5 papers
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…
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 clas…
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…
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…