Supporting Data for PRX Quantum (Universal Adapters between quantum LDPC codes)

Quantum LDPC surgery using auxiliary graph construction.

This data accompanies arXiv:2410.03628 . The goal is to illustrate the code deformation/logical measurement scheme presented in the paper.

The two small quantum LDPC codes used as examples to illustrate the scheme are 

[[98,6,12]] bivariate bicyclic code

[[200,20,10]] lifted product code

This data contains Parity check matrices (Hx and Hz) for 

the original quantum LDPC codes,

deformed quantum LDPC codes, to- measure logicals Z_1, Z_2, Z_3 individually, as well as - measure Z_1 Z_2 jointly (multi-code), and - measure Z_1 Z_3 jointly (intra-code).

Input graph and Output matrices for SkipTree algorithm (sparse basis transformation to the canonical repetition code) proposed in this paper.

The code deformation scheme presented in this paper preserves code distance and maintains sparsity in the deformed quantum code.