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Paper Citation Record · LEDGER

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits

As of 7 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2601.22489.

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

pith.paper-citation-record.v1
2601.22489 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T06:19:55.893100Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

41 of 41 outbound references displayed

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  • unresolved41
  • parse uncertain0
  • malformed identifier0
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External citation measurements

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Outbound references

Observation a638e66b-0813-4421-a999-5cb07e5ab782 · outbound

This paper cites an unresolved cited work.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work

Reference 1

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source=pdf_text observed=2026-08-04T06:19:51.474547Z digest=sha256:9ffb3c21928fb5a9ccc14437fc65739b3f22f703d7f531d69a961c2505b25d42

Observation 369bc112-3f2f-4bdc-a78c-2918731e1a5f · outbound

This paper cites an unresolved cited work.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-04T06:19:51.108030Z digest=sha256:b5da3c08d51080e25cf8279a9b7908e26accad9dcbe37cbb0ee093a16078fd8c

Observation f326182f-4d58-4f6b-b042-b88ebdeb784d · outbound

This paper cites an unresolved cited work.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work

Reference 3

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source=pdf_text observed=2026-08-04T06:19:51.190819Z digest=sha256:ea0726fc5dba8a7d430a58776ca24557d80938ed557f78a4136118b91e3f0863

Observation 60b6a472-5515-4489-9361-a9a519b11387 · outbound

This paper cites an unresolved cited work.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-04T06:19:51.351637Z digest=sha256:681ab867f4acb3c57281024004a7759669b4ee347383daa517c7e6b7f899bb65

Observation a8799158-d1e9-4569-a6f7-4a0d4ec54ecf · outbound

This paper cites Then there exists a subcollectionT ⊆ Ssuch that: •each coordinatei∈[n]belongs to at most one sup- portS t witht∈ T; •|T | ≥ |S|/(M bn).

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Then there exists a subcollectionT ⊆ Ssuch that: •each coordinatei∈[n]belongs to at most one sup- portS t witht∈ T; •|T | ≥ |S|/(M bn)

Reference 5

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source=pdf_text observed=2026-08-04T06:19:51.597008Z digest=sha256:130f134c690b413428907bef28b264e923b753f402e3530bf311f05ed0c16c7d

Observation d127a2fa-1a88-4e62-b05b-de192d472c2b · outbound

This paper cites 1 2 3 4 x y z FIG.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits 1 2 3 4 x y z FIG

Reference 6

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source=pdf_text observed=2026-08-04T06:19:51.727152Z digest=sha256:f13e3fe60fe63d30cbbec0eb9a70dbfcab26cdb0a5710579ae7f2016e03df85e

Observation 2f8cb179-941e-4798-9744-f381522bb90b · outbound

This paper cites an unresolved cited work.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work

Reference 7

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source=pdf_text observed=2026-08-04T06:19:51.914346Z digest=sha256:e69941c1b28a30fe0c648ff2b23e0e9d4a90de9a43d56f9a4ab0bc8c45e7920e

Observation 80a1e279-53e3-47c7-9438-17b3c50c4717 · outbound

This paper cites an unresolved cited work.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-04T06:19:52.098255Z digest=sha256:c0f472f2f9d93d20623b9fa92d83dc90bc923233a407e1e4a0565e621e25f774

Observation a322e398-4129-4a1d-a87c-31839281a7a6 · outbound

This paper cites an unresolved cited work.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work

Reference 9

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source=pdf_text observed=2026-08-04T06:19:52.332144Z digest=sha256:3a0d0bfe00e7f3de079f59b4cf9b121aa6278e7ea0cb2d5ebcea7e6d7591b135

Observation 289332d3-66b7-4cb4-b3e0-daf5910e1437 · outbound

This paper cites This suggests a new interface between quantum coding theory and the expanding toolbox of expander and Tanner- code techniques [14, 15].

