  Quantum stabilizer codes face the problem of low coding rate. In this
article, following the idea of recursively expanding Tanner graph proposed in
our previous work, we try to construct new stabilizer codes with high coding
rate, and propose XZ-type Tanner-graph-recursive-expansion (XZ-TGRE) code and
Tanner-graph-recursive-expansion hypergraph product (TGRE-HP) code. XZ-TGRE
code have zero asymptotic coding rate, but its coding rate tends to zero
extremely slowly with the growth of code length. Under the same code length,
its coding rate is much higher than that of surface code. The coding rate of
TGRE-HP is the constant 0.2, which is the highest constant coding rate of
stabilizer codes to our best knowledge. We prove that the code distance of
XZ-TGRE code scales as $O(log(N))$, and that of TGRE-HP code scales as $O(\log
\sqrt{N})$, where $N$ is the code length. Moreover, the code capacity noise
threshold of XZ-TGRE code is around 0.078, and that of TGRE-HP code is around
0.096. This articles shows that the idea of recursively expanding Tanner graph
might have potential to construct quantum codes with good performance.
