Table 3 Overview of secret key rate and GPU (NVIDIA GeForce GTX 1080) throughput at the maximum reconciliation distance with Rcode = 0.02 multi-edge codes and Nprivacy = 1012 bits
From: Quasi-cyclic multi-edge LDPC codes for long-distance quantum cryptography
Reconciliation dimension | Maximum reconciliation efficiency | LDPC code | Maximum distance (km) | Finite secret key rate \(K_{{\mathrm{finite}}}^\prime\) at max distance with frep = 1 MHz (bit/s) | Upper bound on key rate \(K_{{\mathrm{lim}}}^\prime\) at max distance with frep = 1 MHz (Kbit/s) | GPU raw throughput \(K_{{\mathrm{GPU}}}^{{\mathrm{raw}}}\) (Mbit/s) | GPU info. throughput \(K_{{\mathrm{GPU}}}^\prime\) (Kbit/s) | \(K_{{\mathrm{GPU}}}^\prime\) speedup over \(K_{{\mathrm{lim}}}^\prime\) (\(K_{{\mathrm{GPU}}}^\prime\)/\(K_{{\mathrm{lim}}}^\prime\)) |
|---|---|---|---|---|---|---|---|---|
d = 1 | β = 0.960 | Random | 122.40 | 0.021 | 5.152 | 0.613 | 0.111 | 0.020× |
QC, q = 21 | 122.40 | 0.042 | 5.152 | 1.887 | 0.686 | 0.130× | ||
QC, q = 50 | 122.40 | 0.023 | 5.128 | 1.966 | 1.426 | 0.280× | ||
d = 2 | β = 0.970 | Random | 127.20 | 0.005 | 4.129 | 0.612 | 0.222 | 0.050× |
QC, q = 21 | 127.20 | 0.020 | 4.129 | 1.856 | 2.70 | 0.650× | ||
QC, q = 50 | 127.20 | 0.009 | 4.129 | 1.983 | 0.360 | 0.090× | ||
d = 4 | β = 0.970 | Random | 127.20 | 0.010 | 4.129 | 0.604 | 0.439 | 0.110× |
QC, q = 21 | 127.20 | 0.030 | 4.129 | 1.818 | 3.938 | 0.950× | ||
QC, q = 50 | 127.20 | 0.069 | 4.129 | 1.855 | 2.692 | 0.650× | ||
d = 8 | β = 0.990 | Random | 142.40 | 0.037 | 2.049 | 0.604 | 1.409 | 0.690× |
QC, q = 21 | 142.40 | 0.066 | 2.049 | 1.724 | 7.160 | 3.50× | ||
QC, q = 50 | 142.40 | 0.064 | 2.049 | 1.808 | 4.207 | 2.05× |
