7 citations · 7 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Decoding quantum Tanner codes
Anthony Leverrier, Gilles Zémor
We introduce sequential and parallel decoders for quantum Tanner codes. When the Tanner code construction is applied to a sufficiently expanding square complex with robust local co…