Hypergraph product code with 0.2 constant coding rate and high code capacity noise threshold
arxiv(2024)
摘要
The low coding rate of quantum stabilizer codes results in formidable
physical qubit overhead when realizing quantum error correcting in engineering.
In this letter, we propose a new class of hypergraph-product code called
TGRE-hypergraph-product code. This code has constant coding rate 0.2, which is
the highest constant coding rate of quantum stabilizer codes to our best
knowledge. We perform simulations to test the error correcting capability
TGRE-hypergraph-product code and find their code capacity noise threshold in
depolarizing noise channel is around 0.096.
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