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arXiv quant-ph/0003141quant-ph
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避免错误的量子码和Grover算法的动态稳定性

Error Avoiding Quantum Codes and Dynamical Stabilization of Grover's Algorithm

Michael Mussinger, Aldo Delgado, Gernot Alber

摘要:

本文提出了一种能使Grover量子搜索算法对一类特定的相干错误具有稳定性的量子纠错码。这种避免错误的代码只包括在计算基础上可分解的状态。此外,它的冗余度小于饱和量子汉明限的一般纠错量子码所能达到的冗余度。该码只包含可因子分解的态,这一事实为在无差错子空间中实现量子门提供了优势。

英文摘要:

An error avoiding quantum code is presented which is capable of stabilizing Grover's quantum search algorithm against a particular class of coherent errors. This error avoiding code consists of states only which are factorizable in the computational basis. Furthermore, its redundancy is smaller than the one which is achievable with a general error correcting quantum code saturating the quantum Hamming bound. The fact that this code consists of factorizable states only may offer advantages for the implementation of quantum gates in the error free subspace.

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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