Bulletin of the American Physical Society
APS March Meeting 2019
Volume 64, Number 2
Monday–Friday, March 4–8, 2019; Boston, Massachusetts
Session L27: Quantum Error Correction Theory and Experiment I
11:15 AM–2:15 PM,
Wednesday, March 6, 2019
BCEC
Room: 160C
Sponsoring
Unit:
DQI
Chair: Barbara Terhal
Abstract: L27.00011 : Higher-dimensional quantum hypergraph-product codes*
1:39 PM–1:51 PM
Presenter:
Leonid Pryadko
(University of California, Riverside)
Authors:
Weilei Zeng
(University of California, Riverside)
Leonid Pryadko
(University of California, Riverside)
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 former, our codes can have finite rates and
power-law distance scaling with bounded-weight stabilizer generators.
Similar to the toric codes, our codes form m-complexes Km, with m≥2. These
are defined recursively, with Km obtained as a tensor product of a
complex Km−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.
*This research was supported in part by the NSF Division of Physics via
Grants No. 1416578 and 1820939.
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