Table 3 Wall-clock circuit generation time at various system sizes N for approximating the imaginary time evolution step of TPQ state preparation with the QITE, inexact QITE, dilated operator, and FABLE algorithms at \(\beta =1\).
From: Exploring finite temperature properties of materials with quantum computers
Circuit generation time (s) | ||||
|---|---|---|---|---|
N | QITE | Inexact QITE | Dilated operator | FABLE |
2 | 2.85 | 0.719 | 0.970 | \(2.14 \times 10^{-3}\) |
3 | \(1.44 \times 10^2\) | 3.71 | 1.53 | \(6.39 \times 10^{-3}\) |
4 | – | 7.53 | 4.44 | \(2.61 \times 10^{-2}\) |
5 | – | 11.51 | 17.4 | \(8.71 \times 10^{-2}\) |
