The first-order Trotter decomposition in the dynamical-invariant basis

Understand

The Trotter decomposition is a basic approach to Hamiltonian simulation (digital quantum simulation).

• The first-order Trotter decomposition is the simplest one, whose deviations from target dynamics are of the first order of a small coefficient in terms of the infidelity.
• In this paper, we consider the first-order Trotter decomposition in the dynamical-invariant basis.
• By using a state-dependent inequality, we point out that deviations of this decomposition are of the second order of a small coefficient.