New quantum LDPC codes based on projective geometry

Abstract

Abstract With the progress in techniques for correcting errors in quantum computing, quantum low density parity check (QLDPC) codes have gained increasing significance within the field of quantum error correction. This paper focuses on different strategies for the construction of QLDPC codes, which are based on all points and lines as well as partial points and lines from projective geometry. Finally, a series of simulation analyses are presented.

Keywords

• Quantum low density parity check codes
• Projective geometry
• Simulation