发表机构
Iceberg Quantum(冰山量子)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
该研究提出将Baspin-Berent-Cohen的快速手术框架应用于QLDPC码,使空间开销降至$\tilde{O}(n(k + d))$,接近常规手术的$\tilde{O}(nk)$开销,通过保扩展稀疏化方法实现辅助量子比特的优化构建。
AI 中文摘要
我们证明,Baspin-Berent-Cohen的快速手术框架可通过最多$\tilde{O}(n(k + d))$个辅助量子比特实现,相较于此前可达的$O(n \times k \times d)$开销有所改进。该结果还表明,快速手术的成本可与常规手术所需的$\tilde{O}(nk)$开销相当。我们构建手术辅助量子比特的方法是:先从一个密集但具有扩展性的系统入手,再运用来自规范理论和编码嵌入的保扩展稀疏化方法。
英文摘要
We show that the fast surgery framework of Baspin-Berent-Cohen can be instantiated using at most $\tilde{O}(n(k + d))$ ancilla qubits, improving on the previously achievable $O(n\cdot k \cdot d)$ overhead. This result also establishes that fast surgery can be performed at a cost comparable to the $\tilde{O}(nk)$ overhead required for regular surgery. We build the surgery ancilla by first starting with a dense, but expanding system; and then applying expansion-preserving sparsification methods from gauging and code embeddings.