bibkey: cao2024areaoperators
authors: ChunJun Cao
year: 2024
title: Non-trivial Area Operators Require Non-local Magic
doi: null
url: https://arxiv.org/abs/2306.14996v2
claim: Stabilizer codes over any local dimension have scalar RT area operators for every physical bipartition, including code subalgebras with centers.
strata_touched: []
license: citation-only
triage: anchor

Area-operator limitations of stabilizer codes

Verified source

arXiv:2306.14996v2, revised 3 September 2024. The primary abstract states the all-local-dimension stabilizer restriction and discusses non-stabilizer examples. The arXiv record’s version date is used here; no unverified journal locator is added.

Use and boundary

Explains why increasing stabilizer depth or performing local-unitary coordinate changes alone cannot supply a non-scalar area response. It does not rule out the non-stabilizer center grouping used in the arithmetic RT research. A changing boundary spectrum can come entirely from logical entropy and need not imply a changing area operator.