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Paper Citation Record · LEDGER

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom

As of 8 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 6 inbound Pith citation observations for arXiv:2507.15056.

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

pith.paper-citation-record.v1
2507.15056 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:54:37.319163Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T08:00:03.979334Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T19:15:31.096658Z

Reference resolution

51 of 51 outbound references displayed

  • verified exact4
  • verified fuzzy23
  • unresolved24
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 033cfb44-d968-4370-8ca2-157b3ae6aa2b · outbound

This paper cites [2, 10, 37, 38] applicable to more general stabilizer codes including non-Pauli stabilizer models.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom [2, 10, 37, 38] applicable to more general stabilizer codes including non-Pauli stabilizer models

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:33.332527Z digest=sha256:d7aa32f9c9366cffda59a2e53153e1ea018267e02547c6065fda2b5c959d0ca9

Observation 03d6a8e3-8f95-45a9-8f00-215eedda1b59 · outbound

This paper cites an unresolved cited work.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Unresolved cited work

Reference 2

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no resolver link, observed 2026-08-06T15:54:34.013792Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:34.013792Z digest=sha256:e644804163b9eded000e3bf64681e6031b430f24e8a64efaccdf6e7dd1ec195f

Observation 7ea5d9d6-b4b8-4bc2-8f99-1fd1fec7954d · outbound

This paper cites 4.sys q( fM;Z 2) =sys 2q( fM;Z 2) = Ω(N 2 3 ), sysq( fM;Z 2) =sys 2q( fM;Z 2) = Ω(N 2 3 ).

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom 4.sys q( fM;Z 2) =sys 2q( fM;Z 2) = Ω(N 2 3 ), sysq( fM;Z 2) =sys 2q( fM;Z 2) = Ω(N 2 3 )

Reference 3

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raw_fallback, observed 2026-08-06T15:54:38.471482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:33.802871Z digest=sha256:bd2888c79aa78e1aa40231ce5a19a8815b9beb48902a714cadba850c95378e81

Observation deb2b39f-26ec-414d-9699-8012d68479cf · outbound

This paper cites 2.vol( fM) = Θ(N).

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom 2.vol( fM) = Θ(N)

Reference 4

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raw_fallback, observed 2026-08-06T15:54:38.479189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:33.692152Z digest=sha256:27cfbe92f30d575b111435725e32518ff8f9b5054eef53d876afae18aa15fd89

Observation 8e38e0a6-d440-4657-ac6c-bcbb55b22440 · outbound

This paper cites bad dimensions.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom bad dimensions

Reference 5

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raw_fallback, observed 2026-08-06T15:54:38.463681Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:33.910327Z digest=sha256:db905f79fc47711fd3cc2465e1a226919b90167ac41950334c902c716ba1eadf

Reference 6

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source=pdf_text observed=2026-08-06T15:54:34.296179Z digest=sha256:fabda0925f3a4e017074278026f863b1cf0356e548d6109ad41d7b7fbb84db3b

Observation 67912735-9d6e-46de-b71d-c286b4afb226 · outbound

This paper cites Similarly,a ∗7 is the Poincar´ e dual cocycle of the cycle a4.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Similarly,a ∗7 is the Poincar´ e dual cocycle of the cycle a4

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:33.540449Z digest=sha256:234de619aaf327a102c0c20bd97095420decc70deaa10a33a1103f07c9eee224

Observation 644d9e0b-1b4b-42fc-be42-8fa5485125c3 · outbound

This paper cites Hastings, J.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Hastings, J

Reference 8

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raw_fallback, observed 2026-08-06T15:54:38.456070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:33.956722Z digest=sha256:724808be3171bf7160f6d076ff157d3a7c12808617de806cc4329414e90867f2

Observation e1c72e3e-b9ca-4f55-b1d0-5fcce0400bbc · outbound

This paper cites an unresolved cited work.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Unresolved cited work

