Synthesis of quantum circuits based on supervised learning and correlations

Abstract

This work introduces the use of a variational quantum circuit in order to perform unitary decomposition of a quantum operator. By use of classical optimization techniques and exploiting correlations and entanglement, the variational quantum circuit is able to translate a wide range of quantum algorithms, including the Toffoli gate and random unitary. A case study is also presented, where this decomposition is used to decompose a unitary matrix arise from a classification task.