Integrable Digital Quantum Simulation: Generalized Gibbs Ensembles and Trotter Transitions
Integrable Digital Quantum Simulation: Generalized Gibbs Ensembles and Trotter Transitions
The Trotter-Suzuki decomposition is a promising avenue for digital quantum simulation (DQS), approximating continuous-time dynamics by discrete Trotter steps of duration τ. Recent work suggested that DQS is typically characterized by a sharp Trotter transition: when τ is increased beyond a threshold value, approximation errors become uncontrolled at large times …