LDPC-Coded $M$ -ary PSK Optical Coherent State Quantum Communication

This paper addresses two important problems of interest for deep-space optical communications, quantum inter-chip/intra-chip optical communications and quantum-key distribution: 1) the problem of coded
M
-ary phase-shift keying optical coherent-state quantum communication in the absence of background radiation, and 2) the problem of coded binary coherent state communication in the presence of background radiation. In both cases large girth low-density parity-check (LDPC) codes are used as channel codes. With girth-10 LDPC-code of rate 0.8 and BPSK, the bit-error ratio of 10
<sup>-

8</sup>
can be achieved for average number of signal photons of 0.73, resulting in net-effective coding gain of 7.63 dB.