论文标题
稳定器量子代码由痕量远程多项式定义
Stabilizer quantum codes defined by trace-depending polynomials
论文作者
论文摘要
具有良好参数的量子误差校正代码可以通过在多项式迹线的根部评估多项式来构建。在本文中，我们建议评估痕量挖掘多项式的根部（由常数加和多项式的轨迹给出）的多项式，并表明该过程会增加稳定器的量子误差校正代码，其长度范围比涉及痕量和出色参数的其他文件的长度范围更大。也就是说，我们能够提供新的二进制记录和非二进制代码，以改善文献中可用的代码。
Quantum error-correcting codes with good parameters can be constructed by evaluating polynomials at the roots of the polynomial trace. In this paper, we propose to evaluate polynomials at the roots of trace-depending polynomials (given by a constant plus the trace of a polynomial) and show that this procedure gives rise to stabilizer quantum error-correcting codes with a wider range of lengths than in other papers involving roots of the trace and with excellent parameters. Namely, we are able to provide new binary records and non-binary codes improving the ones available in the literature.
