Higher-dimernsional quantum hypergraph-product codes

ORAL

Abstract

The quantum hypergraph-product codes by Tillich and Zemor, and m-dimensional toric codes could be generalized into one family of codes. Those codes are isomorphic to the CSS codes generated by m-chain complex. A recursive formula is given for such construction, with explicit code parameters. This work is useful for constructing fault-tolerant quantum LDPC codes.

*This research was supported in part by the NSF Division of Physics via Grants No. 1416578 and 1820939.

Presenters

  • Weilei Zeng

    • UC Riverside

Authors

  • Weilei Zeng

    • UC Riverside
  • Leonid P Pryadko

    • UC Riverside