从纠错非高斯量子态获得改进的GKP魔法态
Improved GKP magic states from error-corrected non-Gaussian quantum states
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中文总结 AI 辅助
研究在Gottesman-Kitaev-Preskill码框架下，将简单非高斯输入态用于魔法态蒸馏，可显著提高魔法态质量，减少所需资源，某些情况下资源减少约3倍，且输入态适用性不能仅用对称性解释。
中文摘要 AI 辅助
门隐形传态与魔法态蒸馏是通往容错通用计算的一条有前景的途径。在玻色子量子计算中，Baragiola等人（PRL 123(20).200502 (2019)）表明，在Gottesman-Kitaev-Preskill码框架内，可通过纠错高斯态（如真空态）产生适合蒸馏的编码魔法态。本文表明，将相同框架应用于简单非高斯输入态可显著提高所得魔法态的质量，减少完整蒸馏过程的总体资源。我们聚焦于相干态或福克态的叠加，发现许多叠加态能改进高质量编码魔法态的生成，在某些情况下可将魔法态蒸馏所需资源减少约3倍。我们还研究了这些改进的主要来源，发现与之前推测不同，输入态的适用性不能完全用对称性论证来解释。相反，由于纠错过程，最佳态似乎避免在稳定子态附近投影。
英文摘要
Gate teleportation, together with magic state distillation, is a promising route towards fault-tolerant, universal computation. In the context of bosonic quantum computation, Baragiola et al. PRL 123(20).200502 (2019) showed that within the framework of Gottesman--Kitaev--Preskill codes, encoded magic states suitable for distillation can be produced by error correcting Gaussian states, such as the vacuum. Here, we show that applying the same framework to simple non-Gaussian input states can significantly improve the quality of the magic states obtained, reducing the overall resources for the complete distillation procedure. We focus on superpositions of coherent states or Fock states, showing that many can lead to improvements in the generation of high-quality encoded magic states, which in some cases reduces the resources required for magic state distillation by about a factor $3$. We also investigate the primary source of these improvements and find that, unlike what was previously conjectured, the suitability of input states is not fully explained by symmetry arguments. Instead, the best states seem to avoid projection near stabilizer states as a result of the error correction procedure.
发表机构
- QAT Team, DIENS, École normale supérieure, PSL University, CNRS, INRIA（量子团队，DIENS，巴黎高等师范学院，PSL大学，法国国家科学研究中心，法国国家信息与自动化研究所）
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