5 papers · 1 filter
Quantum group codes for non-Clifford logic: enhanced decoding, addressability and parallelizability
Jean Gasnier, Virgile Guémard
We introduce a framework based on classical quasi group codes to define a class of quantum CSS codes, called quantum group codes, supporting transversal multi-control- gates whi…
Good quantum codes with addressable and parallelizable transversal non-Clifford gates
Virgile Guémard
In this work, we prove that for any , there exists a family of good qudit quantum codes supporting transversal logical gates that can address spec…
Lifting a CSS code via its handlebody realization
Virgile Guemard
We present a topological approach to lifting a quantum CSS code. In previous work, we proposed lifting a CSS code by constructing covering spaces over its 2D simplicial complex rep…
Moderate-length lifted quantum Tanner codes
Virgile Guémard, Gilles Zémor
We introduce new families of quantum Tanner codes, a class of quantum codes that first appeared in the work of Leverrier and Zémor (FOCS 2022). These codes are built from two class…
Lifts of quantum CSS codes
Virgile Guemard
We propose a notion of lift for quantum CSS codes, inspired by the geometrical construction of Freedman and Hastings. It is based on the existence of a canonical complex associated…