Paper Citation Record · LEDGER

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly

As of 9 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2601.08568.

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

pith.paper-citation-record.v1
2601.08568 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-16T15:00:02.848102Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

verified exact2
verified fuzzy27
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2e35d61c-5f34-4dda-9421-881730c8cba2 · outbound

This paper cites Berardini, R.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Berardini, R

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.377409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e5317f18-c6aa-4abf-8556-5f34c399f1fc · outbound

This paper cites Betsumiya and A.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Betsumiya and A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.372710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation be891b53-c72d-44dc-b064-f58562f4e7fa · outbound

This paper cites Magic-state distillation with low overhead.Phys.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Magic-state distillation with low overhead.Phys

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.368989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1dda9119-8b07-4554-8777-d9ccf7b785e5 · outbound

This paper cites an unresolved cited work.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-16T15:01:04.361654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f9f02f0e-a5cd-4a37-ad7e-9e77076f77ed · outbound

This paper cites Camps-Moreno, H.H.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Camps-Moreno, H.H

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.358492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5378154e-dd69-4ae1-92aa-6a18522e6a60 · outbound

This paper cites Restrictions on transversal encoded quantum gate sets.Phys.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Restrictions on transversal encoded quantum gate sets.Phys

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.355165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 929db250-358a-4b8e-ad33-8dc02c8e8652 · outbound

This paper cites Asymptotically good quantum codes with transversal non-clifford gates.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Asymptotically good quantum codes with transversal non-clifford gates

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.348890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 16ae4e19-f300-462d-b8ae-a9c9bc0bc278 · outbound

This paper cites Stabilizer codes and quantum error correction.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Stabilizer codes and quantum error correction

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.345423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 30d2b0d3-fc34-46fa-ba2b-bbc813a205eb · outbound

This paper cites Hastings.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Hastings

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.342625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 453d7a8f-90b6-4adc-ae62-917456f0cbc0 · outbound

This paper cites Hastings and Jeongwan Haah.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Hastings and Jeongwan Haah

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.339953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation af7fd273-49d4-48b0-ae9f-e536197d2140 · outbound

This paper cites an unresolved cited work.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-16T15:01:04.337155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f6e83fa7-f617-4bc9-95f0-45232f752423 · outbound

This paper cites Divisible Codes for Quantum Computation.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Divisible Codes for Quantum Computation

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-16T15:01:03.228692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 40e1f1c3-53dd-4c34-bc12-e9fd5e7fac29 · outbound

This paper cites an unresolved cited work.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-16T15:01:04.334555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f91567a8-5a53-4755-b27e-1a6cb06e9e7b · outbound

This paper cites Cary Huffman and Vera Pless.Fundamentals of Error-Correcting Codes.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Cary Huffman and Vera Pless.Fundamentals of Error-Correcting Codes

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.331821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1fd2117d-45df-4c53-85fc-f09dab34a71a · outbound

This paper cites Jain and V .V.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Jain and V .V

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.328832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3afa843b-8a0d-4562-a414-72bf454a6177 · outbound

This paper cites Krishna and J.P.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Krishna and J.P

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.326537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3241f483-fdd5-4a93-8373-adfd31dff713 · outbound

This paper cites an unresolved cited work.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-05-16T15:01:04.351995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e76b4cfc-bff6-4760-9081-b1e8ea250db6 · outbound

This paper cites Nielsen and Isaac L.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Nielsen and Isaac L

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.323667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b8122d4b-c86c-42b8-a37d-e5347f1b2ae2 · outbound

This paper cites Perez and W.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Perez and W

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.320887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c47e17ab-a6e8-494f-9e5d-dbc1a0ba9f95 · outbound

This paper cites Rengaswamy, R.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Rengaswamy, R

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.318122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5e383dba-9f18-440d-8aba-79a35a517f36 · outbound

This paper cites an unresolved cited work.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-16T15:01:04.365708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ea36c5d6-526d-4c0e-bec7-dd6253cd467b · outbound

