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Fiber Bundle Codes: Breaking the $N^{1/2} \operatorname{polylog}(N)$ Barrier for Quantum LDPC Codes (2009.03921v2)
Published 8 Sep 2020 in quant-ph, cs.IT, math.CO, and math.IT
Abstract: We present a quantum LDPC code family that has distance $\Omega(N{3/5}/\operatorname{polylog}(N))$ and $\tilde\Theta(N{3/5})$ logical qubits. This is the first quantum LDPC code construction which achieves distance greater than $N{1/2} \operatorname{polylog}(N)$. The construction is based on generalizing the homological product of codes to a fiber bundle.