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Higher-Dimensional Quantum Hypergraph-Product Codes with Finite Rates
Weilei Zeng1, Leonid P Pryadko1
1Department of Physics and Astronomy, University of California, Riverside, California 92521, USA.
Abstract:
We describe a family of quantum error-correcting codes which generalize both the quantum hypergraph-product codes by Tillich and Zémor and all families of toric codes on m-dimensional hypercubic lattices. Parameters of the constructed codes, including the minimum distances, are given explicitly in terms of those of binary codes associated with the matrices used in the construction.
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