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits This suggests a new interface between quantum coding theory and the expanding toolbox of expander and Tanner- code techniques [14, 15]

Reference 10

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source=pdf_text observed=2026-08-04T06:19:52.514148Z digest=sha256:e995d38765595cf4ab147fca75838bedb078670c5575c619a3fc0c9357c377b6

Observation 0925c571-6581-401e-a7c1-bca91ad51dd3 · outbound

This paper cites Weexpectthesamepatterntoapplyto more general multi-controlled-Zmagic-state facto- ries and to other families of product-based qLDPC codes.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Weexpectthesamepatterntoapplyto more general multi-controlled-Zmagic-state facto- ries and to other families of product-based qLDPC codes

Reference 11

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source=pdf_text observed=2026-08-04T06:19:52.693383Z digest=sha256:45f9f8a80a408d0cdc84bdc77489ed07193ee05bd64d960fb766cabc906c75c3

Observation 0e37c300-9a60-42c7-b5d8-5487e577b4f1 · outbound

This paper cites an unresolved cited work.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work

Reference 12

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source=pdf_text observed=2026-08-04T06:19:52.823424Z digest=sha256:005df96c3679ce04a103f82bddba2cbc09dabf6ee0a614ff8a39af5341ad36aa

Observation a2e35b0b-4ecd-4a3f-aa49-be9bcf953853 · outbound

This paper cites We stop when no triple with support contained in the unused coordinates remains.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits We stop when no triple with support contained in the unused coordinates remains

Reference 13

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source=pdf_text observed=2026-08-04T06:19:52.869571Z digest=sha256:21d29393baf40d900bb1c57160ed14ffbe9d43e7cd7b391379d2c5ab2d562d89

Observation 3289bd18-1cfc-41a8-8a79-24dcbf6c444f · outbound

This paper cites Fault Tolerant Quantum Computation with Constant Error.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Fault Tolerant Quantum Computation with Constant Error

Reference 14

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source=pdf_text observed=2026-08-04T06:19:52.999779Z digest=sha256:fa9e67cdf75fc6bd00a6bf469b0ab83df36b37ed3e26a492c5e600e025e570d8

Observation 19bcfa0f-216c-4090-9ac4-36110da8637f · outbound

This paper cites an unresolved cited work.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work

Reference 15

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source=pdf_text observed=2026-08-04T06:19:53.087462Z digest=sha256:11d8c1b7d250c1fa4dc7a8972f38b474a67d5b9e8878e74e8d41417b3f1af320

Observation 17671c3a-1c3c-4e7d-963a-b84cce1d3444 · outbound

This paper cites Knill, R.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Knill, R

Reference 16

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source=pdf_text observed=2026-08-04T06:19:53.156379Z digest=sha256:83cc2056b1427d2a8541556875a21ac3d1df541b6d92dd6f522d5f087af424c9

Observation 9a7be662-305d-4b75-b4aa-cfa6ec8da9e0 · outbound

This paper cites Quantum accuracy threshold for concatenated distance-3 codes.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Quantum accuracy threshold for concatenated distance-3 codes

Reference 17

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source=pdf_text observed=2026-08-04T06:19:53.230188Z digest=sha256:8985c676ad69126f83a0025613f822de2ba27649344d1dde0120d9ef41dc0dbb

Observation fa0598d6-4702-4587-9c82-bca4c0eb0f1c · outbound

This paper cites an unresolved cited work.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-04T06:19:53.381002Z digest=sha256:fbeabfefd779e8a4a34a3de428d7b1557f792187977aef39a19d364a98d99b3e

Observation f1512b54-9de3-4113-bf02-dd9934fddaa7 · outbound

This paper cites Topological Quantum Distillation.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Topological Quantum Distillation

Reference 19

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source=pdf_text observed=2026-08-04T06:19:53.504408Z digest=sha256:755d1692bb4b6dfb35d9f0898964a78662c68044e3f44be311d183962b065d2b

Observation de5face8-9d85-4a01-a806-583002d5c229 · outbound

This paper cites Universal transversal gates with color codes - a simplified approach.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Universal transversal gates with color codes - a simplified approach

Reference 20

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source=pdf_text observed=2026-08-04T06:19:53.634237Z digest=sha256:9928b922220fbeddab84c37d78b719a52cf18781cd9a24819d2e92197dde1a8a

Observation 5e10f8c7-b9fa-4017-9e58-ddfcba54544a · outbound

This paper cites Universal Quantum Computation with ideal Clifford gates and noisy ancillas.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Universal Quantum Computation with ideal Clifford gates and noisy ancillas

Reference 21

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source=pdf_text observed=2026-08-04T06:19:53.785754Z digest=sha256:5a30c3d1ab86869b5b037f617d62aa90687acbb692a8dac8c09d1f0f3e97f795

