论文标题
来自量子代码的模块化引导限制的解决方案
Solutions of modular bootstrap constraints from quantum codes
论文作者
论文摘要
模块化不变性对二维形成式场理论的分区函数施加了严格的约束。许多基本的结果严格来自模块化不变性，从而产生了数值模块化引导程序。在这里，我们报告一种方法，将“代码CFTS”的特定量子误差家族分配给特定的量子误差系列，该家族构成了Narain CFTS空间的子集。该对应关系可将2D CFT分区功能的模块化不变性降低到一些简单的ALGEBRAIC典型典型典型的典型典型典型构建的构造的典型典型典范中，以此为代码。等光谱理论以及许多非摩尔形函数的示例，这些函数满足了2D CFT分区函数的所有基本特性，但与任何已知的CFT无关。
Modular invariance imposes rigid constrains on the partition functions of two-dimensional conformal field theories. Many fundamental results follow strictly from modular invariance, giving rise to the numerical modular bootstrap program. Here we report a way to assign to a particular family of quantum error correcting codes a family of "code CFTs" CFTs", which forms a subset of the space of Narain CFTs. This correspondence reduces modular invariance of the 2d CFT partition function to a few simple algebraic relations obeyed by a multivariate polynomial characterizing the corresponding code. Using this relation we construct many explicit examples of physically distinct isospectral theories, as well as many examples of nonholomorphic functions, which satisfy all basic properties of the 2d CFT partition function, yet are not associated with any known CFT.