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:34.055168Z digest=sha256:dadcedc84d94af4c11b616c3e2ea31d1f462fbda9df02ebd9de931b2728358de

Observation 8603aa27-7c9a-4ac5-a505-fc46a8ccfb9d · outbound

This paper cites Gromov, Systoles and intersystolic inequalities, Actes de la Table Ronde de G´ eom´ etrie Diff´ erentielle (Luminy, 1992), 291—362, S´ emin.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Gromov, Systoles and intersystolic inequalities, Actes de la Table Ronde de G´ eom´ etrie Diff´ erentielle (Luminy, 1992), 291—362, S´ emin

Reference 10

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raw_fallback, observed 2026-08-06T15:54:38.438934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:34.169782Z digest=sha256:4353fcedb3ec4edd95054d4b068d3d148c91324cf1b2ee5347a51bddd862f31c

Observation 4056bca9-48ba-4f9b-8149-ad9cdb088104 · outbound

This paper cites Panteleev and G.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Panteleev and G

Reference 11

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verified fuzzy
raw_fallback, observed 2026-08-06T15:54:38.429826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:34.220534Z digest=sha256:bb40e442ac001654506bb56f1d19968a8d384fa204d259dbbcbbdc553c426a06

Observation bc8bf259-9373-4a1d-b1aa-0a2b7f2d00a3 · outbound

This paper cites Cross, Z.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Cross, Z

Reference 12

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unresolved
no resolver link, observed 2026-08-06T15:54:34.749023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:34.749023Z digest=sha256:8fb4ff90a3c81e82077e74d0eb38e171b2d98f41258b5dd8a9f19d5b3d8f2a76

Observation dcb20a9d-dd62-492d-b443-a8143a41d17b · outbound

This paper cites Panteleev and G.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Panteleev and G

Reference 13

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verified fuzzy
raw_fallback, observed 2026-08-06T15:54:38.421141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:34.344912Z digest=sha256:4e0858a83f72d21a13b6f8ba64d0973975697acc038cdccb01f2b6665ae30e41

Observation 6b4e7567-ddba-436a-bdff-c2c961c3c4c9 · outbound

This paper cites Cohen, I.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Cohen, I

Reference 14

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verified fuzzy
raw_fallback, observed 2026-08-06T15:54:38.412926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:34.444931Z digest=sha256:c8c9f2e72f7bdc18e7a0fc5e39e0997c1d0b3e34bfbac04d8c34371e01fc1059

Observation 4d446ca3-47b0-4736-98cb-f24f42bbf439 · outbound

This paper cites Huang, T.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Huang, T

Reference 15

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raw_fallback, observed 2026-08-06T15:54:38.404632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:34.502795Z digest=sha256:63de7510f571783f3c4cf80851fb9fc8ae7aebd31cc25dc78d440fb30415e7a0

Observation 905a8790-9968-4236-a337-19d5027d519c · outbound

This paper cites an unresolved cited work.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Unresolved cited work

Reference 16

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no resolver link, observed 2026-08-06T15:54:34.600317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:34.600317Z digest=sha256:07f5724e58b7d498f2064f3da2cb048c2d0f9ead862df20cebb747258dc8b4e0

Observation 1a0a771e-6c9e-4fa5-83d6-35fb4421057d · outbound

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

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Fast and Parallelizable Logical Computation with Homological Product Codes

Reference 17

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no resolver link, observed 2026-08-06T15:54:34.664293Z

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source=pdf_text observed=2026-08-06T15:54:34.664293Z digest=sha256:3b9e7739f4f4f6fecab5fdda1189a0f51503642a81acb3103032290f590230e1

Observation 480d4a13-7ca2-444d-a5a0-aa8eccbe4a85 · outbound

This paper cites Kubica, B.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Kubica, B

Reference 18

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unresolved
no resolver link, observed 2026-08-06T15:54:35.257076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:35.257076Z digest=sha256:ba56ed55ad96f7f2023b40cc7d510c847e4bae89fc578f3665275f17fa0e65c2

