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Paper Citation Record · LEDGER

Transversal Gates for Highly Asymmetric qLDPC Codes

As of 17 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 2 inbound Pith citation observations for arXiv:2506.15905.

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

pith.paper-citation-record.v1
2506.15905 v1

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:56:10.577267Z

measured 60 of 60 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:06:40.883614Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T23:56:11.025404Z

Reference resolution

58 of 58 outbound references displayed

  • verified exact7
  • verified fuzzy14
  • unresolved36
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 18989d02-bd6b-4192-8670-a1b3e78aa3d5 · outbound

This paper cites 1 applies, giving a net phase gate of P 2wi q.

Transversal Gates for Highly Asymmetric qLDPC Codes 1 applies, giving a net phase gate of P 2wi q

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:56:11.534403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.306652Z digest=sha256:69caa12334e986d62ac6b16863d0d750aa854ad942714f0e7f3755df2563f64d

Observation 63aec17a-7254-48f8-bc76-5c1b4be75ae9 · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:56:11.505905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.317844Z digest=sha256:1061b7d5bddd6e092e65bc1ec090e5b6da4b257fe39d767d87777ec6125b5a82

Observation 6f95929a-0609-4bb1-975c-d30f937c1243 · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:56:11.520490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.312181Z digest=sha256:dfcbb5867d681d3a25491855033323bb90efe4622f26f232d82ae2c35c8ec2a9

Observation 17c371c2-0f96-4a68-bf23-ac3f63865224 · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:56:11.477380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.327840Z digest=sha256:1300ce3f35519b0d0305aeda64af287db47d83793c32de47068a68f70badd832

Observation ff903ec2-88f3-42bf-b293-9f1951365a5c · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:56:11.491278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.323035Z digest=sha256:d1fae90996593a655ec62aa3566cf8065328cbcebd5d7d69f64dcd17756bb760

Observation 9347e0cc-b12b-45f4-bbb0-ecb0e2d765c1 · outbound

This paper cites (We have these by Lemma 2.) At the end of step 3, every logical qubit of the ancilla block is in state |+⟩ except for qubit i, which is in the statePwi q |+⟩.

Transversal Gates for Highly Asymmetric qLDPC Codes (We have these by Lemma 2.) At the end of step 3, every logical qubit of the ancilla block is in state |+⟩ except for qubit i, which is in the statePwi q |+⟩

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:56:11.447236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.338868Z digest=sha256:b5775691a89247285bc909a7017c7e4d8b5341b8453c5f772eb07416b84ae0f3

Observation 38ba3455-e2b2-4677-9110-222b0e85a38c · outbound

This paper cites 5 = = P P† P 2 Figure 2.

Transversal Gates for Highly Asymmetric qLDPC Codes 5 = = P P† P 2 Figure 2

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:56:11.463129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.333476Z digest=sha256:162f52e8f2f5e921671dfaa3ab07f1752637033401fc8bd199473a44b013b85e

Observation 13220b9b-c8ce-4665-b1b8-76c2cd786604 · outbound

This paper cites Eastin and E.

Transversal Gates for Highly Asymmetric qLDPC Codes Eastin and E

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:56:11.308458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.400201Z digest=sha256:f67932f25ce649e684af2e1ef1ee1b581a90edec67ef47baa2c4c8d4b8de3963

Observation 23b8e4fc-d0ec-4a4d-b544-0f4258b9390a · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:56:11.430749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.343953Z digest=sha256:f647a772f9f444e4ea456ec4438bf47d3d0daef3bb0d74a003b28d8f847ce79c

Observation bfb98f60-5b90-4258-b398-5eeab4bda6f5 · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:56:11.415635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.348148Z digest=sha256:11910e347ef7dd30e5aa34bff9fdf699d1de127113d57ec6391ac802ca65a3e9

Observation 902fc66d-3031-49d1-9071-02729fb6690e · outbound

This paper cites intra-block gates inter-block gates [[n,k,d ]] code block Figure 3.

