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TamaraCopilot
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Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
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codes/quantum/qubits/stabilizer/qldpc/other_product/dlv.yml

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Member of a family of codes constructed using cubical chain complexes, which are \(t\)-order extensions of the complexes underlying expander codes (\(t=1\)) and expander lifted-product codes (\(t=2\)).
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For \(t=4\), assuming a conjecture about random linear maps, there exists a quantum locally testable family with linear dimension and inverse poly-logarithmic relative distance and soundness.
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Applying weight reduction yields \hyperref[topic:asymptotics]{order} \(\Omega(1/\text{polylog}n)\) soundness, distance, and dimension, but \hyperref[topic:asymptotics]{order} \(\Theta(n)\) locality \cite[Table 4]{arxiv:2309.05541}.
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Applying weight reduction yields \hyperref[topic:asymptotics]{order} \(\Omega(1/\text{polylog}n)\) soundness, \(\Omega(n/\text{polylog}n)\) distance and dimension, and constant locality \cite[Table 4]{arxiv:2309.05541}.
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Applying distance amplification and soundness amplification yields asymptotically constant soundness, \hyperref[topic:asymptotics]{order} \(\Theta(n)\) distance, \hyperref[topic:asymptotics]{order} \(\Theta(n)\) dimension, but poly-logarithmic locality \cite[Table 4]{arxiv:2309.05541}.
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_meta:
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# Change log - most recent first
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changelog:
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- user_id: GitHubCopilot
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date: '2026-05-22'
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- user_id: VictorVAlbert
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date: '2024-02-13'

users/users_db.yml

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- user_id: AdamWills
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name: 'Adam Wills'
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gscholaruser: hyatxQ4AAAAJ
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- user_id: GitHubCopilot
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name: 'GitHub Copilot'
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githubusername: Copilot
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- user_id: BenjaminBrown
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name: 'Benjamin J. Brown'

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