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Paper Citation Record · LEDGER

Quantum Error Correction near the Coding Theoretical Bound

As of 23 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 8 inbound Pith citation observations for arXiv:2412.21171.

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

pith.paper-citation-record.v1
2412.21171 v4

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:06:17.696209Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:40:25.787639Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T05:16:02.598706Z

Reference resolution

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy21
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4c1da12e-4aa6-4d0f-8ba6-9effdbb51ea6 · outbound

This paper cites Nature 626(7997), 58–65 (2024).

Quantum Error Correction near the Coding Theoretical Bound Nature 626(7997), 58–65 (2024)

Reference 1

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verified fuzzy
raw_fallback, observed 2026-08-10T23:06:18.362457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.578276Z digest=sha256:24e9e1aa190396dcda06e32360a18207c35ddc537df80b42163f9639c5bd92af

Observation 00e0e3be-8abf-4e6e-b4b1-dbd10e02c2a3 · outbound

This paper cites Quantum 2, 79 (2018).

Quantum Error Correction near the Coding Theoretical Bound Quantum 2, 79 (2018)

Reference 2

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no resolver link, observed 2026-08-10T23:06:17.583685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:06:17.583685Z digest=sha256:067cb24a950e7fe8b952ae28096274233a38892a9491ede4f9dfe99feaaade1c

Observation 0bbbd5e5-b4ae-4023-8523-31e70238a50c · outbound

This paper cites IRE Transactions on information theory 8(1), 21–28 (1962).

Quantum Error Correction near the Coding Theoretical Bound IRE Transactions on information theory 8(1), 21–28 (1962)

Reference 3

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raw_fallback, observed 2026-08-10T23:06:18.332861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.588483Z digest=sha256:ccfa1e4874246ee9b1011bc3a1c7baa4d28f7984c2a98f31908ca0dce3d84d94

Observation c5264b4c-a0dd-459f-a504-88b418a9cd42 · outbound

This paper cites IEEE Transactions on Information Theory 57(2), 803–834 (2011).

Quantum Error Correction near the Coding Theoretical Bound IEEE Transactions on Information Theory 57(2), 803–834 (2011)

Reference 4

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raw_fallback, observed 2026-08-10T23:06:18.317699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.593651Z digest=sha256:a90ef9b36ec401021f4fd8ff4418f493088af75bbf3271eaab00d82faee09e80

Observation 7ff4951e-3858-403b-abfe-065f54cd8096 · outbound

This paper cites Physical Review A 55(3), 1613 (1997).

Quantum Error Correction near the Coding Theoretical Bound Physical Review A 55(3), 1613 (1997)

Reference 5

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raw_fallback, observed 2026-08-10T23:06:18.303588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.598069Z digest=sha256:482feb5a5ba4ecb23f6cb8c76a060b905b3383e290ee85bb94b522c3d58571f6

Observation c05418d6-0f5a-476a-ab91-97da02e8d40c · outbound

This paper cites In: Lecture Notes, MSRI Workshop on Quantum Computation (2002).

Quantum Error Correction near the Coding Theoretical Bound In: Lecture Notes, MSRI Workshop on Quantum Computation (2002)

Reference 6

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raw_fallback, observed 2026-08-10T23:06:18.286852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.602500Z digest=sha256:2b4bb77564e5cd56e3a5c617df4b37a2097ea4d6db8cbcce5ae3245fe82101fe

Observation e65327dc-6df7-47ef-9bdb-9c3f89272e6b · outbound

This paper cites IEEE Transactions on Information Theory 51(1), 44–55 (2005).

Quantum Error Correction near the Coding Theoretical Bound IEEE Transactions on Information Theory 51(1), 44–55 (2005)

Reference 7

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raw_fallback, observed 2026-08-10T23:06:18.271954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.607724Z digest=sha256:3c5e8841bee1fb80dc78aadd6c66f7831f34799f64d02aa457a983a5906d40c6

Observation b2e564d9-cd5d-4237-beda-a07636cd4bf7 · outbound

This paper cites IPN progress report 42(154), 42–154 (2003).

