I propose encoder and decoder architectures for entanglement-assisted (EA) quantum low-density parity-check (LDPC) codes suitable for all-optical implementation. I show that two basic gates needed for EA quantum error correction, namely, controlled-NOT (CNOT) and Hadamard gates can be implemented based on Mach–Zehnder interferometer. In addition, I show that EA quantum LDPC codes from balanced incomplete block designs of unitary index require only one entanglement qubit to be shared between source and destination.
© 2010 Optical Society of America
Original Manuscript: March 1, 2010
Manuscript Accepted: March 13, 2010
Published: April 30, 2010
Ivan B. Djordjevic, "Photonic entanglement-assisted quantum low-density parity-check encoders and decoders," Opt. Lett. 35, 1464-1466 (2010)