Gaussian operations are vital tools for constructing various continuous-variable quantum protocols. As advanced quantum research advances towards larger and more complex scalable quantum networks, implementing multimode Gaussian operations (e.g., multimode squeezing/entangling operations) becomes essential. Not only for examining the unknown multimode Gaussian operation, but also for controlling the multimode Gaussian operation, characterization of multimode Gaussian operation is required. However, the previous works have been limited to investigate multimode linear operation. In this work, we experimentally characterize complete information of multimode Gaussian processes, which go beyond the linear operation by including multimode squeezing and entangling operation. Any multimode Gaussian processes can be described with transfer matrix T and noise matrix N. With the new method of using coherent and vacuum probe, the transfer matrix T and the noise matrix N was obtained. Characterizing the noise matrix N enables us to determine the noise during the process. Our method can be further used in many quantum protocols, especially for quantum information processing.
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