Ruben Ibarrondo

The successful implementation of many quantum algorithms relies heavily on the efficient encoding of classical data into quantum computers. In this sense, an inefficient encoding can undermine any potential quantum advantage offered by the processing stage, specially for those implementations comprising quantum machine learning techniques .

Abstract The Harrow-Hassidim-Lloyd quantum algorithm was proposed to solve linear systems of equations Ax→=b→ and it is the core of various applications. However, there is no explicit quantum circuit for the subroutine that maps the inverse of the problem matrix A into an ancillary qubit. This makes implementation in current quantum devices challenging, forcing us to use hybrid approaches.