11 citations · 13 across the 3 of their papers we have counts for
4 papers · 1 filter
Adiabatic tracking and geometric schedules for classical and quantum Gibbs-state preparation
Pedro C. S. Costa, Mauro E. S. Morales, Dong An +1
We develop a discrete adiabatic framework for Gibbs-state preparation in classical and quantum optimisation algorithms. For finite time-inhomogeneous reversible Markov chains, we d…
Assessing Quantum and Classical Approaches to Combinatorial Optimization: Testing Quadratic Speed-ups for Heuristic Algorithms
Pedro C. S. Costa, Mauro E. S. Morales, Dong An +1
Many recent investigations conclude, based on asymptotic complexity analyses, that quantum computers could accelerate combinatorial optimization (CO) tasks relative to a purely cla…
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…
Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling
Pedro C. S. Costa, Philipp Schleich, Mauro E. S. Morales +1
The solution of large systems of nonlinear differential equations is needed for many applications in science and engineering. In this study, we present three main improvements to e…