Observation 91e4c2ad-c69c-4032-be20-dabddff874dc · outbound

This paper cites Low-overhead fault-tolerant quantum computation by gauging logical operators.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Low-overhead fault-tolerant quantum computation by gauging logical operators

Reference 19

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no resolver link, observed 2026-08-06T15:54:34.825771Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:34.825771Z digest=sha256:23944c11262dbe12089f410ee63c212e34c248b88ffcee8763df2e5d4cf9ef80

Observation 1d89d1b9-1a54-402c-8237-1b1b7aa8aa2c · outbound

This paper cites For instance, in a 3D torus (with zero curvature), the distance is determined by the minimal length of the logical string operator, which scales asO(N 1 3 ).

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom For instance, in a 3D torus (with zero curvature), the distance is determined by the minimal length of the logical string operator, which scales asO(N 1 3 )

Reference 20

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raw_fallback, observed 2026-08-06T15:54:38.505082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:33.114826Z digest=sha256:7718139dcd4dde3cc7b2ecc8d5da1d3914a61c633b2f21741b75a046b0dff9fa

Observation b6f65314-b892-462f-aa8f-c37e596bd187 · outbound

This paper cites Swaroop, T.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Swaroop, T

Reference 21

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no resolver link, observed 2026-08-06T15:54:34.928906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:34.928906Z digest=sha256:23d9b96a055cb248ae147d5c54d5eb982c043cda45713fb08818d1e076c01526

Observation 30b4106d-82f1-41c5-8f99-2613455c9ff3 · outbound

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

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Quantum LDPC Codes with Transversal Non-Clifford Gates via Products of Algebraic Codes

Reference 22

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no resolver link, observed 2026-08-06T15:54:34.983401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:34.983401Z digest=sha256:c4e1d143aeaece9d86cc730733a4fe90bf55e4e02f943a866db285276a34b5cd

Observation 6f1df18d-5fd1-4696-95a2-c7e69afa62b6 · outbound

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

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Transversal non-Clifford gates for quantum LDPC codes on sheaves

Reference 23

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no resolver link, observed 2026-08-06T15:54:35.090547Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:35.090547Z digest=sha256:e5f289ba98d55a6e083cd4150ba6845a48734672426127ed73ba5e649cadeb68

Observation e27a6d68-d0b6-4acd-9b04-cadd84d70b79 · outbound

This paper cites Bombin, Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes, New Journal of Physics17, 083002 (2015).

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Bombin, Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes, New Journal of Physics17, 083002 (2015)

Reference 24

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:35.177629Z digest=sha256:a996e2e3bd69035c56653d3af8f4047f39f4d0b89fdc2a0995d0006b898219bf

Observation 2d06e8e1-cc08-49fd-9b29-fc667d127148 · outbound

This paper cites Vasmer and D.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Vasmer and D

Reference 25

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no resolver link, observed 2026-08-06T15:54:35.372776Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:35.372776Z digest=sha256:dd2adab2acc247142e61342f69e5856f88ba5875520b1093e1608048e85f23d7

Observation 6e890265-1b0c-40cc-a56a-d6905da81195 · outbound

This paper cites Bravyi and R.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Bravyi and R

Reference 26

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verified fuzzy
raw_fallback, observed 2026-08-06T15:54:38.378408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:35.452114Z digest=sha256:6b35d16e6a2693832a981612f6cc8cee83ff08abdd6853a744f5ec69da5297d6

Reference 27

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no resolver link, observed 2026-08-06T15:54:35.544276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:35.544276Z digest=sha256:3eaa293b1ca864be67b7dd6dcdf665ff25b7c77d1164d55ddf3605fb8259c2df

Observation 0a660acc-639f-4045-bdd2-ed8ebcfaa3c2 · outbound

This paper cites Barkeshli, Y.-A.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Barkeshli, Y.-A

