تقرير
Even more efficient magic state distillation by zero-level distillation
العنوان: | Even more efficient magic state distillation by zero-level distillation |
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المؤلفون: | Itogawa, Tomohiro, Takada, Yugo, Hirano, Yutaka, Fujii, Keisuke |
سنة النشر: | 2024 |
المجموعة: | Quantum Physics |
مصطلحات موضوعية: | Quantum Physics |
الوصف: | Magic state distillation (MSD) is an essential element for universal fault-tolerant quantum computing, which distills a high fidelity magic state from noisy magic states using ideal (error-corrected) Clifford operations. For ideal Clifford operations, it needs to be performed on the logical qubits and hence takes a large spatiotemporal overhead, which is one of the major bottlenecks for the realization of fault-tolerant quantum computers (FTQC). Here we propose zero-level distillation, which prepares a high fidelity logical magic state using physical qubits on a square lattice using nearest-neighbor two-qubit gates without using multiple logical qubits. The key idea behind is using the Steane code to distill a logical magic state by using noisy Clifford gates with error detection. Then the Steane code state is teleported or converted to the surface codes. By carefully designing such circuits fault-tolerantly, the error rate of the logical magic state scales $\sim 100 \times p^2$ in terms of the physical error rate $p$. For example, with a physical error rate of $p=10^{-4}$ ($10^{-3}$), the logical error rate is reduced to $p_L=10^{-6}$ ($10^{-4}$), resulting in an improvement of two (one) orders of magnitude. This contributes to reducing both space and time overhead for early FTQC as well as full-fledged FTQC combined with conventional multi-level distillation protocols. Comment: 10 pages and 12 figures |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2403.03991 |
رقم الأكسشن: | edsarx.2403.03991 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |