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A proposal for self-correcting stabilizer quantum memories in 3 dimensions (or slightly less)

zqyin 添加于 2014-11-28 17:03 | 1128 次阅读 | 0 个评论

作者
Brell CG
摘要
We propose a family of local CSS stabilizer codes in 3D as candidates for self-correcting quantum memories. The construction is inspired by the classical Ising model on a Sierpinski carpet fractal, which acts as a classical self-correcting memory. Our models are naturally defined on fractal subsets of a 4D hypercubic lattice which can be embedded into 3D space with finite distortion. The X and Z sectors of the code are dual to one another, and we show that there exists a finite temperature phase transition associated with each of these sectors, providing evidence that the system may robustly store quantum information at finite temperature.
详细资料
- 关键词: quant-ph; cond-mat.str-el
- 文献种类: Manual Script
- 期卷页: 2014年
- 日期: 2014-11-26
- 发布方式: arXiv e-prints
- 备注:arXiv:1411.7046v1; 15 pages, 6 figures
学科领域自然科学 » 物理学
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