Fig. 1. Quantum circuit to obtain ω. Here R is controlled rotation, R=∑θ∈{0,1}dθθ⊗exp(-iθσy). QSVE is singular value estimation operation

Fig. 2. Quantum circuit to get the new predicted value

Fig. 3. Distribution of the results of measuring 01 and 11

Fig. 4. Feasibility simulation experiment quantum circuit diagram of "Estimating the inner product with the measurement probability in the output predicted value"

Fig. 5. Distribution of the results of "the quantum amplitude estimation method is used to obtain the predicted valuein the form of quantum states" measurement

Fig. 6. Feasibility simulation experiment quantum circuit diagram of "using quantum amplitude estimation method to obtain predicted value in quantum state form". Here U is the initial state preparation operator, QFT is the quantum Fourier operator, and Grover is the G-operator in amplitude estimation