PreprintarXiv licencearXiv
Quantum codes are quantized codes: Stabilizer codes from quantization over finite fields
Abstract
We present a discrete analogue of geometric quantization over finite fields which, when applied to certain classical error-correcting codes, yields quantum error-correcting codes. This provides a physical interpretation for a previously known quantum-classical correspondence in coding theory.
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BibTeX
@misc{zurel2026quantum,
title = {{Quantum codes are quantized codes: Stabilizer codes from quantization over finite fields}},
author = {Michael Zurel},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.06607},
eprint = {2610.06607},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.06607},
}
RIS
TY - UNPB
TI - Quantum codes are quantized codes: Stabilizer codes from quantization over finite fields
AU - Michael Zurel
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.06607
UR - https://arxiv.org/abs/2610.06607
AB - We present a discrete analogue of geometric quantization over finite fields which, when applied to certain classical error-correcting codes, yields quantum error-correcting codes. This provides a physical interpretation for a previously known quantum-classical correspondence in coding theory.
ER -