@article{Ma:2023:10.1103/PhysRevLett.131.200602,
author = {Ma, Y and Hanks, M and Kim, MS},
doi = {10.1103/PhysRevLett.131.200602},
journal = {Physical Review Letters},
title = {Non-Pauli errors can be efficiently sampled in qudit surface codes},
url = {http://dx.doi.org/10.1103/PhysRevLett.131.200602},
volume = {131},
year = {2023}
}

Download

TY  - JOUR
AB  - Surface codes are the most promising candidates for fault-tolerant quantum computation. Single qudit errors are typically modeled as Pauli operators, to which general errors are converted via randomizing methods. In this Letter, we quantify remaining correlations after syndrome measurement for a qudit 2D surface code subject to non-Pauli errors via loops on the lattice, using percolation theory. Below the error correction threshold, remaining correlations are sparse and locally constrained. Syndromes for qudit surface codes are therefore efficiently samplable for non-Pauli errors, independent of the exact forms of the error and decoder.
AU  - Ma,Y
AU  - Hanks,M
AU  - Kim,MS
DO  - 10.1103/PhysRevLett.131.200602
PY  - 2023///
SN  - 0031-9007
TI  - Non-Pauli errors can be efficiently sampled in qudit surface codes
T2  - Physical Review Letters
UR  - http://dx.doi.org/10.1103/PhysRevLett.131.200602
UR  - https://www.ncbi.nlm.nih.gov/pubmed/38039474
UR  - https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.131.200602
UR  - http://hdl.handle.net/10044/1/112327
VL  - 131
ER  - 

Download