Bell Diagonal and Werner state generation: entanglement, non-locality, steering and discord on the IBM quantum computer

Abstract

We shortly review Bell-diagonal and Werner states of two quantum bits and their characterization, and carry out a detailed experimental study of their generation on the IBM Quantum Experience.To this end we propose new circuits and tomography. One circuit involves only two quantum bits but requires adapted quantum tomography routines handling classical bits in parallel. For the first time the entire class of Bell-diagonal states is generated. A number of characteristic indicators, namely entanglement of formation, CHSH non-locality, steering and quantum discord, are evaluated over the full parameter space and compared with theory.