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This paper presents explicit constructions of asymptotically good quantum locally testable codes using qubit-based LDPC CSS architectures with constant rate and distance properties. These developments advance the theoretical limits of fault-tolerant quantum error correction, a critical requirement for scalable quantum computing systems. The work addresses fundamental challenges in maintaining code efficiency while ensuring robustness against local errors.

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Asymptotically Good Quantum Locally Testable Codes

arXiv18 septembrie 20261 min de cititArticolul și perspectiva sunt în engleză.

arXiv:2609.20780v1 Announce Type: new 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.

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.

arXiv:2609.20780 [quant-ph]

(or arXiv:2609.20780v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.20780 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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