3 papers
quant-ph2025
Small quantum Tanner codes from left--right Cayley complexes
Anthony Leverrier, Wouter Rozendaal, Gilles Zémor
Quantum Tanner codes are a class of quantum low-density parity-check codes that provably display a linear minimum distance and a constant encoding rate in the asymptotic limit. Whe…
quant-ph2025
The injective norm of CSS quantum error-correcting codes
Stephane Dartois, Gilles Zémor
In this paper, we compute the injective norm - a.k.a. geometric entanglement - of standard basis states of CSS quantum error-correcting codes. The injective norm of a quantum state…
quant-ph2025
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…