This paper cites Sloane, F.J.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Sloane, F.J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.315615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b542473b-e16f-4798-8f17-b167b1537554 · outbound

This paper cites Clifford gates with logical transversality for self-dual CSS codes.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Clifford gates with logical transversality for self-dual CSS codes

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-16T15:01:03.233349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5956892b-f2a4-4fdc-8b96-81e2f84fcb06 · outbound

This paper cites Wills, MH.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Wills, MH

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.330156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 38df0042-a391-4e98-950e-26771c1e302e · outbound

This paper cites SinceCis a2 m-divisible code (andm≥2), applying (2) yields: 0 (mod 2 m−p+1) =w H (er1 ∗.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly SinceCis a2 m-divisible code (andm≥2), applying (2) yields: 0 (mod 2 m−p+1) =w H (er1 ∗

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.327695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d026f5fe-f5c0-4a33-8628-a676ffd1a65b · outbound

This paper cites an unresolved cited work.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-05-16T15:01:04.324779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4b9ca854-f3ff-41dc-89b3-f237cd4130ae · outbound

This paper cites From Item 2, the rows of A have odd weights.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly From Item 2, the rows of A have odd weights

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.322239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 914a3499-8be4-4a19-b818-58514bfe0e27 · outbound

This paper cites SinceCis a2 m-divisible code,C 2 inherits this property.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly SinceCis a2 m-divisible code,C 2 inherits this property

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.319628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation af6a3e41-e7fd-4ea0-8f73-7d0179112f21 · outbound

This paper cites Applying (2), we get: 0 (mod 2 m−1) =w H (0t, x)∗(y ′, y) =w H (x∗y).

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Applying (2), we get: 0 (mod 2 m−1) =w H (0t, x)∗(y ′, y) =w H (x∗y)

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.317015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a0824ac9-9563-4c1e-94ec-fdf3bda65b14 · outbound

This paper cites yt correspond to the firsttrows of the matrixA.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly yt correspond to the firsttrows of the matrixA

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.314560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 457133b5-cc86-4c26-8ce4-bbbfcef7d188 · outbound

This paper cites (7)), dim(C2) =k−t.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly (7)), dim(C2) =k−t

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.312007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a4cbc449-7013-40f8-82ac-3168cc4d7a7f · outbound

This paper cites an unresolved cited work.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-05-16T15:01:04.309405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7b1d29a3-1d9a-4df6-8464-0c42e8511b82 · outbound

This paper cites an unresolved cited work.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-05-16T15:01:04.306947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e80cfc1a-0bbe-4f0a-8ad9-0a2315deab5c · outbound

This paper cites If C is self-dual thenk= n 2.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly If C is self-dual thenk= n 2

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.304254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 595ca365-9282-4682-9052-aac0c2a34917 · outbound

This paper cites 2)d (p) X = 2 pdX follows directly from the repetition construction.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly 2)d (p) X = 2 pdX follows directly from the repetition construction

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.381234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ac33e7cf-6d05-4239-bae4-bba412039736 · outbound

This paper cites Lemma 24 implies: T ⊗n 0k L =e ι π 4 wH (sZ ) 0k L =⇒γ T =e ι π 4 wH (sZ ) Now consider any y∈C 1/C2.

Asymptotically good CSS codes that realize the logical transversal Clifford group fault-tolerantly Lemma 24 implies: T ⊗n 0k L =e ι π 4 wH (sZ ) 0k L =⇒γ T =e ι π 4 wH (sZ ) Now consider any y∈C 1/C2

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.298056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c12308de-2097-42b9-9d55-c9fd94e88f46 · outbound

This paper cites Lemma 24 implies: T ⊗n 0k L =e ι π 4 wH (sZ ) 0k L =⇒γ T =e ι π 4 wH (sZ ) Now consider any a∈F k 2 and the corresponding coset representative ya ∈C 1/C2.

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T15:01:04.294334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.