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

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Brell, Courtney G.: A proposal for self-correcting stabilizer quantum memories in 3 dimensions (or slightly less). In: New Journal of Physics 18 (2016), 13050. DOI: http://dx.doi.org/10.1088/1367-2630/18/1/013050

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We propose a family of local CSS stabilizer codes as possible candidates for self-correcting quantum memories in 3D. 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 with Hausdorff dimension less than 3. Though this does not imply that these models can be realized with local interactions in R3, we also discuss this possibility. 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.
License of this version: CC BY 3.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2016-01-25
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 154 85.08%
2 image of flag of United States United States 7 3.87%
3 image of flag of India India 3 1.66%
4 image of flag of United Kingdom United Kingdom 3 1.66%
5 image of flag of France France 2 1.10%
6 image of flag of Brazil Brazil 2 1.10%
7 image of flag of Taiwan Taiwan 1 0.55%
8 image of flag of Italy Italy 1 0.55%
9 image of flag of Iran, Islamic Republic of Iran, Islamic Republic of 1 0.55%
10 image of flag of Belgium Belgium 1 0.55%
    other countries 6 3.31%

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