Ordering of Trotterization: Impact on Errors in Quantum Simulation of Electronic Structure

Understand

Trotter-Suzuki decompositions are frequently used in the quantum simulation of quantum chemistry.

• They transform the evolution operator into a form implementable on a quantum device, while incurring an error---the Trotter error.
• The Trotter error can be made arbitrarily small by increasing the Trotter number.
• However, this increases the length of the quantum circuits required, which may be impractical.