Bell Diagonal and Werner State Generation: Entanglement, Non-Locality, Steering and Discord on the IBM Quantum Computer
Name
entropy-23-00797-v2.pdf
Size
3.36 MB
Format
Adobe PDF
Checksum (MD5)
674db967ed5b4afe9b690733290f6ad6
Author(s)
Riedel Gårding, Elias
Schwaller, Nicolas
Chan, Chun Lam
Chang, Su Yeon
Bosch, Samuel
Gessler, Frederic
Laborde, Willy Robert
Hernandez, Javier Naya
Si, Xinyu
Dupertuis, Marc-André
Date Issued
June 23, 2021
Publisher
Multidisciplinary Digital Publishing Institute
Citation
Entropy 23 (7): 797 (2021)
Version
Final published version
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 several characteristic indicators, namely entanglement of formation and concurrence, 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.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.3390/e23070797
