partition function is mapped to an inner product of the Toric code state and a product state in which random couplings are encoded. Then, we explore a mapping from this problem to a noisy Toric code model to find a relation to the error threshold problem. To this end, we introduce a quantum formalism for the order parameter of the random bond Ising model. Then, using a mapping from temperature to the probability of noise, we find an important interpretation for the order parameter in a noisy Toric code model. Specifically, we introduce a noisy process on a coherent state in the Toric code where two sequences of bit-flip channels are applied and a quenched disorder is induced by measurement of error syndromes after the first channel. We introduce an order parameter for determining the coherence of an initial state after applying noise, and we show that it is mapped to local magnetization in the random bond Ising model. Therefore, we find a coherence-noncoherence phase transition in the noisy Toric code model corresponding to ferromagnetic-paramagnetic phase transition in the random bond Ising model. Specifically, the phase diagram here is richer than the one that has been derived for ordinary Ising 