Figure 1 | Scientific Reports

Figure 1

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

Figure 1

A block diagram of HHL. After a separate, non-HHL algorithm has prepared the right-hand-side vector, \({\textbf{b}}\), HHL applies QPE to extract the eigenvalues and eigenvectors from the matrix, A. Then, the algorithm prepares the eigenvalues for extraction from their entangled state using inverse QPE before measuring an ancilla qubit to determine if the operation was successful. A measurement of 1 indicates that \({|{x}\rangle } \sim {\textbf{x}}\) is stored in the b-register, while a value of 0 indicates a probabilistic circuit failure, the likelihood of which is included in the complexity of HHL via \(\epsilon\).

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