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Fiber Bundle Codes: Breaking the \(N^{1/2} \operatorname{polylog}(N)\) Barrier for Quantum LDPC Codes
Preprint
08 September 2020
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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.