Absorbing Sets in Quantum LDPC Codes

Understand

Iterative decoder failures of quantum low density parity check (QLDPC) codes are attributed to substructures in the code's graph, known as trapping sets, as well as degenerate errors that can arise in quantum codes.

• Failure inducing sets are subsets of codeword coordinates that, when initially in error, lead to decoding failure in a trapping set.
• The purpose of this paper is to examine failure inducing sets of QLDPC codes under syndrome-based iterative decoding.
• As for classical LDPC codes, we show that absorbing sets play a central role in understanding decoder failures.