Precise determination of the multicritical point by renormalization group and duality analysis

我们发展了统计力学、对偶性和重整化群分析中的经典方法，使得它们通过自旋玻璃中的特殊临界点同时适用于经典和量子信息理论。这项研究与通过物理学重新考虑信息论密切相关。我们进行了以下分析研究：1.确定特殊临界点的位置；2.考虑量子信息中误差阈值的关系；3.借助配分函数的对称性进行分析。我们得到了许多突出的结果，直到基础支持的周期的最后一项。建立以确定特殊临界点的位置2。对量子信息中误差阈值关系的思考3。借助于配分函数的对称性分析我们得到了许多突出的结果，直到基础所支持的周期的最后一项。

We develop the classical methods in statistical mechanics, duality and renormalization group analysis such that they are applicable to both of the classical and quantum information theory through the special critical point in spin glasses. The study is closely associated with reconsideration of information theory through physics. We perform the following analytical studies ; 1. Establishment to identify the location of the special critical point 2. Consideration on the relationship with the error threshold in quantum information 3. Analysis by aid of the symmetry of the partition function We obtain many outstanding results until the final term of the period supported by the foundation.1. Establishment to identify the location of the special critical point2. Consideration on the relationship with the error threshold in quantum information3. Analysis by aid of the symmetry of the partition functionWe obtain many outstanding results until the final term of the period supported by the foundation.