Report
Block Encodings of Discrete Subgroups on Quantum Computer
| العنوان: | Block Encodings of Discrete Subgroups on Quantum Computer |
|---|---|
| المؤلفون: | Lamm, Henry, Li, Ying-Ying, Shu, Jing, Wang, Yi-Lin, Xu, Bin |
| سنة النشر: | 2024 |
| المجموعة: | High Energy Physics - Lattice Quantum Physics |
| مصطلحات موضوعية: | High Energy Physics - Lattice, Quantum Physics |
| الوصف: | We introduce a block encoding method for mapping discrete subgroups to qubits on a quantum computer. This method is applicable to general discrete groups, including crystal-like subgroups such as $\mathbb{BI}$ of $SU(2)$ and $\mathbb{V}$ of $SU(3)$. We detail the construction of primitive gates -- the inversion gate, the group multiplication gate, the trace gate, and the group Fourier gate -- utilizing this encoding method for $\mathbb{BT}$ and for the first time $\mathbb{BI}$ group. We also provide resource estimations to extract the gluon viscosity. The inversion gates for $\mathbb{BT}$ and $\mathbb{BI}$ are benchmarked on the $\texttt{Baiwang}$ quantum computer with estimated fidelities of $40^{+5}_{-4}\%$ and $4^{+5}_{-3}\%$ respectively. Comment: 12 pages, 10 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.12890 |
| رقم الانضمام: | edsarx.2405.12890 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |