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. 2019 Jun 14;122(23):230501.
doi: 10.1103/PhysRevLett.122.230501.

Higher-Dimensional Quantum Hypergraph-Product Codes with Finite Rates

Weilei Zeng  1 , Leonid P Pryadko  1
Affiliations

Higher-Dimensional Quantum Hypergraph-Product Codes with Finite Rates

Weilei Zeng et al. Phys Rev Lett. .

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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