4 papers · 1 filter
Pruning qLDPC codes: Towards bivariate bicycle codes with open boundary conditions
Jens Niklas Eberhardt, Francisco Revson F. Pereira, Vincent Steffan
Quantum low-density parity-check codes are promising candidates for quantum error correcting codes as they might offer more resource-efficient alternatives to surface code architec…
Two proofs of a Jantzen Conjecture for Whittaker Modules
Jens Niklas Eberhardt, Anna Romanov
We define a filtration of a standard Whittaker module over a complex semisimple Lie algebra and and establish its fundamental properties. Our filtration specialises to the Jantzen…
An Intersection Matrix for Affine Hyperplane Arrangements
Jens Niklas Eberhardt, Carl Mautner
For a real affine hyperplane arrangement, we define an integer intersection matrix with a natural -deformation related to the intersections of bounded chambers of the arrangemen…
Logical Operators and Fold-Transversal Gates of Bivariate Bicycle Codes
Jens Niklas Eberhardt, Vincent Steffan
Quantum low-density parity-check (qLDPC) codes offer a promising route to scalable fault-tolerant quantum computation with constant overhead. Recent advancements have shown that qL…