4 papers · 1 filter
A Monte Carlo approach to bound Trotter error
Nick S. Blunt, Aleksei V. Ivanov, Andreas Juul Bay-Smidt
Trotter product formulas are a natural and powerful approach to perform quantum simulation. However, the error analysis of product formulas is challenging, and their cost is often…
Pauli Decomposition via the Fast Walsh-Hadamard Transform
Timothy N. Georges, Bjorn K. Berntson, Christoph Sünderhauf +1
The decomposition of a square matrix into a sum of Pauli strings is a classical pre-processing step required to realize many quantum algorithms. Such a decomposition requires signi…
Quantum Computation of Electronic Structure with Projector Augmented-Wave Method and Plane Wave Basis Set
Aleksei V. Ivanov, Andrew Patterson, Marius Bothe +6
Quantum simulation of materials is a promising application area of quantum computers. To practically realize this promise, we must reduce quantum resources while maintaining accura…
Quantum Simulations of Chemistry in First Quantization with any Basis Set
Timothy N. Georges, Marius Bothe, Christoph Sünderhauf +3
Quantum computation of the energy of molecules and materials is one of the most promising applications of fault-tolerant quantum computers. Practical applications require developme…