Table 1 Comparison of simulative and theoretical solutions of \(4\times 4\) linear system.
From: Improved circuit implementation of the HHL algorithm and its simulations on QISKIT
Algorithm | Solution | Fidelity | Depth | Width | Total quantum gate |
|---|---|---|---|---|---|
Theoretical solution | \(\left(\begin{array}{c}\begin{array}{c}\sqrt{\text{0.}{0455}}\\ \sqrt{\text{0.}{0455}}\end{array}\\ \begin{array}{c}\sqrt{\text{0.}{1818}}\\ \sqrt{\text{0.}{7272}}\end{array}\end{array}\right)\) | 1 | – | – | – |
Generic circuit | \(\left(\begin{array}{c}\begin{array}{c}\sqrt{\text{0.}{0412}}\\ \sqrt{\text{0.}{0450}}\end{array}\\ \begin{array}{c}\sqrt{\text{0.}{2450}}\\ \sqrt{\text{0.}{6687}}\end{array}\end{array}\right)\) | 0.993 | 28 | 14 | 39 |
Improved circuit | \(\left(\begin{array}{c}\begin{array}{c}\sqrt{\text{0.}{0371}}\\ \sqrt{\text{0.}{0358}}\end{array}\\ \begin{array}{c}\sqrt{\text{0.}{1687}}\\ \sqrt{\text{0.}{7583}}\end{array}\end{array}\right)\) | 0.998 | 21 | 14 | 28 |
