Rydberg-atom-based quantum computer. We will analyze the dependence of the protocol on various parameters governing the randomized quench procedure and demonstrate that it successfully captures the characteristic light-cone behavior at two distinct points in the Rydberg phase space.