State-dependent Trotter limits and their approximations
Daniel Klaus Burgarth, Niklas Galke, Alexander Hahn, Lauritz van Luijk · Physical Review A · 2023
This paper gives sufficient conditions to conclude the validity of digital simulations involving the Trotter product formula for finite discretizations of continuous operators. Essentially, it depends on the state-dependent Trotter error, for which it establishes explicit bounds that are also of independent interest.