Quantum Error Correction near the Coding Theoretical Bound IPN progress report 42(154), 42–154 (2003)

Reference 8

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raw_fallback, observed 2026-08-10T23:06:18.255679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.615043Z digest=sha256:c6b3b378b669940a86350a973ace5471f11ba7a24c9bef063aa06d8624803ca4

Observation eee738ed-1a59-4feb-ba2f-5fc706d1b095 · outbound

This paper cites IEEE transactions on information theory 50(8), 1788–1793 (2004) 17.

Quantum Error Correction near the Coding Theoretical Bound IEEE transactions on information theory 50(8), 1788–1793 (2004) 17

Reference 9

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verified fuzzy
raw_fallback, observed 2026-08-10T23:06:18.237506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.620162Z digest=sha256:591bea6bb6e8c4c7c961d64839d80344eff4f60d0357b3bb8e87e07a5c3d5ebd

Observation 11dc9c89-cb8e-43a3-9806-d68a66a918ec · outbound

This paper cites In: 2006 IEEE International Symposium on Information Theory, pp.

Quantum Error Correction near the Coding Theoretical Bound In: 2006 IEEE International Symposium on Information Theory, pp

Reference 10

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raw_fallback, observed 2026-08-10T23:06:18.218794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.625061Z digest=sha256:09d3884df66cd6898621d2101756d38bc04f81e323702795119f91a90fc4088c

Observation afad01a2-0f82-4c92-80c5-b121bab4cd3c · outbound

This paper cites In: 2019 IEEE International Symposium on Information Theory (ISIT), pp.

Quantum Error Correction near the Coding Theoretical Bound In: 2019 IEEE International Symposium on Information Theory (ISIT), pp

Reference 11

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raw_fallback, observed 2026-08-10T23:06:18.006858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.629850Z digest=sha256:2ebfe01d1a593d59c16f912bfcc6edcae9d42c8a260fecde120d79af9ebe9c2d

Observation c9ef9760-fcfb-44b3-ad0f-32fd054b2afa · outbound

This paper cites In: 1998 Information Theory Workshop (Cat.

Quantum Error Correction near the Coding Theoretical Bound In: 1998 Information Theory Workshop (Cat

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:06:18.202844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.634856Z digest=sha256:d92dcaa2427eaed5b5de93d4ae5a7338e1223eb11a16c9a0e5626cf13653b347

Observation 6b5e674d-4420-4c8b-bddb-816abf36a966 · outbound

This paper cites Physical Review A 54(2), 1098 (1996).

Quantum Error Correction near the Coding Theoretical Bound Physical Review A 54(2), 1098 (1996)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:06:18.187786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.639542Z digest=sha256:6133b3b828adf601f25a84df4e93f21faf6bd17f9e39bfdecf7b98f1812f1d80

Observation 7b46f937-827c-4994-9c33-7124260bce47 · outbound

This paper cites Physical Review Letters 77(5), 793 (1996).

Quantum Error Correction near the Coding Theoretical Bound Physical Review Letters 77(5), 793 (1996)

Reference 14

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verified fuzzy
raw_fallback, observed 2026-08-10T23:06:18.171420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.644054Z digest=sha256:fea86a1f53a839b296c81a9d823044981e4a116c377ea491389586c38f71cd67

Observation 751bc4a1-08a2-4b8a-a545-46f5794e48b4 · outbound

This paper cites In: 2007 IEEE International Symposium on Information Theory, pp.

Quantum Error Correction near the Coding Theoretical Bound In: 2007 IEEE International Symposium on Information Theory, pp

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:06:18.155318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.649373Z digest=sha256:5393e7884ed83cce777eb5a39faeb22af10b226314dfd110554bba151152516e

Observation cf300c08-2b62-4e75-9a9b-b6f479e4bd35 · outbound

This paper cites IEEE Transactions on Information Theory 58(2), 1223–1230 (2011).

Quantum Error Correction near the Coding Theoretical Bound IEEE Transactions on Information Theory 58(2), 1223–1230 (2011)

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:06:18.139658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.654297Z digest=sha256:239cd17172a5deee03446e20d10f8d1d7fda92ea117e772255e1863168a05048

Observation d228f5c9-391c-47fb-81c2-cda4e176b910 · outbound

This paper cites IEEE Transactions on Information Theory 50(10), 2315–2330 (2004).

