Paper Citation Record · LEDGER

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound

As of 19 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 3 inbound Pith citation observations for arXiv:2506.15636.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.15636 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:38:15.586169Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:13:45.294742Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-25T04:05:20.748919Z

Reference resolution

43 of 43 outbound references displayed

verified exact0
verified fuzzy27
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 18b977d1-dd59-4086-a689-53505fc3ca26 · outbound

This paper cites Scheme for reducing decoherence in quantum computer memory,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Scheme for reducing decoherence in quantum computer memory,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:16.111137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 88419115-70bc-4358-bc6c-60397ebc0e7e · outbound

This paper cites Error correcting codes in quantum theory,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Error correcting codes in quantum theory,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:15.425725Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9eec9e2c-d6db-4754-b32f-7fe4e0227374 · outbound

This paper cites Stabilizer codes and quantum error correction,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Stabilizer codes and quantum error correction,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:16.090676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8f1ea6e3-b77b-4a7c-9b4a-c9dec6bf9156 · outbound

This paper cites Fault-tolerant quantum computation by anyons,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Fault-tolerant quantum computation by anyons,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:16.077959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9aa2e32c-227e-41b1-97d1-598f0aa137ec · outbound

This paper cites Topological quantum memory,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Topological quantum memory,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:15.438163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61e23a9b-8e5c-487b-83b5-46a0d49aa7bb · outbound

This paper cites Concatenated Quantum Codes.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Concatenated Quantum Codes

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:15.442093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97960f20-ca35-43bc-841c-19d447ba475f · outbound

This paper cites Surface codes: Towards practical large-scale quantum computation,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Surface codes: Towards practical large-scale quantum computation,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:15.446957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 340656aa-96e0-4f9f-9afd-d3b21ce87a13 · outbound

This paper cites Suppressing quantum errors by scaling a surface code logical qubit,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Suppressing quantum errors by scaling a surface code logical qubit,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:16.048656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 88ec4817-f932-4903-ad0d-9329d80cf1a3 · outbound

This paper cites Low-density parity-check codes,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Low-density parity-check codes,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:16.034094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5d7962e6-17c1-490e-a27a-d154ea7f6004 · outbound

This paper cites Near shannon limit performance of low density parity check codes,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Near shannon limit performance of low density parity check codes,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:16.021455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 783e397f-7c16-485c-821a-66f2cd4f5e02 · outbound

This paper cites Design of capacity-approaching irregular low-density parity-check codes,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Design of capacity-approaching irregular low-density parity-check codes,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:16.008898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2fe372cf-4145-4d9b-9273-199889b6dfad · outbound

This paper cites Sparse-graph codes for quantum error correction,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Sparse-graph codes for quantum error correction,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.995520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 098d3546-a0f9-4676-bd2e-d0f94b28405c · outbound

This paper cites Quantum quasi-cyclic LDPC codes,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Quantum quasi-cyclic LDPC codes,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.982534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7ff64e7b-7ad9-4b06-97c0-0b75c68c696b · outbound

This paper cites Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:15.473647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ca21aca-cdcb-47d5-bb00-742815e0a197 · outbound

This paper cites Asymptotically good quantum and locally testable classical LDPC codes,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Asymptotically good quantum and locally testable classical LDPC codes,

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:15.477322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aee6f16f-1693-4d82-970a-eec483ebd494 · outbound

This paper cites Quantum codes from high-dimensional manifolds,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Quantum codes from high-dimensional manifolds,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.953657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5c8201ec-f0a2-4726-94db-937dabca7163 · outbound

This paper cites Balanced product quantum codes,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Balanced product quantum codes,

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:15.484961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 239d2228-6fe9-421c-8be8-35294dbb14b2 · outbound

This paper cites an unresolved cited work.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:38:15.932210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 806671b7-0193-48b1-9d1b-e3f0570f46eb · outbound

This paper cites Richardson and R.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Richardson and R

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.919797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 55ed258a-c4b2-4966-935f-d6c1b69393a2 · outbound

This paper cites A generalization of the finite-length scaling approach beyond the bec,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound A generalization of the finite-length scaling approach beyond the bec,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.907110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f08489cf-6f15-4a9c-aeb8-b566904bfa50 · outbound

This paper cites Soft-decision decoding of linear block codes based on ordered statistics,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Soft-decision decoding of linear block codes based on ordered statistics,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.894626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8b69f5e7-5cfa-41e6-9734-a28fa3c91a5b · outbound

This paper cites Degenerate quantum LDPC codes with good finite length performance,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Degenerate quantum LDPC codes with good finite length performance,

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:15.503808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5bebd7e1-a46b-4bc8-8d01-86c6d4b6bcf1 · outbound

This paper cites Trapping sets of quantum LDPC codes,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Trapping sets of quantum LDPC codes,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.873645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 64ad1225-c7a6-41f3-8772-2303344a2519 · outbound

This paper cites Enhanced Min-Sum Decoding of Quantum Codes Using Previous Iteration Dynamics.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Enhanced Min-Sum Decoding of Quantum Codes Using Previous Iteration Dynamics

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:15.511222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 281fed14-0f08-4184-8c95-7dfbb4d151d3 · outbound

