论齐次标量幺正元胞自动机的缺失
量子物理
2009-10-30 v2 comp-gas
高能物理 - 理论
元胞自动机与格子气
摘要
一维中未能找到齐次标量幺正元胞自动机（CA）导致只考虑“近似幺正”的 CA——这促成了我们近期一维 No-go 引理的证明。在本注记中，我们将一维结果推广，证明在任意维度的欧几里得格点上不存在非平凡的齐次标量幺正 CA。
引用
@article{arxiv.quant-ph/9604011,
title = {On the absence of homogeneous scalar unitary cellular automata},
author = {David A. Meyer},
journal= {arXiv preprint arXiv:quant-ph/9604011},
year = {2009}
}
备注
7 pages, plain TeX, 3 PostScript figures included with epsf.tex (ignore the under/overfull \vbox error messages); minor changes (including title wording) in response to referee suggestions, also updated references; to appear in Phys. Lett. A