The authors equip CSS codes with cup product structures to generate logical operators in the Λ-th Clifford hierarchy level on Λ code copies via constant-depth unitaries, and construct code families supporting this for any Λ.
Graph codes and local systems
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
It is shown that the good expander codes introduced by Sipser and Spielman, can be realized as the first homology of a graph with respect to a certain twisted coefficient system.
fields
quant-ph 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Cups and Gates I: Cohomology invariants and logical quantum operations
The authors equip CSS codes with cup product structures to generate logical operators in the Λ-th Clifford hierarchy level on Λ code copies via constant-depth unitaries, and construct code families supporting this for any Λ.