Creating an interdisciplinary field of classical and quantum information sciences and statistical mechanics of frustrated system

阐明了经典统计力学的核心问题之一有限维自旋玻璃问题与量子信息中的重要问题量子误差校正的误差阈值之间的关系。特别地，我们提出了一个从理论上预测二维自旋玻璃相图中多临界点精确位置的方案。计算结果与数值计算结果非常吻合。已知该值与环面码的纠错阈值相同，因此从量子纠错的角度来看也具有重要意义。

I have clarified the relationship between the problem of spin glasses in finite dimensions, one of the central problems in classical statistical mechanics, and the error threshold of quantum error correction, an important problem in quantum information. In particular a scheme has been developed to theoretically predict the precise location of the multicritical point in the phase diagram of two-dimensional spin glass. The results have been confirmed to be in excellent agreement with numerical estimations. This value is known to be identical to the threshold of error correction of torus code and therefore carries important significance also from the viewpoint of quantum error correction.