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arXiv 2602.20546quant-ph
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在自行车架构中蒸馏魔法态

Distilling Magic States in the Bicycle Architecture

Yale University(耶鲁大学);IBM Quantum, IBM Research(IBM量子,IBM研究院);Massachusetts Institute of Technology(麻省理工学院)

Shifan Xu, Kun Liu, Patrick Rall, Zhiyang He, Yongshan Ding

AI总结:

本文提出在双变量自行车码中实现基于泡利测量的克利福德电路,通过联合优化逻辑量子比特映射、门调度、测量本地化和量子比特回收来设计蒸馏工厂,在更小量子比特占用下实现更低目标错误率。

摘要:

魔法态蒸馏被认为是提供非克利福德资源以实现通用容错的有前景方法之一。在表面码中实现的传统MSD协议通常需要多个码块和晶格手术轮次,导致大量量子比特开销,尤其是在低目标错误率下。在这项工作中,我们提出了在双变量自行车(BB)码上的实用魔法态蒸馏工厂,该工厂在单个BB码块内执行基于泡利测量的克利福德电路。我们将蒸馏电路设计表述为逻辑量子比特映射、门调度、测量本地化以及通过量子比特回收进行协议压缩的联合优化。基于详细的资源分析和模拟,我们的BB工厂在空间-时间体积上与领先的蒸馏工厂相当,同时在更小的量子比特占用下实现更低的目标错误率,并且作为魔法态培育后的第二轮蒸馏器特别有吸引力。

英文摘要:

Magic State Distillation is considered to be one of the promising methods for supplying the non-Clifford resources required to achieve universal fault tolerance. Conventional MSD protocols implemented in surface codes often require multiple code blocks and lattice surgery rounds, resulting in substantial qubit overhead, especially at low target error rates. In this work, we present practical magic state distillation factories on Bivariate Bicycle (BB) codes that execute Pauli-measurement-based Clifford circuits inside a single BB code block. We formulate distillation circuit design as a joint optimization of logical qubit mapping, gate scheduling, measurement nativization, and protocol compression via qubit recycling. Based on detailed resource analysis and simulations, our BB factories have space-time volume comparable to that of leading distillation factories while delivering lower target error at a smaller qubit footprint, and are particularly compelling as second-round distillers following magic state cultivations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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