Scalable quantum circuit simulation of a chaotic Ising chain

Abstract

The recent advancements in out-of-time-ordered correlator (OTOC) measurements have provided a promising pathway to explore quantum chaos and information scrambling. However, despite recent advancements, their experimental realization remains challenging due to the complexity of implementing backward time evolution. Here, we present a scalable quantum circuit combined with the interferometric protocol, offering a more efficient framework for OTOC measurement. Using this method, we simulate commutator growth in integrable and chaotic regimes of a 9-qubit Ising chain. Our Trotterized circuit achieves errors below $10^{-11}$ with 4th-order Trotterization and performs well even with lower-order Trotterization approximations. We believe, this approach paves the way for studying information dynamics, highly entangled quantum systems, and complex observables efficiently.