Transversal Gates for Highly Asymmetric qLDPC Codes intra-block gates inter-block gates [[n,k,d ]] code block Figure 3

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:56:11.400535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.352534Z digest=sha256:3e41f47337660f5176f1b128ee146d948d4f70cc40c8bf819b6a8d769119e84d

Observation 9048ed13-e986-41c6-992a-f31e751bc697 · outbound

This paper cites local code.

Transversal Gates for Highly Asymmetric qLDPC Codes local code

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:56:11.382740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.356979Z digest=sha256:a6f15beea5649896066edbf87510b22e48efcc8fe8163dc61def95f524d03698

Observation eeef8ae4-94ec-4f61-8cc1-56a4f37c51d9 · outbound

This paper cites Classification of topologically protected gates for local stabilizer codes.

Transversal Gates for Highly Asymmetric qLDPC Codes Classification of topologically protected gates for local stabilizer codes

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.427113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.427113Z digest=sha256:ff9718a1a45677c9503f5579d3a6be2ad12af125a1403949c1564fcf054a7c76

Observation 46e1e043-1132-4fdb-95a0-4f99f1e4a612 · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.367424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.367424Z digest=sha256:d5ee42d61fcee3061097ccc1b828a85d7977d91132aa7096fc87d7e2d926f94c

Observation 4562a656-74b6-460c-96bf-738c8ba2b7d8 · outbound

This paper cites Aliferis, D.

Transversal Gates for Highly Asymmetric qLDPC Codes Aliferis, D

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:56:11.343621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.371976Z digest=sha256:a7301d7ac5e377d836b2265a9f3bcd7e056b9d0f50e9ed51284644ee79a3debc

Observation 1eac2867-8aa0-460b-a698-a05190367517 · outbound

This paper cites Subsystem fault tolerance with the Bacon-Shor code.

Transversal Gates for Highly Asymmetric qLDPC Codes Subsystem fault tolerance with the Bacon-Shor code

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-06T23:56:11.008536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.376271Z digest=sha256:def8acf645dec6f88d265516cef1e7b28e29af2bce9b2a0b2e09e722489addd7

Observation a6b195d3-1a63-4ba8-9d48-1614512b94f7 · outbound

This paper cites Fault-tolerant ancilla preparation and noise threshold lower bounds for the 23-qubit Golay code.

Transversal Gates for Highly Asymmetric qLDPC Codes Fault-tolerant ancilla preparation and noise threshold lower bounds for the 23-qubit Golay code

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.380812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.380812Z digest=sha256:8a953ef81ab24d9e4a20ba70c76b9bc1481ef11fde378fedbad11f82be474687

Observation a792c74e-b7f6-4a1a-a5a4-92455ff2b6cf · outbound

This paper cites Knill, Quantum computing with realistically noisy de- vices, Nature 434, 39 (2005).

Transversal Gates for Highly Asymmetric qLDPC Codes Knill, Quantum computing with realistically noisy de- vices, Nature 434, 39 (2005)

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.385426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.385426Z digest=sha256:db65ac0083af759caab77e82d13bb4d2535f088ee3eb575584eda7eed30a0350

Observation 46311140-5b5e-410b-b8f5-768e66528cb6 · outbound

This paper cites Dennis, A.

Transversal Gates for Highly Asymmetric qLDPC Codes Dennis, A

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.390562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.390562Z digest=sha256:ceb3228a86a8f05609e1abf273933288ee1c617b295f39c68aa14c6ce2992801

Observation f75193c8-d936-4d64-a0e6-a3453a7f7574 · outbound

This paper cites Local Decoders for the 2D and 4D Toric Code.

Transversal Gates for Highly Asymmetric qLDPC Codes Local Decoders for the 2D and 4D Toric Code

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-06T23:56:10.968018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.395067Z digest=sha256:82a51b7391bc11292e042d876fb43a4771dd3a0e1fe4ff517df51d7d854cc542

Observation f044c018-ec32-4d7a-ac80-29357c29387e · outbound

This paper cites Transversal Gates for Highly Asymmetric qLDPC Codes.

