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Quantum Error Correction Fault Tolerance
Quantum Simulation
Higher-dimensional quantum hypergraph-product codes
arXiv
Authors: Weilei Zeng, Leonid P. Pryadko
Year
2018
Paper ID
24274
Status
Preprint
Abstract Read
~2 min
Abstract Words
97
Citations
N/A
Abstract
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 mge2. 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.
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- 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...
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