Quantum Error Correction near the Coding Theoretical Bound IEEE Transactions on Information Theory 50(10), 2315–2330 (2004)

Reference 17

Resolution
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raw_fallback, observed 2026-08-10T23:06:18.122493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.658977Z digest=sha256:76582b45efd72b5718b46481044c6aacc48ae7287f7cab9fafce24b50894b49c

Observation 59431d88-95c6-4888-a4cc-9aac8947c835 · outbound

This paper cites IEEE Transactions on information theory 57(4), 2213–2224 (2011).

Quantum Error Correction near the Coding Theoretical Bound IEEE Transactions on information theory 57(4), 2213–2224 (2011)

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:06:18.105425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.663502Z digest=sha256:5639170a946ef629dd11da507dfe783f5eed3b1aaf1684c89a2ee98d24f85bed

Observation c3de2248-822c-43e9-b5a1-226d3acd7fcf · outbound

This paper cites Physical review A 52(4), 2493 (1995).

Quantum Error Correction near the Coding Theoretical Bound Physical review A 52(4), 2493 (1995)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:06:18.090201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.668580Z digest=sha256:da5a5fd00eb6328b861d41e1f923c6448135e72573a196ef9ef8a0a99d5543cb

Observation f92a36eb-6d0c-4eb6-9246-31bc9eafb390 · outbound

This paper cites IEEE Transactions on information theory 47(2), 498–519 (2001).

Quantum Error Correction near the Coding Theoretical Bound IEEE Transactions on information theory 47(2), 498–519 (2001)

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:06:18.073540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.673124Z digest=sha256:4bda3c28694141fa9a6716ae554e09f5dcba76488a0f2f828520bdf21e6d763d

Observation bf3932e3-7d0b-47f5-b264-71cfff05274a · outbound

This paper cites In: 2024 IEEE International Symposium on Information Theory (ISIT), pp.

Quantum Error Correction near the Coding Theoretical Bound In: 2024 IEEE International Symposium on Information Theory (ISIT), pp

Reference 21

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unresolved
no resolver link, observed 2026-08-10T23:06:17.677716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:06:17.677716Z digest=sha256:e4c1b2ba2a649f068135c5c8729beda551c9745b33b477647f1414d06c71888d

Observation d78cb5e8-4cc4-49cf-8304-3468bb4dc9b5 · outbound

This paper cites iEEE Access 3, 2492–2519 (2015).

Quantum Error Correction near the Coding Theoretical Bound iEEE Access 3, 2492–2519 (2015)

Reference 22

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raw_fallback, observed 2026-08-10T23:06:18.057766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.682496Z digest=sha256:6ab250b96167fba818d428608e963258c36580ab177d46f74c8df4e2c96e330b

Observation abaf9c3e-62b9-435d-95f2-37a0469f2d58 · outbound

This paper cites Proceedings of the IEEE, 1–51 (2025) https://doi.org/10.1109/JPROC.2024.3510394.

Quantum Error Correction near the Coding Theoretical Bound Proceedings of the IEEE, 1–51 (2025) https://doi.org/10.1109/JPROC.2024.3510394

Reference 23

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unresolved
no resolver link, observed 2026-08-10T23:06:17.687045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:06:17.687045Z digest=sha256:7b601b1477013aadaec6477c9d8a93ad0f9e456aa05e667b366d796f4bd16e77

Observation 58006e06-b0ad-4cd8-b0fa-cac363c630ca · outbound

This paper cites In: 2025 IEEE International Symposium on Information Theory (ISIT) (2025).

Quantum Error Correction near the Coding Theoretical Bound In: 2025 IEEE International Symposium on Information Theory (ISIT) (2025)

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:06:18.040547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.691676Z digest=sha256:3ed3606dfbd25d23287095c7d67f78614cf31f292047deebc092ab17fff28470

Observation 83343ae2-a25d-4141-91e9-39c4630fb8de · outbound

This paper cites Elsevier Science Publishers BV google schola 2, 39–47 (1977) 9 Author Contributions The two authors contributed equally to this work.

