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Paper 1
Higher-dimensional quantum hypergraph-product codes
Weilei Zeng, Leonid P. Pryadko
- Year
- 2018
- Journal
- arXiv preprint
- DOI
- arXiv:1810.01519
- arXiv
- 1810.01519
We describe a family of quantum error-correcting codes which generalize both the quantum hypergraph-product (QHP) codes by Tillich and Zémor, and all families of toric codes on $m$-dimensional hypercubic lattices. Similar to the latter, our codes form $m$-complexes ${\cal K}_m$, with $m\ge2$. These are defined recursively, with ${\cal K}_m$ obtained as a tensor product of a complex ${\cal K}_{m-1}$ with a $1$-complex parameterized by a binary matrix. Parameters of the constructed codes are given explicitly in terms of those of binary codes associated with the matrices used in the construction.
Open paperPaper 2
Implementing arbitrary phase gates with Ising anyons.
Bonderson P, Clarke DJ, Nayak C, Shtengel K.
- Year
- 2010
- Journal
- Phys Rev Lett
- DOI
- 10.1103/physrevlett.104.180505
- arXiv
- -
No abstract.
Open paper