Transversal Gates for Highly Asymmetric qLDPC Codes Transversal Gates for Highly Asymmetric qLDPC Codes

Reference 21

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T23:56:11.030381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.299570Z digest=sha256:e4dfbee15100f66f745d132c2a4980d37e07dc0900a12998ea5dcca7771a9067

Observation 22b84a9a-9921-4ae8-88c5-456e09b802b2 · outbound

This paper cites The Solovay-Kitaev algorithm.

Transversal Gates for Highly Asymmetric qLDPC Codes The Solovay-Kitaev algorithm

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.405413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.405413Z digest=sha256:26af8198894e5fa811a3a766054043a51dc9f076bc62f77f06b2f26d1f080d55

Observation a780bf61-5992-40b0-9d83-7712ae1fa870 · outbound

This paper cites Fast and efficient exact synthesis of single qubit unitaries generated by Clifford and T gates.

Transversal Gates for Highly Asymmetric qLDPC Codes Fast and efficient exact synthesis of single qubit unitaries generated by Clifford and T gates

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.410767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.410767Z digest=sha256:6cf0abc6cb8731f88450b40f9c924cf0f5b3de2d8ca48cf216a9308def823c73

Observation cac1431b-5fa1-432d-a24f-570ac04ad3a6 · outbound

This paper cites A Framework for Approximating Qubit Unitaries.

Transversal Gates for Highly Asymmetric qLDPC Codes A Framework for Approximating Qubit Unitaries

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-06T23:56:10.899505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.417006Z digest=sha256:be608e89c43780b79b51a57d2bc41ec7e4d8676414b331b48fedc117af9c8a5c

Observation 4dbb1e5d-6405-4145-ac86-79288c326384 · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:56:11.293170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.422344Z digest=sha256:d686b1390428aeb517e9dbe546eaaa586e29806de2fdcc60906f18436c333f7a

Observation 1a1bb133-3838-46a0-80e7-73a4dad21bda · outbound

This paper cites For the transpose Tanner codes of Section IV, assume that we have some initial code A0 which is an m×n matrix with row totals s and column totals c, meaning that ms = nc.

Transversal Gates for Highly Asymmetric qLDPC Codes For the transpose Tanner codes of Section IV, assume that we have some initial code A0 which is an m×n matrix with row totals s and column totals c, meaning that ms = nc

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:56:11.368027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.362650Z digest=sha256:0207cb2bf68947f2cf4b07c1b6a046b18d521d960489ca1908cb5d7cb4e1763a

Observation 9a87d3ce-822a-4429-969a-30b54a35bcbb · outbound

This paper cites Tradeoffs for reliable quantum information storage in 2D systems.

Transversal Gates for Highly Asymmetric qLDPC Codes Tradeoffs for reliable quantum information storage in 2D systems

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.436695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.436695Z digest=sha256:a0277fb044faddcf5333231ed4bbbdcbbfe6e3c040850aac91ab7871b0ff7f48

Observation e631e742-11a8-496a-b54b-0222243d605d · outbound

This paper cites Bluvstein, S.

Transversal Gates for Highly Asymmetric qLDPC Codes Bluvstein, S

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.441917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.441917Z digest=sha256:e346905e1e01dfec3424a35ee8330b9d9aabbfd8aef406a7a743a77a2e7514e9

Observation faa88061-f7f7-4870-a8b4-cd5480393db1 · outbound

This paper cites Quantum LDPC codes with positive rate and minimum distance proportional to n^{1/2}.

