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Research PaperResearchia:202609.18029

Asymptotically Good Quantum Locally Testable Codes

William Gay

Abstract

We construct explicit families of asymptotically good quantum locally testable codes over qubits. More precseily, we construct explicit quantum LDPC CSS codes over qubits having constant rate, constant relative distance and constant weight local testers with constant soundness. --- Source: arXiv:2609.20780v1 - http://arxiv.org/abs/2609.20780v1 PDF: https://arxiv.org/pdf/2609.20780v1 Original Link: http://arxiv.org/abs/2609.20780v1

Submitted: September 18, 2026Subjects: Quantum Physics; Quantum Computing

Description / Details

We construct explicit families of asymptotically good quantum locally testable codes over qubits. More precseily, we construct explicit quantum LDPC CSS codes over qubits having constant rate, constant relative distance and constant weight local testers with constant soundness.


Source: arXiv:2609.20780v1 - http://arxiv.org/abs/2609.20780v1 PDF: https://arxiv.org/pdf/2609.20780v1 Original Link: http://arxiv.org/abs/2609.20780v1

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Submission Info
Date:
Sep 18, 2026
Topic:
Quantum Computing
Area:
Quantum Physics
Comments:
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