5 citations · 5 across the 1 of their papers we have counts for
11 papers
A Classification of Translation-Invariant Quantum Codes in Any Dimension
Andrew Li, Dominic J. Williamson
Quantum error-correcting codes with two-dimensional translation invariance are known to be equivalent to copies of the two-dimensional toric code. Such a simple classification is n…
Low-overhead fault-tolerant quantum computation by gauging logical operators
Dominic J. Williamson, Theodore J. Yoder
Quantum computation must be performed in a fault-tolerant manner to be useful in practice. Recent progress has established quantum error-correcting codes with sparse connectivity r…
Translation-invariant quantum low-density parity-check codes from compactified fracton models
Cassandra M. Hopkin, Victor V. Albert, Dominic J. Williamson
Quantum error-correcting codes with translation symmetry and local checks have been studied extensively, leading to a wide variety of fracton codes in three or more dimensions whic…
Constant depth magic state cultivation with Clifford measurements by gauging
Bence Hetényi, Benjamin J. Brown, Dominic J. Williamson
Magic states are a scarce resource for two-dimensional qubit stabilizer codes. Magic state cultivation was recently proposed to reduce the cost of magic state preparation by measur…
Parsimonious Quantum Low-Density Parity-Check Code Surgery
Andrew C. Yuan, Alexander Cowtan, Zhiyang He +2
Quantum code surgery offers a flexible, low-overhead framework for executing logical measurements within quantum error-correcting codes. It encompasses several fault-tolerant logic…
Quantum Weight Reduction with Layer Codes
Andrew C. Yuan, Nouédyn Baspin, Dominic J. Williamson
Quantum weight reduction procedures ease the implementation of quantum codes by sparsifying them, resulting in low-weight checks and low-degree qubits. However, to date, only few q…