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:54:38.370341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:35.600769Z digest=sha256:1152e2ee6eecfaebe80bb4509062aab0b9c6713ff2a0dbd6f19db4b54c1be22d

Observation 68aace2e-e2ef-46c2-b336-0692768d7c7c · outbound

This paper cites Barkeshli, Y.-A.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Barkeshli, Y.-A

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:54:38.361764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:35.705330Z digest=sha256:0faf1d125ad3c3c15b30610722f4a8f19f61f7b4f2ff1649c770c1ee16557535

Observation e32f8c7e-87a2-4556-8751-149f8d78f1ae · outbound

This paper cites Yoshida, Topological color code and symmetry- 18 protected topological phases, Phys.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Yoshida, Topological color code and symmetry- 18 protected topological phases, Phys

Reference 30

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verified fuzzy
raw_fallback, observed 2026-08-06T15:54:38.353508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:35.774641Z digest=sha256:3ee2a6399f571158fa7df8b124d0465ace033af533b25ec2efea7e2c6e8bb9a4

Observation 0e6d0141-393b-4e08-b138-d8a568929cf6 · outbound

This paper cites Yoshida, Topological phases with generalized global symmetries, Phys.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Yoshida, Topological phases with generalized global symmetries, Phys

Reference 31

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unresolved
no resolver link, observed 2026-08-06T15:54:35.853000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:35.853000Z digest=sha256:91d6f2a538c5a8b80dd34d576097ab8c6c448ce0239d588eaa028a65e04c6350

Observation 28b51524-b350-48d1-8c19-d52b679bbed8 · outbound

This paper cites Yoshida, Gapped boundaries, group cohomology and fault-tolerant logical gates, Annals of Physics377, 387 (2017).

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Yoshida, Gapped boundaries, group cohomology and fault-tolerant logical gates, Annals of Physics377, 387 (2017)

Reference 32

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verified fuzzy
raw_fallback, observed 2026-08-06T15:54:38.337427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:35.941294Z digest=sha256:2558c6636fd7baacf0a7bda3520583f8c5645cb5c7c86ad9ee6195913dc9564e

Observation de42d2a8-9b6f-456b-98ea-34e4573463da · outbound

This paper cites an unresolved cited work.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:54:38.327839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:35.977088Z digest=sha256:b5d722af04a61a6ef19125a54a00e57b8458890d23782425b8281a9482955a16

Observation 0a37fe9b-4151-423e-ab68-2fac9b49c88f · outbound

This paper cites an unresolved cited work.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:54:38.319806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:35.993108Z digest=sha256:aaf5b5a50c05203be845b45fbde3315b97f815e6a9c41bb4b4ced1a83ab03ce2

Observation 3e9a7fd1-c4a2-4ce2-938a-c82f5f938d4b · outbound

This paper cites an unresolved cited work.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Unresolved cited work

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-06T15:54:36.144494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:36.144494Z digest=sha256:7550d1e139442a424da35116ced9740ecc3c06e6b8b99dd8ae2680938e1f9298

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-06T15:54:36.194019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:36.194019Z digest=sha256:34adf34f2bd8afa147ad4d8b56369b1b79e12fbd4f66fe35801b06a222f2a1ee

Observation bf9b4440-fd88-428a-82b0-c2acd720485c · outbound

This paper cites Cups and Gates I: Cohomology invariants and logical quantum operations.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Cups and Gates I: Cohomology invariants and logical quantum operations

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-06T15:54:36.354896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:36.354896Z digest=sha256:a9835d3b3ed68fe2f1a5b3508e7079cfb9d6f4ebb2b9a0f351c8fa5789cf9e07

Observation d0c2db4a-52e2-4db4-a4f7-b44d180ae91d · outbound

This paper cites McCullough and H.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom McCullough and H

