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Paper Citation Record · LEDGER

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

As of 10 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 2026-08-10T06:31:04.303077+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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  • verified fuzzy0
  • unresolved41
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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:dae2c83a802dbf605d02cd95c550a16d281aef1453e0a6ff6203a1fa37608121

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=sha256:2bc10eaa2d9f31fa287fd3afae890d7c71759ab5f6ebfdaf78d8b2f18901e1ec

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=sha256:274d94ea3baf6e9fdfd0628441ed3f6c484df8c468259c7e90c0d255668a540c

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:af51454ffa045c70a35fd0d0054c3096f49951953e8fac5cc47b2f5f2e41cf49

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:ff2b115aa83f6c9f9764829d1faf335b0787f9a3d2535c60efa9a4e53e692126

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=sha256:7c1ebb03df75941335985ede5f24744a796006083ccbcb28e95415bc8387e0df

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=sha256:2edd9c03022186804bdf57a46daf6ae728615cab6f76507e71373147a68c4280

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:b48bf879c4ee3539597c1c669a4bc6c515168799a28973619558ffaad9d095a5

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=sha256:3916a380e726a316f96042835b07d204aca6f95a625f518b8ca582b188a542e8

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:a2fa91ef42bb9bb296f933e44404db76d91cf4e5e1c5b78d720e4351ac793602

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=sha256:5c22f7cf3ae2792f79b4fbdd81bcf56899533bfa9939d3db8ce463f0b778902e

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=sha256:635df92ed8967e753d6544bb1c15e1f601be2dedb776fb54bc96ce80a689875b

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=sha256:0168a0bc9367107256005dd2fffc414494ad1b29f7ab456c41cb6642ddf04f7f

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:f45fe87a6aab3b9467ed218a679e474aad764ca93461f2d3e9e2717cbbe1bcb7

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=sha256:82ecd7210a6a576f9ab33bfffda2b754ae1e16848076a05f8d99c2371e923bf2

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:d96845fa29dc9c7960290ec9024517ff6d5e4a5e4df3caa5f8c3c267b4a7ea02

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=sha256:44004f979e5bd0121ae595061e7860fb35963912607f8c5741d50c5a2c0d7068

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=sha256:8397448b0773a1dd10b3c7d9572d4f8c554626d8a2fbfc1471973bd8928767bf

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=sha256:3e23564972a99613f68d8539e504333025df86589d48a8d378423c774e8ede06

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=sha256:853bf7cb77e80e9e4fdcc352de7cb3013e6cc082aaf70832aab849de8a80d0e0

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=sha256:5aff043e956336432748279e0ea9c64b69c2fdcbd7b5d9c1ac8ad30f85f79888

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:e48ed7854db91db1a65ed5ce2f6781ae9aa97be0a8eaa8551de2adbdad5cf356

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:ccaa5c53db580adf77527238b467153e04376b9c0c73244ca26745f25a593e7c

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:e61b9e0fa467c70243f945b5a709209598818d2f14c29647d5ce5aeb33a55229

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=sha256:16a85e93c01775966513978bb2db169df77067edb0e0dcec1c6b3ca44c4349e7

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:f649ff98d29e01c38b4c1d136d898b2b371d4101019321d2d8d85129e5dd16ae

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:dee6920a5a2a60add85ec3fd74dd3851ddb333d7298861702bb7e15667812389

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:d63a66d0f05ec1e145bb2ee7055c5ea5453edd6c55f99101b80b120c006d2383

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=sha256:476e1a0f4f06fb2ede6fe6ef8eb69618e2ef1f215ef866c680d0b2578dfbd4eb

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=sha256:314fc92a78333b0f8490896ec4dd30a74874622b42877ad8c7c0b48d86fd97d5

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:e8c16a96dfa22c971198a843bddef26cb88669408b70114d7169d7b307af5272

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:bdbb8cf39692cfa93b5d65d9d673b54501e0adbe5f51c8e32574eca42945d5d0

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:e43394d1329e642173be57e89747d5b886ee12d7520accb08ab05609b0c2e2c3

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=sha256:02f8733df2c5043eed33513fefe0a8889f1905e60956b67a9680444295ce4b6a

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=sha256:76126506339bbec0cb02a118875fb86ae9b715a9fa67b7f7e3122e4ece7ef0b5

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=sha256:485e8acf36cee0e460a353d4e88837024ebf2e316194348aeeb4adc39443d413

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T06:19:55.528295Z digest=sha256:633dc9fcb439df4194efc1e2c2fa20dda628c1ae3938b5441b804f01ea959ecc

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
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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=sha256:8458f6fe0dc92bad0ddbc01d622296dbae4d5ab3dd5ea629d7f4cd5cbe6ef3fb

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

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source=pdf_text observed=2026-08-04T06:19:55.683773Z digest=sha256:b0751eb338a72d35f1f0ebbab59c2ffe46610b500057cc5e62f0fc3a35662979

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:b7d1983093666ea8e0d25343ffcc331c924226f64f4ad1c6a882454ea79bc404

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

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T06:19:55.893100Z digest=sha256:40813d89cca4ec7c4dc373d59a49ad7355e682ce9ad252c7350baf7b99486669

Pith citing papers

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