Transversal Gates for Highly Asymmetric qLDPC Codes Quantum LDPC codes with positive rate and minimum distance proportional to n^{1/2}

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.446760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.446760Z digest=sha256:2aa144d23b8a8f124ca730cb9967e28f43bcd0bc1a95f7e3670e356cf3652538

Observation 91c1ffd2-5e96-4289-9089-3b2a7eeedbaa · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:56:11.268665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.452940Z digest=sha256:b9cb5b84aba7162b402e5ab00091428ded61b2f04415768fbd91996d5c61f989

Observation e0399cf0-ed60-4132-8112-fd972d45ca1f · outbound

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

Transversal Gates for Highly Asymmetric qLDPC Codes Asymptotically Good Quantum and Locally Testable Classical LDPC Codes

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.457777Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.457777Z digest=sha256:7a9de50030664bd98936e83e568632de9e139b08cab2517d15cecc90f607e66e

Observation 7e82fd74-f91a-4838-bbed-ef36f4b3c92a · outbound

This paper cites Quantum LDPC Codes with Almost Linear Minimum Distance.

Transversal Gates for Highly Asymmetric qLDPC Codes Quantum LDPC Codes with Almost Linear Minimum Distance

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.462888Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.462888Z digest=sha256:109643bd32bca470c39dc42b4da99a06e8fd6db9e578281d3aa2d0ef58f7c2ed

Observation 9b76f64b-81b3-4538-baa9-b477e985c311 · outbound

This paper cites Good Quantum LDPC Codes with Linear Time Decoders.

Transversal Gates for Highly Asymmetric qLDPC Codes Good Quantum LDPC Codes with Linear Time Decoders

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.467529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.467529Z digest=sha256:692366711ab3391d6826c7bb19978422a04989bb39559a225c183629806886e2

Observation 0f5214d9-2712-450c-91c4-a36b0f46ac13 · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:56:11.254095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.472274Z digest=sha256:ff76c5c0f89dc61ef857548b5388e379b6868646827081f3df386adbbb812dbd

Observation e35ee879-2755-4bee-a8fa-0d6211cec91d · outbound

This paper cites Bravyi, A.

Transversal Gates for Highly Asymmetric qLDPC Codes Bravyi, A

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.476707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.476707Z digest=sha256:28d12f7945656af443d8127e58249334474b10d7c1317a3f2ae4ee474983b609

Observation d4784fb2-1678-4ff3-bb07-33aaeb2df92e · outbound

This paper cites Fault-Tolerant Quantum Computation with Constant Overhead.

Transversal Gates for Highly Asymmetric qLDPC Codes Fault-Tolerant Quantum Computation with Constant Overhead

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.480968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.480968Z digest=sha256:92ea12fd9ff1d1d29e858281a5de14797ff194809d8f67937d836d9685110e34

Observation 895d43ec-b9e3-4e78-8eb4-6ab672914965 · outbound

This paper cites Fault-Tolerance of "Bad" Quantum Low-Density Parity Check Codes.

Transversal Gates for Highly Asymmetric qLDPC Codes Fault-Tolerance of "Bad" Quantum Low-Density Parity Check Codes

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.486052Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.486052Z digest=sha256:7e580a77c5fa12a890332181ea7c3724bbb145d9c233d22a09bab3f82e2887bd

Observation 98461286-8427-44c8-921c-f29827127e67 · outbound

This paper cites Constant overhead quantum fault-tolerance with quantum expander codes.

Transversal Gates for Highly Asymmetric qLDPC Codes Constant overhead quantum fault-tolerance with quantum expander codes

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.490845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.490845Z digest=sha256:313ae1f9377a58a9f32c592f73d3d5ebfd8893f6bd051a81a3a80401e09e58fa

Observation 4276cc29-a609-4f0d-a474-c7dad3bd466c · outbound

This paper cites Limitations on transversal gates for hypergraph product codes.

Transversal Gates for Highly Asymmetric qLDPC Codes Limitations on transversal gates for hypergraph product codes

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.495656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.495656Z digest=sha256:25079bf9330a69becad571aad472e83148dd000ff60ca6286974a8cf57f2492e

Observation 2e2d6f7d-d077-4295-a697-066a0affcb20 · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:56:11.230398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.500142Z digest=sha256:a15c4a6db9975af12295d25e75f406fcd88ecca613f125de3aefb08b258f7e87

Observation 8f4580af-083b-4e93-9e68-1f557c9b0f11 · outbound

This paper cites Krishna and D.