Observation 3abce2fb-798c-4ddc-8aed-8d44efe957c4 · outbound

This paper cites Magic state distillation with low overhead.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Magic state distillation with low overhead

Reference 22

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source=pdf_text observed=2026-08-04T06:19:53.900639Z digest=sha256:8f5d9dd7cbc58e369919826fb59d05e1aa457ca829e5c44aa1a048e4238be769

Observation d75f3ce1-7faa-4b4d-8711-14501ae75626 · outbound

This paper cites A unified framework for magic state distillation and multi-qubit gate-synthesis with reduced resource cost.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits A unified framework for magic state distillation and multi-qubit gate-synthesis with reduced resource cost

Reference 23

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source=pdf_text observed=2026-08-04T06:19:54.017728Z digest=sha256:51d523923a44b2f3b248ecf2816ca6b59e644f109fc2430114b212095fcca5f2

Observation eb1693b3-bab9-4774-a8ea-7ffc44a57da9 · outbound

This paper cites Efficient magic state factories with a catalyzed |CCZ> to 2|T> transformation.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Efficient magic state factories with a catalyzed |CCZ> to 2|T> transformation

Reference 24

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source=pdf_text observed=2026-08-04T06:19:54.138294Z digest=sha256:cf2987b23967481bb71ef97f2930941f8d98f4c07dee3d8b0798a927169e23fb

Observation af321f80-458e-4f72-805d-aa05502087ac · outbound

This paper cites Compilation of Fault-Tolerant Quantum Heuristics for Combinatorial Optimization.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Compilation of Fault-Tolerant Quantum Heuristics for Combinatorial Optimization

Reference 25

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source=pdf_text observed=2026-08-04T06:19:54.241967Z digest=sha256:3b178210fa37f74351cb95a1d5eed4dc255d591538d70a8fa009e89692ee7f5e

Observation 4096c873-00f3-4996-b85e-43f6ad44e016 · outbound

This paper cites Asymptotically Good Quantum and Locally Testable Classical LDPC Codes.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Asymptotically Good Quantum and Locally Testable Classical LDPC Codes

Reference 26

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source=pdf_text observed=2026-08-04T06:19:54.364765Z digest=sha256:7bda94fe26e8bdfe0b2dc2664a20524c4b780726ea9b5038a6d5dcc8e458dbd8

Observation 5d7257a4-f562-443f-96d8-b4091f1867c2 · outbound

This paper cites Quantum Tanner codes.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Quantum Tanner codes

Reference 27

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source=pdf_text observed=2026-08-04T06:19:54.495108Z digest=sha256:484f96fe9a856a17201f06c99dacc6ae755be6c44bafc10f230ad974b9d2c09c

Observation 6c279eab-2503-4b26-9c39-010ba9aacf12 · outbound

This paper cites Quantum Low-Density Parity-Check Codes.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Quantum Low-Density Parity-Check Codes

Reference 28

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source=pdf_text observed=2026-08-04T06:19:54.648096Z digest=sha256:a8cc9e1f64be238d2942819f23f0b744d0d0dfc002c73b19965a34ba263efadb

Observation 25f0273a-cb94-4ac1-8ed0-1a4114a14b78 · outbound

This paper cites Bravyi, A.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Bravyi, A

Reference 29

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source=pdf_text observed=2026-08-04T06:19:54.726361Z digest=sha256:df20727056345b3a4315c654d91f6eb2b5ccf6af5df45c394dd13e992820fb34

Observation 7215a365-fc45-4ecc-b89b-b384b251d0aa · outbound

This paper cites High-rate quantum LDPC codes for long-range-connected neutral atom registers.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits High-rate quantum LDPC codes for long-range-connected neutral atom registers

Reference 30

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source=pdf_text observed=2026-08-04T06:19:54.877341Z digest=sha256:8235805a957b72b2f8d31e44cf5eadb8ffbb7c96efc924d9613ab3a0a88c1393

Observation d572f983-6f09-42bf-9edc-d972857ae567 · outbound

This paper cites Fast and Parallelizable Logical Computation with Homological Product Codes.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Fast and Parallelizable Logical Computation with Homological Product Codes

