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Quantum Simulation
Quantum Chemistry
State-dependent Trotter Limits and their approximations
arXiv
Authors: Daniel Burgarth, Niklas Galke, Alexander Hahn, Lauritz van Luijk
Year
2022
Paper ID
58832
Status
Preprint
Abstract Read
~2 min
Abstract Words
86
Citations
N/A
Abstract
The Trotter product formula is a key instrument in numerical simulations of quantum systems. However, computers cannot deal with continuous degrees of freedom, such as the position of particles in molecules, or the amplitude of electromagnetic fields. It is therefore necessary to discretize these variables to make them amenable to digital simulations. Here, we give sufficient conditions to conclude the validity of this approximate discretized physics. Essentially, it depends on the state-dependent Trotter error, for which we establish explicit bounds that are also of independent interest.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2022 reference point for readers tracking recent quantum research.
- The Trotter product formula is a key instrument in numerical simulations of quantum systems.
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