  Searching for new physics~(NP) is one of the areas of high-energy physics
that requires the most processing of large amounts of data. At the same time,
quantum computing has huge potential advantages when dealing with large amounts
of data. The principal component analysis~(PCA) algorithm may be one of the
bridges connecting these two aspects. On the one hand, it can be used for
anomaly detection, and on the other hand, there are corresponding quantum
algorithms for PCA. In this paper, we investigate how to use PCA to search for
NP. Taking the example of anomalous quartic gauge couplings in the tri-photon
process at muon colliders, we find that PCA can be used to search for NP.
Compared with the traditional event selection strategy, the expected
constraints on the operator coefficients obtained by PCA based event selection
strategy are even better.
