Photonic entanglement-assisted quantum low-density parity-check encoders and decoders.
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.
Djordjevic
Ivan B
IB
Electrical and Computer Engineering, University of Arizona, 1230 E. Speedway Boulevard, Tucson, Arizona 85721, USA. ivan@ece.arizona.edu