Figure 5 | Scientific Reports

Figure 5

From: Addressing quantum’s “fine print” with efficient state preparation and information extraction for quantum algorithms and geologic fracture networks

Figure 5

On the left, a simplified two-dimensional fracture network model with two fractures intersecting and two random fluid injection/extraction wells at the red dots. The color bar represents permeability on a logarithmic scale. \({\textbf{b}}\) encodes boundary conditions for a \(4 \times 4\) grid with \(2^{n_b}=16\) cells \(\Rightarrow {n_b}=4\). Nonzero entries in \({\textbf{b}}\) correspond to well sites. On the right, a quantum circuit to prepare the state \(|b\rangle =\frac{1}{\sqrt{39665}}(- 164|0001\rangle +113|1100\rangle )\) for this fracture flow problem with Neumann boundary conditions (sparse nonzero entries in \({\textbf{b}}\)).

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