{"id":719989,"date":"2021-01-22T15:58:40","date_gmt":"2021-01-22T23:58:40","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&#038;p=719989"},"modified":"2021-01-22T16:03:48","modified_gmt":"2021-01-23T00:03:48","slug":"fiber-bundle-codes-breaking-the-n1-2-polylogn-barrier-for-quantum-ldpc-codes","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/fiber-bundle-codes-breaking-the-n1-2-polylogn-barrier-for-quantum-ldpc-codes\/","title":{"rendered":"Fiber Bundle Codes: Breaking the N^1\/2 polylog(N) Barrier for Quantum LDPC Codes"},"content":{"rendered":"<p>We present a quantum LDPC code family that has distance \\(\\Omega(N^{3\/5}\/{polylog}(N))\\) and \\(\\tilde\\Theta(N^{3\/5})\\) logical qubits, where N is the code length. This is the first quantum LDPC code construction which achieves distance greater than \\(N^{1\/2} {polylog}(N)\\). The construction is based on generalizing the homological product of codes to a fiber bundle.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We present a quantum LDPC code family that has distance and logical qubits, where N is the code length. This is the first quantum LDPC code construction which achieves distance greater than . 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