Transversal Gates for Highly Asymmetric qLDPC Codes Krishna and D

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:56:11.215149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.504410Z digest=sha256:7c4b73e376a45bb786d61e312b73881bed9e1d62f48643b600293462e464ea6c

Observation 6d9f1404-f3a3-4df1-b6c3-2ba38a7c1359 · outbound

This paper cites Implementing Clifford Gates on Stabilizer Codes via Measurement.

Transversal Gates for Highly Asymmetric qLDPC Codes Implementing Clifford Gates on Stabilizer Codes via Measurement

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-06T23:56:10.703974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.508357Z digest=sha256:254e4587b6c1a135b6928747b2bf26c559c7816333b7544b2c36f517d9261d9a

Observation b5528966-ec07-4d7b-b8da-7df87c09f91c · outbound

This paper cites Demystifying the Balanced Product Code: A Review.

Transversal Gates for Highly Asymmetric qLDPC Codes Demystifying the Balanced Product Code: A Review

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-08-06T23:56:10.680631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.512498Z digest=sha256:2c80decc9425dd04ae2ba13fa7f31e744b111072298fd7ba661dd2813d65a0cb

Observation ae3d880f-f4e3-41f2-88bf-38fa2961a44c · outbound

This paper cites Transversal Diagonal Logical Operators for Stabiliser Codes.

Transversal Gates for Highly Asymmetric qLDPC Codes Transversal Diagonal Logical Operators for Stabiliser Codes

Reference 44

Resolution
verified exact
local_arxiv, observed 2026-08-06T23:56:10.659442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.517807Z digest=sha256:d1dc4b0a37d5ba6c71861c238ffde545ee7377007e72f182a6a3e4c72314cf5f

Observation dc24fe83-a8a7-4dc4-acfb-2e09a36c46cd · outbound

This paper cites The Smallest Code with Transversal T.

Transversal Gates for Highly Asymmetric qLDPC Codes The Smallest Code with Transversal T

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.522226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.522226Z digest=sha256:96183dd1273797311d492c86b33f494d067823662d8c2e60863bef7b5626f863

Observation 5c3bef83-232e-41cc-b704-b9c8dbaabf5a · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.526313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.526313Z digest=sha256:8f5423108e9ee2b03312938ecccdd5b50614cb7dbb93c410ef1b48783be0a1e6

Observation c8b001a0-3159-45f2-a274-dadee3494b87 · outbound

This paper cites Raussendorf and H.

Transversal Gates for Highly Asymmetric qLDPC Codes Raussendorf and H

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:56:11.190120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.531045Z digest=sha256:54cae8e9a6c51a59a4393c5d2117414130e2c242a04616dfa9d9cebf529ed77c

Observation 8660c5b4-a94c-4fb7-94d6-8eea03a7d595 · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:56:11.175786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.535264Z digest=sha256:c5c24a9d094de6c45b21c6a7d9443449ce420c7499d3ce80d5991fc9ffb8c747

Observation b64fbc10-ff17-46a5-91de-fb042fd89029 · outbound

This paper cites Tanner, A recursive approach to low complexity codes, IEEE Transactions on Information Theory27, 533 (1981).

Transversal Gates for Highly Asymmetric qLDPC Codes Tanner, A recursive approach to low complexity codes, IEEE Transactions on Information Theory27, 533 (1981)

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-06T23:56:10.539650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:56:10.539650Z digest=sha256:5358225068db59fc26c53a5feeb03a4464e349d4c524047058c1633738cfd22c

Observation 3fcd8106-34d5-4f76-b54a-10b16d6a9049 · outbound

This paper cites They could turn out just to be stabilizers and of no concern, but we will see this is not they case.

