Research Paper#Quantum Computing, Quantum Dynamics, Error Mitigation🔬 ResearchAnalyzed: Jan 3, 2026 19:48
Self-Healing of Trotter Errors in Quantum Dynamics
Analysis
This paper investigates the self-healing properties of Trotter errors in digitized quantum dynamics, particularly when using counterdiabatic driving. It demonstrates that self-healing, previously observed in the adiabatic regime, persists at finite evolution times when nonadiabatic errors are compensated. The research provides insights into the mechanism behind this self-healing and offers practical guidance for high-fidelity state preparation on quantum processors. The focus on finite-time behavior and the use of counterdiabatic driving are key contributions.
Key Takeaways
- •Self-healing of Trotter errors is shown to persist at finite evolution times.
- •Counterdiabatic driving is used to isolate and study discretization effects.
- •The paper provides an analytic upper bound on the finite-time Trotter error.
- •Results offer practical guidance for high-fidelity state preparation on quantum processors.
Reference
“The paper shows that self-healing persists at finite evolution times once nonadiabatic errors induced by finite-speed ramps are compensated.”