State-dependent Trotter limits and their approximations
Daniel Burgarth, Niklas Galke, Alexander Hahn, Lauritz van Luijk
Abstract
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.
Topics & Concepts
DiscretizationDegrees of freedom (physics and chemistry)AmplitudeClassical electromagnetismDiscretization errorPhysicsPosition (finance)Applied mathematicsStatistical physicsState (computer science)Classical mechanicsQuantum mechanicsMathematicsMathematical analysisAlgorithmFinanceEconomicsQuantum Computing Algorithms and ArchitectureLow-power high-performance VLSI designAnalog and Mixed-Signal Circuit Design