论文标题
无量子拉姆西定理用于稳定器代码
No quantum Ramsey theorem for stabilizer codes
论文作者
论文摘要
在本文中，我们研究了Pauli操作员张量产品产生的混合自动通道的量子图，我们称为Pauli Channels。我们表明，由Pauli通道引起的大多数量子图具有稳定器代码的非平凡量子集团或量子反质。但是，就稳定器法规和保利频道而言，对尼克·韦弗（Nik Weaver）的量子拉姆西定理的重新进行了重新重新制定。具体来说，对于每个正整数$ n $，都存在一个$ n $ qubit的保利频道，任何非平凡的量子集团或量子反式抗体都无法成为稳定器代码。
In this paper we study the quantum graphs of mixed-unitary channels generated by tensor products of Pauli operators, which we call Pauli channels. We show that most quantum graphs arising from Pauli channels have non-trivial quantum cliques or quantum anticliques which are stabilizer codes. However, a reformulation of Nik Weaver's quantum Ramsey theorem in terms of stabilizer codes and Pauli channels fails. Specifically, for every positive integer $n$, there exists an $n$-qubit Pauli channel for which any non-trivial quantum clique or quantum anticlique fails to be a stabilizer code.
