First qLDPC code constructions with transversal non-Clifford phase gates, obtained by embedding a local code with the desired transversal gate into a Tanner-based hypergraph or balanced product code, at the cost of O(1) Z-distance.
Subsystem fault tolerance with the Bacon-Shor code
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We discuss how the presence of gauge sub-systems in the Bacon-Shor code [D. Bacon, Phys. Rev. A 73, 012340 (2006)] leads to remarkably simple and efficient methods for fault-tolerant error correction (FTEC). Most notably, FTEC does not require entangled ancillary states and it can be implemented with nearest-neighbor two-qubit measurements. By using these methods, we prove a lower bound on the quantum accuracy threshold, 1.94 \times 10^{-4} for adversarial stochastic noise, that improves previous lower bounds by nearly an order of magnitude.
citation-role summary
background 1
citation-polarity summary
fields
quant-ph 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Transversal Gates for Highly Asymmetric qLDPC Codes
First qLDPC code constructions with transversal non-Clifford phase gates, obtained by embedding a local code with the desired transversal gate into a Tanner-based hypergraph or balanced product code, at the cost of O(1) Z-distance.