Transversal Gates for Highly Asymmetric qLDPC Codes They could turn out just to be stabilizers and of no concern, but we will see this is not they case

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:56:11.150778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.543865Z digest=sha256:94a61911f372c6068b15427de42ae16ab65b2f487477ca64fe08186ca53947fb

Observation c8fd5acf-0f22-4467-bdb8-d507d650ffeb · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:56:11.135431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.547925Z digest=sha256:27ea997139ff193a2a2902550734364d1f858b21d725094db3133d302f1a2c3e

Observation ce936209-373a-479a-b862-35c6169e8350 · outbound

This paper cites Kay and H.

Transversal Gates for Highly Asymmetric qLDPC Codes Kay and H

Reference 52

Resolution
verified exact
doi, observed 2026-08-06T23:56:10.617426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.552554Z digest=sha256:bcb0eb6f1ace8c7846f37002822a3245198a7ea4f982515c572d43ab058595c1

Observation 4ca96f73-94c6-4de9-a985-fc533c51d898 · outbound

This paper cites This can be quite restrictive.

Transversal Gates for Highly Asymmetric qLDPC Codes This can be quite restrictive

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:56:11.120194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.556669Z digest=sha256:cc013a4a2b25602d4740afec17f12e70ae750715adaf24efe9f5a6dce5973892

Observation 8b3006cb-e573-4644-abce-17c7beb48167 · outbound

This paper cites Lubotzky, R.

Transversal Gates for Highly Asymmetric qLDPC Codes Lubotzky, R

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:56:11.105028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.560562Z digest=sha256:89cc2004b89c7b77ecfcff9f870748c51d53a1691b5fd7fbb3f29c9dbd97239a

Observation 658e44c6-63ef-476d-a6fa-7f6f3d7450af · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:56:11.089260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.564702Z digest=sha256:b1555eb834346dbe691244b32a73a21ed11cb51b61e39b82ccdf91f1a1fd9bf6

Observation 26f8e208-500b-47b9-8c79-b4631bda2981 · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:56:11.075094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.568847Z digest=sha256:c7b5cae1168db9d74d10e9ec697fe08549e26bad75cc7a8500ff8132a2685c53

Observation 66a8cf5c-61be-414b-bcc8-6896aef608f9 · outbound

This paper cites an unresolved cited work.

Transversal Gates for Highly Asymmetric qLDPC Codes Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:56:11.060502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.572769Z digest=sha256:1781e922f48e2b4014781439742a409dd45c754996ea221dc4256524e409edab

Observation 2de5371f-54a4-4ed7-9736-3619546d5c7f · outbound

This paper cites Yamasaki and M.

Transversal Gates for Highly Asymmetric qLDPC Codes Yamasaki and M

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:56:11.045377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.577267Z digest=sha256:add325182599a98a33a140323ed68054bfcad821bc3a45f76d4a06cdf0d7cfa0

Pith citing papers

Observation f044c018-ec32-4d7a-ac80-29357c29387e · inbound

Transversal Gates for Highly Asymmetric qLDPC Codes cites this paper.

Transversal Gates for Highly Asymmetric qLDPC Codes Transversal Gates for Highly Asymmetric qLDPC Codes

Reference 21

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T23:56:11.030381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:56:10.299570Z digest=sha256:e4dfbee15100f66f745d132c2a4980d37e07dc0900a12998ea5dcca7771a9067

Observation 1dc70b27-056b-44c2-a681-2e562794f5fc · inbound

Quantum Codes with Arbitrary Z-Rotation logical Gates and Applications to Fault-Tolerant Code Switching cites this paper.

Quantum Codes with Arbitrary Z-Rotation logical Gates and Applications to Fault-Tolerant Code Switching Transversal Gates for Highly Asymmetric qLDPC Codes

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-12T05:06:40.883614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:06:40.883614Z digest=sha256:07d6e6afde1d046a506ff1e3beac7cf5294a636591dd39727876ef6731b465ae