Bell Diagonal and Werner state generation: entanglement, non-locality, steering and discord on the IBM quantum computer
Abstract
We propose the first correct special-purpose quantum circuits for preparation of Bell-diagonal states (BDS), and implement them on the IBM Quantum computer, characterizing and testing complex aspects of their quantum correlations in the full parameter space. Among the circuits proposed, one involves only two quantum bits but requires adapted quantum tomography routines handling classical bits in parallel. The entire class of Bell-diagonal states is generated, and a number of characteristic indicators, namely entanglement of formation, CHSH non-locality, steering and discord, are experimentally evaluated over the full parameter space and compared with theory. As a by-product of this work we also find a remarkable general inequality between "quantum discord" and "asymmetric relative entropy of discord": the former never exceeds the latter. We also prove that for all BDS the two coincide.
Keywords
Cite
@article{arxiv.1912.06105,
title = {Bell Diagonal and Werner state generation: entanglement, non-locality, steering and discord on the IBM quantum computer},
author = {Elias Riedel Gårding and Nicolas Schwaller and Su Yeon Chang and Samuel Bosch and Willy Robert Laborde and Javier Naya Hernandez and Chun Lam Chan and Frédéric Gessler and Xinyu Si and Marc-André Dupertuis and Nicolas Macris},
journal= {arXiv preprint arXiv:1912.06105},
year = {2021}
}
Comments
20 pages, 23 figures