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:54:38.311426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:36.492775Z digest=sha256:e73ff41cbf0cc16d533cd5f799466dacf8e568cbd1431edac74b0d9a2aabc0e4

Observation 2a3db7cc-9f8e-4383-ae62-895a49faa7b9 · outbound

This paper cites Dotterrer, L.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Dotterrer, L

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:54:38.303292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:36.548262Z digest=sha256:22be3bde094cb10192cb4e2fd446d1b8565f77c75c6f441a6cc5440048bc2e2d

Observation 18119b30-61d1-4bba-99d3-603f66bd1dab · outbound

This paper cites Collapsibility and vanishing of top homology in random simplicial complexes.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Collapsibility and vanishing of top homology in random simplicial complexes

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:54:37.589091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:36.702007Z digest=sha256:8b9be5da74844c2bdc650071bcdc5c83f39ad72928a5ea26fe22e806d67dd134

Observation cb61c6f9-a950-4353-a332-4e8e46fd4d7c · outbound

This paper cites Linial* and R.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Linial* and R

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:54:38.295106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:36.799650Z digest=sha256:9dd755d496e5804f3e47cdc3bfabbeef9bfc42c81dfe2d76e1263e36db143bb7

Observation c95ced72-033b-4bf2-8437-247a6485dc20 · outbound

This paper cites Homological connectivity of random k-dimensional complexes.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Homological connectivity of random k-dimensional complexes

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:54:37.465438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:36.835354Z digest=sha256:04ae68691e4b990354385946a27001ebd08bbaa1054f1fbbfaeb128a8f619e83

Observation dbe79c05-2800-433a-a048-672ab475e27f · outbound

This paper cites Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-06T15:54:36.901487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:36.901487Z digest=sha256:06fa91b1e910abb60b8ef40dd8cbf4a147eafe060bf5a5f5eb7c9f643735e48f

Observation 056d673d-4bcf-42da-a9b0-eb27b7ef93cb · outbound

This paper cites an unresolved cited work.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-06T15:54:37.000343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:37.000343Z digest=sha256:83dbc14d878f81b85d0a6380975e6b3550fb1e5c174e1b7ee0f2fa8b478d5a35

Observation deffe971-358b-400a-9134-58e7c2537cb1 · outbound

This paper cites an unresolved cited work.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Unresolved cited work

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-06T15:54:37.002852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:37.002852Z digest=sha256:d3bf4f4aaff25be94e00697a40a37b9bfb192918ad6ddc26eb51f358641a8e04

Observation d2dd84b8-501e-4e74-874e-7bbd7d33f1f2 · outbound

This paper cites Local Quantum Codes from Subdivided Manifolds.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Local Quantum Codes from Subdivided Manifolds

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-06T15:54:37.005387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:37.005387Z digest=sha256:823ddf80645942afffabc45ef371873cd809ea7385396fe55af884702115736b

Observation fbb85d87-cc17-4234-975c-c1a66180e209 · outbound

This paper cites Bacon, Operator quantum error-correcting subsys- tems for self-correcting quantum memories, Physical Re- view A73, 012340 (2006).

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Bacon, Operator quantum error-correcting subsys- tems for self-correcting quantum memories, Physical Re- view A73, 012340 (2006)

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:54:38.282209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:37.060958Z digest=sha256:ba4119e6c1b85211a09588b395061e2f10ae81fc3756e5630f76e58aa0d7b3c5

Observation 06cbd419-0aac-47f3-9dd2-28e5413b21a5 · outbound

This paper cites Hatcher, Algebraic Topology (CUP, Cambridge; New York, 2001).

