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QIP2021 | Fiber Bundle Codes: Breaking the N^{1/2} polylog(N) Barrier... (Matthew Hastings)
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Fiber Bundle Codes: Breaking the N^{1/2} polylog(N) Barrier for Quantum LDPC Codes
Authors: Matthew Hastings, Jeongwan Haah and Ryan O'Donnell
Affiliations: Microsoft | Microsoft | Carnegie Mellon University
Abstract
We present a quantum LDPC code family that has distance Omega(N^{3/5}/polylog(N)) and Theta(N^{3/5}) logical qubits, up to polylogs, 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.
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Authors: Matthew Hastings, Jeongwan Haah and Ryan O'Donnell
Affiliations: Microsoft | Microsoft | Carnegie Mellon University
Abstract
We present a quantum LDPC code family that has distance Omega(N^{3/5}/polylog(N)) and Theta(N^{3/5}) logical qubits, up to polylogs, 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.
Get entangled with us!
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