4 papers
Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections
Philipp Schleich, Tyler Kharazi, Xiangyu Li +3
Complicated boundary conditions are essential to accurately describe phenomena arising in nature and engineering. Recently, the investigation of a potential speedup through quantum…
Chemically Motivated Simulation Problems are Efficiently Solvable by a Quantum Computer
Philipp Schleich, Lasse Bjørn Kristensen, Jorge A. Campos Gonzalez Angulo +6
Simulating chemical systems is highly sought after and computationally challenging, as the number of degrees of freedom increases exponentially with the size of the system. Quantum…
Faster Algorithmic Quantum and Classical Simulations by Corrected Product Formulas
Mohsen Bagherimehrab, Luis Mantilla Calderon, Dominic W. Berry +6
Hamiltonian simulation using product formulas is arguably the most straightforward and practical approach for algorithmic simulation of a quantum system's dynamics on a quantum com…
Quantum Linear System Solvers: A Survey of Algorithms and Applications
Mauro E. S. Morales, Lirandë Pira, Philipp Schleich +7
Solving linear systems of equations plays a fundamental role in numerous computational problems from different fields of science. The widespread use of numerical methods to solve t…