{"paper":{"title":"Clifford-deformed zero-rate LDPC codes with 50% biased noise thresholds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Clifford-deformed zero-rate LDPC codes achieve 50% thresholds under pure dephasing when biased logical operators scale slower than distance.","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Arpit Dua, Arthur Pesah, Jagannath Das, Pedro Medina, Sayandip Dhara","submitted_at":"2026-05-14T19:18:25Z","abstract_excerpt":"Applying single-qubit Clifford unitaries to a Pauli stabilizer code produces a Clifford-deformed variant whose stabilizers remain Pauli operators, but with locally rotated Pauli axes. Such deformations provide a simple way to tailor a fixed code to anisotropic noise, and have enabled unusually high thresholds under strongly biased dephasing. In this work, we discuss zero-rate quantum low-density parity-check (LDPC) codes, for which there exist Clifford-deformed variants where the number of biased logical operators scales slower than the distance, or there exists a basis of logical operators wh"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"There exist Clifford-deformed variants of zero-rate quantum LDPC codes where the number of biased logical operators scales slower than the distance or a basis of logical operators satisfies certain overlap scaling conditions, in which case the code-capacity threshold under i.i.d. pure dephasing noise approaches 50%.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that a Clifford deformation exists which preserves Pauli stabilizers while enforcing the required scaling or overlap conditions on the logical operators of the zero-rate LDPC code, as this property is what the abstract states is sufficient for the 50% threshold.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Clifford-deformed zero-rate LDPC codes achieve code-capacity thresholds approaching 50% under i.i.d. pure dephasing when the number of biased logical operators scales slower than distance or overlaps satisfy stated conditions, with new examples from tile codes.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Clifford-deformed zero-rate LDPC codes achieve 50% thresholds under pure dephasing when biased logical operators scale slower than distance.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"2e4d9a1df0350c38e92d7a5c522f1be07e71fed8c2d7d71ba0fdce6adb23b8f7"},"source":{"id":"2605.15348","kind":"arxiv","version":1},"verdict":{"id":"f040ca74-4289-4428-863a-4457bb139b6f","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T15:39:53.788289Z","strongest_claim":"There exist Clifford-deformed variants of zero-rate quantum LDPC codes where the number of biased logical operators scales slower than the distance or a basis of logical operators satisfies certain overlap scaling conditions, in which case the code-capacity threshold under i.i.d. pure dephasing noise approaches 50%.","one_line_summary":"Clifford-deformed zero-rate LDPC codes achieve code-capacity thresholds approaching 50% under i.i.d. pure dephasing when the number of biased logical operators scales slower than distance or overlaps satisfy stated conditions, with new examples from tile codes.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that a Clifford deformation exists which preserves Pauli stabilizers while enforcing the required scaling or overlap conditions on the logical operators of the zero-rate LDPC code, as this property is what the abstract states is sufficient for the 50% threshold.","pith_extraction_headline":"Clifford-deformed zero-rate LDPC codes achieve 50% thresholds under pure dephasing when biased logical operators scale slower than distance."},"integrity":{"clean":false,"summary":{"advisory":2,"critical":0,"by_detector":{"doi_compliance":{"total":2,"advisory":2,"critical":0,"informational":0}},"informational":0},"endpoint":"/pith/2605.15348/integrity.json","findings":[{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. 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