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Hatcher, Algebraic Topology (CUP, Cambridge; New York, 2001)

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:54:38.272796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:37.140273Z digest=sha256:cdcce3421c56c9432612197be0cd7310a45b04a2c6e4e6d4279dad8b7f4c5870

Observation 5f07ce7d-1714-46d8-ac14-4b12e59c31be · outbound

This paper cites Volume of Riemannian manifolds, geometric inequalities, and homotopy theory.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Volume of Riemannian manifolds, geometric inequalities, and homotopy theory

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:54:37.773445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:37.206144Z digest=sha256:1844514477efa9be074571febff67d50fea98c1bc5aed4390bf87511d1274ea4

Observation 5e18b50a-2d68-479a-9a5e-0255348eeaab · outbound

This paper cites Lifting a CSS code via its handlebody realization.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Lifting a CSS code via its handlebody realization

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:54:37.762381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T15:54:37.260299Z digest=sha256:082321a7eddcef45bc83bb712f63bc03420e23c0d4d294b089154b641c45e4c3

Observation d6c6f646-f5ac-4658-b07b-eb3bffed68de · outbound

This paper cites Bravyi, A.

Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom Bravyi, A

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-06T15:54:37.319163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:54:37.319163Z digest=sha256:c4a4689043b0ced63df3f15d1211bec9bd48e1af4401b78bad8d0b7b6c8e035e

Pith citing papers

Observation 7dbaf634-9ca4-4329-8f82-4f30a3918afa · inbound

Magic tricycles: Efficient magic state generation with finite block-length quantum LDPC codes cites this paper.

Magic tricycles: Efficient magic state generation with finite block-length quantum LDPC codes Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom

Reference 101

Resolution
verified exact
arxiv_id, observed 2026-05-18T22:51:52.931375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-18T22:51:30.133403Z digest=sha256:b6065c14cc8c479f34c313edd7b8c240f0b6739eabb722ba32f87654483d90ba

Observation a1c58749-90d6-4cd2-a79e-0827669f1303 · inbound

Clifford Hierarchy Stabilizer Codes: Transversal Non-Clifford Gates and Magic cites this paper.

Clifford Hierarchy Stabilizer Codes: Transversal Non-Clifford Gates and Magic Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-05-21T19:15:31.099017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-21T19:14:49.965519Z digest=sha256:e1b4de92b3181ec8d91d5f1bb2e6e8a49f3c26fcdcb2b89f64c968e9e1d90c3a

Observation df9a1729-9b78-46a6-abcb-0f525b079543 · inbound

Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates cites this paper.

Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-05-17T20:20:11.704107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T20:18:27.901205Z digest=sha256:c624f8db06fde52d7bc3f45b34a76db60eb8e1192b0eef8c74c7f3f4b5d55af3

Observation c77d531f-889f-4853-82dd-e3c457a5a776 · inbound

Multivariate Multicycle Codes for Complete Single-Shot Decoding cites this paper.

Multivariate Multicycle Codes for Complete Single-Shot Decoding Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom

Reference 124

Resolution
unresolved
no resolver link, observed 2026-08-03T08:00:03.979334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:00:03.979334Z digest=sha256:e34e5aabe15fb33c3b589c9c222596645229ba76c980bbb20e5dc45d3715712b

Observation 5baca1e6-7945-4576-bf74-2dcfbd534be2 · inbound

Achieving Optimal-Distance Atom-Loss Correction via Pauli Envelope cites this paper.

Achieving Optimal-Distance Atom-Loss Correction via Pauli Envelope Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-05-15T17:06:19.174221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-15T17:03:21.262684Z digest=sha256:ec3398edb2cf988ff1c7ee1789edeae1ce5305605b1981d7b3f55720529242b8

Observation a859f022-84c6-4964-b79f-2cc15f5702e1 · inbound

Transversal non-Clifford gates on almost-good quantum LDPC and quantum locally testable codes cites this paper.

Transversal non-Clifford gates on almost-good quantum LDPC and quantum locally testable codes Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom

Reference 39

Resolution
unresolved
no resolver link, observed 2026-07-13T14:10:32.422124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T14:10:32.422124Z digest=sha256:80161916ba9cc98c2e02319edfb5c80db8701696c9ab68dce971a60d1976b081