This paper cites Belief propagation decoding of quantum LDPC codes with guided decimation,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Belief propagation decoding of quantum LDPC codes with guided decimation,

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:15.515359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdb31876-e590-4667-99ac-5b85e2da87cc · outbound

This paper cites A joint code and belief propagation decoder design for quantum LDPC codes,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound A joint code and belief propagation decoder design for quantum LDPC codes,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.851872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 26aebfac-6ca7-47c4-84a7-7ad138d68758 · outbound

This paper cites Low-density parity check codes over GF(q),.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Low-density parity check codes over GF(q),

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.839383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4ee1db37-44b5-4d79-93c4-50a289c84aea · outbound

This paper cites Design of nonbinary LDPC codes for arbitrary discrete-memoryless channels,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Design of nonbinary LDPC codes for arbitrary discrete-memoryless channels,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.826800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f7612b6a-c584-4a9c-971e-4f6ad641bcb6 · outbound

This paper cites Decoding algorithms for nonbinary LDPC codes over GF(q),.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Decoding algorithms for nonbinary LDPC codes over GF(q),

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.814160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 488d9820-13ef-4eab-b92a-d9a88f7ae31d · outbound

This paper cites Quantum error correction beyond the bounded distance decoding limit,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Quantum error correction beyond the bounded distance decoding limit,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.801596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b8fc0ada-ed3b-49dc-9c89-7e4c7c7298f1 · outbound

This paper cites Quantum Error Correction near the Coding Theoretical Bound.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Quantum Error Correction near the Coding Theoretical Bound

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:15.539121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5eda4cb-2875-49c3-beee-42b8c39acea1 · outbound

This paper cites A survey on high-throughput non-binary LDPC decoders: ASIC, FPGA, and GPU architectures,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound A survey on high-throughput non-binary LDPC decoders: ASIC, FPGA, and GPU architectures,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.786825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 234c2088-2c23-438d-a797-1ad187ef2c49 · outbound

This paper cites High-throughput software LDPC decoder on GPU,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound High-throughput software LDPC decoder on GPU,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.773775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d12be944-b461-42b8-b58b-f93686172c17 · outbound

This paper cites Quantum Error Correction with Girth-16 Non-Binary LDPC Codes via Affine Permutation Construction.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Quantum Error Correction with Girth-16 Non-Binary LDPC Codes via Affine Permutation Construction

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:15.550858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd17c231-023a-4739-8747-3d64539e6bd3 · outbound

This paper cites Efficient Mitigation of Error Floors in Quantum Error Correction using Non-Binary Low-Density Parity-Check Codes.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Efficient Mitigation of Error Floors in Quantum Error Correction using Non-Binary Low-Density Parity-Check Codes

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:15.554901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 066a8a2e-4ff2-4b4d-800b-3442fd98b037 · outbound

This paper cites A combining method of structured LDPC codes from affine permutation matrices,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound A combining method of structured LDPC codes from affine permutation matrices,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.761242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f8435d6a-a922-4e23-b8c5-c2df97799fdf · outbound

This paper cites Linear Permutation Polynomial Codes,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Linear Permutation Polynomial Codes,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.748344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation adc51cb5-91e1-401c-a516-4ecbae524e3d · outbound

This paper cites Quasicyclic low-density parity-check codes from circulant permutation matrices,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Quasicyclic low-density parity-check codes from circulant permutation matrices,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.735398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e81bdc12-c031-470a-b174-ba809eca1a0d · outbound

This paper cites Good quantum error-correcting codes exist,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Good quantum error-correcting codes exist,

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:15.570955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98d6fc25-ef80-495a-a177-b60313302fe3 · outbound

This paper cites Multiple-particle interference and quantum error correction,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Multiple-particle interference and quantum error correction,

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.715050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a6ffd7a1-3dc1-4be6-a46c-5ffc583bb878 · outbound

This paper cites Structured low-density parity-check codes: Algebraic constructions,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Structured low-density parity-check codes: Algebraic constructions,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.702788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 32c29811-6191-4bd1-b608-d7e7d36e455a · outbound

This paper cites Weight distribution of low-density parity-check codes,.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Weight distribution of low-density parity-check codes,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:38:15.689684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d0f2da05-ed6c-48fd-aeb8-134208699b53 · outbound

This paper cites an unresolved cited work.

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-15T19:38:15.586169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 253b46c0-0216-4ff2-82c4-92d1f25a3cf1 · inbound

Sharp Error-Rate Transitions in Quantum QC-LDPC Codes under Joint BP Decoding cites this paper.

Sharp Error-Rate Transitions in Quantum QC-LDPC Codes under Joint BP Decoding Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T17:13:45.294742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc26c146-1a68-4675-8575-4809da555d6b · inbound

Heuristic Search for Minimum-Distance Upper-Bound Witnesses in Quantum APM-LDPC Codes cites this paper.

Heuristic Search for Minimum-Distance Upper-Bound Witnesses in Quantum APM-LDPC Codes Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-10T11:10:09.146239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ea0d5798-db96-4c1a-9f1b-1114cc4f0970 · inbound

A Two-Branch Finite-Field Construction for Regular CSS LDPC Bases cites this paper.

A Two-Branch Finite-Field Construction for Regular CSS LDPC Bases Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-25T04:05:20.752236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.