Bosonic error correcting codes utilize the infinite dimensional Hilbert space of a harmonic oscillator to encode a qubit. Bosonic rotation codes are characterized by a discrete rotation symmetry in their Wigner functions and include codes such as the cat and binomial codes.We define two different notions of random bosonic rotation codes and numerically explore their performance against loss and dephasing. We find that the best random rotation codes can outperform cat and binomial codes in a certain parameter regime where loss is large and dephasing errors are small.
@article{arxiv.2311.16089,
title = {The performance of random bosonic rotation codes},
author = {Saurabh Totey and Akira Kyle and Steven Liu and Pratik J. Barge and Noah Lordi and Joshua Combes},
journal= {arXiv preprint arXiv:2311.16089},
year = {2023}
}
Comments
9 Pages, 9 Figs, Reuploaded to fix incorrect figure generation