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

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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.