Reference 31

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source=pdf_text observed=2026-08-04T06:19:55.019960Z digest=sha256:2905ecb282dcc29cd01a690bc63fb23c0f7d5b76fbdb7970fd5a24d58b0bdd06

Observation c893da90-cee7-4911-82db-2ba9ca47fc3e · outbound

This paper cites Enumeration of three-quadrant walks via invariants: some diagonally symmetric models.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Enumeration of three-quadrant walks via invariants: some diagonally symmetric models

Reference 32

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source=pdf_text observed=2026-08-04T06:19:55.115736Z digest=sha256:cae3c6feca54b4d71c0b294776211f4cc4501226615d6b6c1ff864f3ded81244

Observation 766d6135-0522-46d7-b406-c2535fd53c22 · outbound

This paper cites Constant-overhead quantum error correction with thin planar connectivity.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Constant-overhead quantum error correction with thin planar connectivity

Reference 33

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source=pdf_text observed=2026-08-04T06:19:55.176757Z digest=sha256:54bd0ab23c7eef04a75eae30744483e8e71fac5a2278a98e18f879272d8fd994

Observation 4ecf5376-c122-49ea-8195-5f5047de141d · outbound

This paper cites Asymptotically Good Quantum Codes with Transversal Non-Clifford Gates.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Asymptotically Good Quantum Codes with Transversal Non-Clifford Gates

Reference 34

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source=pdf_text observed=2026-08-04T06:19:55.232033Z digest=sha256:69d2b00612d7e8942740befcd87bcfef5b04ff3e0ce9da41b46b1dbc8f85264d

Observation bb406530-b701-4925-80d1-1e874e05f1fb · outbound

This paper cites Quantum LDPC Codes with Transversal Non-Clifford Gates via Products of Algebraic Codes.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Quantum LDPC Codes with Transversal Non-Clifford Gates via Products of Algebraic Codes

Reference 35

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source=pdf_text observed=2026-08-04T06:19:55.326880Z digest=sha256:c72f0da38bb00cd9f37ae8096c06539b500dab482cdf823f4dc376e12287d984

Observation 4ff72a66-6861-4e68-8725-4690bc7525b4 · outbound

This paper cites Transversal non-Clifford gates for quantum LDPC codes on sheaves.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Transversal non-Clifford gates for quantum LDPC codes on sheaves

Reference 36

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source=pdf_text observed=2026-08-04T06:19:55.440774Z digest=sha256:99eb5bffd54ca15a2606ec320ba9ca7381642d17cde71a81800b7730ec8abf4a

Observation 9459918a-68e8-4783-87ef-26899f84025c · outbound

This paper cites Asymptotically Good Quantum Codes with Addressable and Transversal Non-Clifford Gates.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Asymptotically Good Quantum Codes with Addressable and Transversal Non-Clifford Gates

Reference 37

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T06:19:55.528295Z digest=sha256:058900bc361a9377d9243f99ba329767d3ea9edc6fcd7964ebfa6dcb02ad2241

Observation 4a1f18f5-26ac-43cf-8210-ee6372ce7ea0 · outbound

This paper cites an unresolved cited work.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-04T06:19:55.621889Z

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source=pdf_text observed=2026-08-04T06:19:55.621889Z digest=sha256:36a73cb0be2db20d4984d187d4a4a2d9108b8a986e649f5e1d79b01aead3e18d

Observation 00fc468f-b13e-4aa0-9ab9-dae5655cfe37 · outbound

This paper cites an unresolved cited work.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Unresolved cited work

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-04T06:19:55.683773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T06:19:55.683773Z digest=sha256:409569c914fa86943c8e09ff107a32ed03fae3ce532614cc45ed3b2b1b37ef29

Observation 248d790b-ea63-4f4c-be65-83335db3b38b · outbound

This paper cites Bravyi and R.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Bravyi and R

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-04T06:19:55.779637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T06:19:55.779637Z digest=sha256:423e9504e8679cfd6f5ea73e575429e591eff455345b763609cad62c600a75fb

Observation 6e05e44b-1580-48f3-b853-4d887a7800b4 · outbound

This paper cites Pastawski and B.

Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits Pastawski and B

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-04T06:19:55.893100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T06:19:55.893100Z digest=sha256:023a68f1315586131b73a07c7995e8ecd6ece40511c81357677f0d4287d54842

Pith citing papers

No inbound Pith citation observations are available.