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arXiv 0903.5256quant-ph
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量子码的逻辑算符

On the logical operators of quantum codes

Mark M. Wilde

备注：
5 pages, sequel to the findings in arXiv:0804.1404
发表信息：
Physical Review A 79, 062322 (2009)
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摘要：

我展示了如何应用一个辛Gram-Schmidt正交化的量子代码的规范化给出了一个不同的方式来确定代码的逻辑算子。这种方法在我们从经典码产生量子码的设置中可能更自然，因为经典码的生成器矩阵形成所得到的量子码的归一化子。这种技术在确定从两个经典二进制码或从一个经典四进制码产生的纠缠辅助码的逻辑运算符时特别有用。最后，这种方法给出了计算纠缠辅助代码所需的纠缠量的额外公式。

英文摘要：

I show how applying a symplectic Gram-Schmidt orthogonalization to the normalizer of a quantum code gives a different way of determining the code's logical operators. This approach may be more natural in the setting where we produce a quantum code from classical codes because the generator matrices of the classical codes form the normalizer of the resulting quantum code. This technique is particularly useful in determining the logical operators of an entanglement-assisted code produced from two classical binary codes or from one classical quaternary code. Finally, this approach gives additional formulas for computing the amount of entanglement that an entanglement-assisted code requires.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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