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Quantum Error-Correcting Codes for Qudit Amplitude Damping

zqyin 添加于 2015-9-28 16:11 | 1416 次阅读 | 0 个评论

作者
Grassl M, Kong L, Wei Z, Yin Z-Q, Zeng B
摘要
Traditional quantum error-correcting codes are designed for the depolarizing channel modeled by generalized Pauli errors occurring with equal probability. Amplitude damping channels model, in general, the decay process of a multilevel atom or energy dissipation of a bosonic system at zero temperature. We discuss quantum error-correcting codes adapted to amplitude damping channels for higher dimensional systems (qudits). For multi-level atoms, we consider a natural kind of decay process, and for bosonic systems,we consider the qudit amplitude damping channel obtained by truncating the Fock basis of the bosonic modes to a certain maximum occupation number. We construct families of single-error-correcting quantum codes that can be used for both cases. Our codes have larger code dimensions than the previously known single-error-correcting codes of the same lengths. Additionally, we present families of multi-error correcting codes for these two channels, as well as generalizations of our construction technique to error-correcting codes for the qutrit $V$ and $Lambda$ channels.
详细资料
- 关键词: quant-ph
- 文献种类: Manual Script
- 期卷页: 2015年
- 日期: 2015-9-23
- 发布方式: arXiv e-prints
- 备注:arXiv:1509.06829v1; 22 pages, 3 figures, Part of this work was presented at the 2014 IEEE Symposium on Information Information Theory
学科领域自然科学 » 物理学
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