Figure 1
From: Quantum pricing with a smile: implementation of local volatility model on quantum computer
![Figure 1](http://media.springernature.com/full/springer-static/image/art%3A10.1140%2Fepjqt%2Fs40507-022-00125-2/MediaObjects/40507_2022_125_Fig1_HTML.png)
The quantum circuit for asset price evolution of the LV model in the PRN-type method. Ancillary qubits are abbreviated for simple display. The subroutine \(U_{j}\) simulates the time evolution at the j-th time step, and the details of \(U_{j}\) is described in Fig. 2. The implementation of \(J_{W}\) and \(P_{W}\) is shown in Fig. 5