5 citations · 8 across the 11 of their papers we have counts for
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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…
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…
Fast magic state preparation by gauging higher-form transversal gates in parallel
Dominic J. Williamson
Magic states are a foundational resource for universal quantum computation. To survive in a realistic noisy environment, magic states must be prepared fault-tolerantly and protecte…