Loop Feynman integration on a quantum computer
- de Lejarza, Jorge J. Martínez et al
- arXiv:2401.03023
| Comparison of the workflows of classical Monte Carlo integration and the QFIAE quantum algorithm. |
| Quantum integration of the real (left) and imaginary (right) part of the renormalized bubble integral ${\cal A}^{(1,\r)}_{2}(p,m,m;\mu_\uv)$ as a function of the ratio of the mass $m$ to the energy component of the external momentum set at $p_0 = 100$~GeV, and the renormalization scale $\mu_\uv$. |
| Quantum integration of the real (left) and imaginary (right) part of the renormalized bubble integral ${\cal A}^{(1,\r)}_{2}(p,m,m;\mu_\uv)$ as a function of the ratio of the mass $m$ to the energy component of the external momentum set at $p_0 = 100$~GeV, and the renormalization scale $\mu_\uv$. |
| Quantum integration of the real (left) and imaginary (right) part of the triangle integral ${\cal A}^{(1)}_{3}(p_1,p_2,m,m,m)$ as a function of the ratio of the mass $m$ to the cms energy set at $\sqrt{s}= 2$~GeV. |
| Quantum integration of the real (left) and imaginary (right) part of the triangle integral ${\cal A}^{(1)}_{3}(p_1,p_2,m,m,m)$ as a function of the ratio of the mass $m$ to the cms energy set at $\sqrt{s}= 2$~GeV. |
| : Amplitude operator $\mathcal{A}$ |
| : Amplification operator $\mathcal{Q}$ |