Fiber channel is the best choice for metropolitan quantum information processing due to its advantages of high compatibility, low cost and not easy to be affected by environment. However, when the non-classical optical field is transmitted in the fiber, it will be affected by the extra noise, leading to decoherence, and thus the quantum properties will be reduced or disappeared. With the development of quantum information in long distance fiber, how to realize the non-classical light field in fiber channel transmission without the influence of extra noise has been paid more and more attention.In this paper, a four-fiber channel quantum error correction scheme is proposed theoretically. The quantum error correction of the quantum state in the fiber channel is realized by establishing the correlated noise channel, and the effective transmission of the squeezed state optical field in the fiber channel is completed.The influence of parameters such as the correlation degree of the optical fiber correlated noise channel, the optical fiber transmission distance and the power of the local oscillating light on the quantum error correction is analyzed theoretically. The numerical simulation of our scheme shows that, when the noise is ideally correlated, the extra noise can be completely removed, and the quantum characteristics of the squeezed state optical field will not disappear with the increase of transmission distance and the power of the local oscillator (LO) beam, so the quantum state is ideally protected. Even if the noise in the established correlation noise channel is only partially correlated, our error correction scheme still effectively reduces the extra noise and enhances the transmission distance of the non-classical optical field in the fiber channel. When the relative phase of the correlated noise is assumed to be π/2, the transmission distance of the squeezed state light field with a squeezing degree of 10 dB in the fiber channel can be increased from 10 km to 30 km when the power of the LO is 0.2 mW. This study lays a foundation for the research of continuous variable fiber quantum information in metropolitan area.