Quantum Error Correction near the Coding Theoretical Bound Elsevier Science Publishers BV google schola 2, 39–47 (1977) 9 Author Contributions The two authors contributed equally to this work

Reference 25

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verified fuzzy
raw_fallback, observed 2026-08-10T23:06:18.023419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T23:06:17.696209Z digest=sha256:9957c319daa26bc89fb6d5b45853e04377b35ea04045ce3f23463333106ff00b

Pith citing papers

Observation 7b79272a-ed7f-4039-8029-6b5c938fcbb7 · inbound

Explicit Construction of Quantum Quasi-Cyclic Low-Density Parity-Check Codes with Column Weight 2 and Girth 12 cites this paper.

Explicit Construction of Quantum Quasi-Cyclic Low-Density Parity-Check Codes with Column Weight 2 and Girth 12 Quantum Error Correction near the Coding Theoretical Bound

Reference 13

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unresolved
no resolver link, observed 2026-08-10T16:16:18.608955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:16:18.608955Z digest=sha256:430913ef7eb354e8ead59bde1bb60e43704583eb777dcc99314fb305077e27c7

Observation 6d59b7b8-bad7-439a-8b57-51d9a4cca6ad · inbound

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

Efficient Mitigation of Error Floors in Quantum Error Correction using Non-Binary Low-Density Parity-Check Codes Quantum Error Correction near the Coding Theoretical Bound

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T15:31:35.454596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:31:35.454596Z digest=sha256:405a85fa3eaec05e362ee9f2d05856159d1178b3cb5f8dd82a6e741ad13c39a7

Observation 39cea993-283b-48b5-bdac-edd9b4a86a03 · inbound

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

Quantum Error Correction with Girth-16 Non-Binary LDPC Codes via Affine Permutation Construction Quantum Error Correction near the Coding Theoretical Bound

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-16T10:40:25.787639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T10:40:25.787639Z digest=sha256:7643461d7dc16a5611d97e851b47e4086362961f513b90cc83b542b8405a619b

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

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound cites this paper.

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

Reference 31

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:38:15.539121Z digest=sha256:6205c48b7f7c9f140580494d5b56f3eb4dbb2de262401b74153aada6e434b464

Observation 9c77c566-206e-4009-9515-1864c4e8ba25 · 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 near the Coding Theoretical Bound

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T17:13:44.585581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T17:13:44.585581Z digest=sha256:4ae7ca02ba2bdd7e34881587a4f7bc888cc7163b0c4531e58712170cd8937e00

Observation fd9f65a9-2be1-4fc7-8bcc-5769d1601593 · inbound

Nonlinear photonic architecture for fault-tolerant quantum computing cites this paper.

Nonlinear photonic architecture for fault-tolerant quantum computing Quantum Error Correction near the Coding Theoretical Bound

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-04T11:08:56.242874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:08:56.242874Z digest=sha256:f7f37c5eae9349283d52f766f9d480ea2228f4484a7bf701971dd1d74458d2e9

Observation 010157eb-fab2-47c7-a810-4053cacdf65a · inbound

Scalable Neural Decoders for Practical Fault-Tolerant Quantum Computation cites this paper.

Scalable Neural Decoders for Practical Fault-Tolerant Quantum Computation Quantum Error Correction near the Coding Theoretical Bound

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-05-26T02:02:58.276187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-10T18:14:22.026474Z digest=sha256:ac6a1f0a0fdae6591a3d7396f18c01ac2c488fef4ad743ffe92e8cec3450c88d

Observation 69f6c21e-f049-4fae-a9c7-c07046370b5b · inbound

Towards Ultra-High-Rate Quantum Error Correction with Reconfigurable Atom Arrays cites this paper.

Towards Ultra-High-Rate Quantum Error Correction with Reconfigurable Atom Arrays Quantum Error Correction near the Coding Theoretical Bound

Reference 49

Resolution
verified exact
arxiv_id, observed 2026-05-26T02:02:58.276187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-10T09:09:21.862128Z digest=sha256:167fcb440dcdb9fed15c054131649dd38056a990bf3f860affaa7ddf0948be39