Entanglement-assisted quantum low-density parity-check codes
Abstract
This article develops a general method for constructing entanglement-assisted quantum low-density parity-check (LDPC) codes, which is based on combinatorial design theory. Explicit constructions are given for entanglement-assisted quantum error-correcting codes with many desirable properties. These properties include the requirement of only one initial entanglement bit, high error-correction performance, high rates, and low decoding complexity. The proposed method produces several infinite families of codes with a wide variety of parameters and entanglement requirements. Our framework encompasses the previously known entanglement-assisted quantum LDPC codes having the best error-correction performance and many other codes with better block error rates in simulations over the depolarizing channel. We also determine important parameters of several well-known classes of quantum and classical LDPC codes for previously unsettled cases. © 2010 The American Physical Society.
Publication Title
Physical Review A - Atomic, Molecular, and Optical Physics
Recommended Citation
Fujiwara, Y., Clark, D., Vandendriessche, P., De Boeck, M., & Tonchev, V. (2010). Entanglement-assisted quantum low-density parity-check codes. Physical Review A - Atomic, Molecular, and Optical Physics, 82 (4) https://doi.org/10.1103/PhysRevA.82.042338
