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超越纯退相:单分子中的量子纠错需要多个自旋

Beyond Pure Dephasing: Quantum Error Correction in Single Molecules Requires Multiple Spins

Matteo Mezzadri, Silvia Macedonio, Luca Lepori, Emilio Macaluso, Francesco Albarelli, Richard E. P. Winpenny, Alessandro Chiesa, Stefano Carretta

arXiv 2610.03318首次发表:更新:

发表机构

Università di Parma; INFN-Sezione Milano-Bicocca; INSTM; Università di Pisa(帕尔马大学; 意大利国家核物理研究所米兰比可卡分部; 意大利国家材料物理研究所; 比萨大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

提出多自旋分子架构,通过混合编码抑制纯退相并纠正非对角错误,实现容错量子计算,数值验证了有限自旋数下的可行性。

AI 中文摘要

我们提出多自旋分子作为容错量子计算的可行架构。为此,我们引入了一种校正协议,该协议同时处理对角和非对角错误,这些错误通常与退相和弛豫相关。该方案基于一种混合编码,它将容忍退相的单位(抑制主要的纯退相错误)组合到多自旋分子中,以实现针对残余非对角错误的多量子比特码。我们的提议利用了分子自旋的独特性质,即不同错误之间的强层次结构以及在合成层面设计多自旋分子的可能性。此外,它解决了非谐系统中受非对角错误影响的相干性损失这一重要问题,这种损失阻碍了它们在单自旋层面的校正。得益于第一级编码对退相的巨大抑制,我们通过数值演示证明了即使在每个逻辑单元自旋数量有限的情况下,该策略的潜在性能。

英文摘要

We propose multi-spin molecules as a viable architecture for fault-tolerant quantum computing. To this aim, we introduce a correction protocol handling both diagonal and off-diagonal errors, typically associated with dephasing and relaxation. The scheme is based on a hybrid encoding which combines dephasing-tolerant units suppressing the leading pure dephasing error into a multi-spin molecule implementing a multi-qubit code for residual off-diagonal errors. Our proposal leverages peculiar properties of molecular spins, i.e. the strong hierarchy between different errors and the possibility to engineer multi-spin molecules at the synthetic level. Moreover, it addresses the important issue of the loss of coherences in anharmonic systems subject to off-diagonal errors, which hampers their correction at the single spin level. Thanks to the huge suppression of dephasing by the first-level code, we numerically demonstrate the potential performance of this strategy even with a limited number of spins per logical unit.

论文原文

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