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Paper Citation Record · LEDGER

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources

As of 4 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:2512.20787.

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

pith.paper-citation-record.v1
2512.20787 v3

Coverage vector

measured 64 of 64 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-16T20:13:33.129465Z

measured 65 of 65 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T15:40:18.614186Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

64 of 64 outbound references displayed

  • verified exact4
  • verified fuzzy37
  • unresolved20
  • parse uncertain1
  • malformed identifier1
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5954f712-5b29-437a-8c5b-5c5dd90e8aa6 · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.435767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:c18b4c462b57c29aa7622a38d02153cb4b0459dd8e534717b94489b526794009

Observation 16e48798-5782-4793-8d49-55b1e7d9a43e · outbound

This paper cites Clif- ford group.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Clif- ford group

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.438478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:41d9eae69686124a19ab0e397a16f0a71fec232b4f72137051b5f06b85b2d6d3

Observation c9bdd034-21b5-4ac1-a752-5e91c297fe29 · outbound

This paper cites Underχ, adding 1 modulod corresponds to adding (1,1) in the product ring.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Underχ, adding 1 modulod corresponds to adding (1,1) in the product ring

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.402500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:f5ba5734ea1ae241116ff33a107226dcb18319752fba2238b68798d659ee131e

Observation f611e70c-c212-4064-b34a-410f779a5c9e · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.417453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:d282169e98846c053038f6a68360409781a6c5a012f6832531733ad711aaca0e

Observation 44b014a0-ce08-4add-9824-5d237849b6ed · outbound

This paper cites Cliffordness.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Cliffordness

Reference 5

Resolution
malformed identifier
raw_fallback, observed 2026-05-17T01:28:50.389340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:681b5e16bdcc12e3a1a8c798707cb520e841287ddab368d98e9da1f259247086

Observation 889c834f-fcc3-4225-8e23-1626635f962b · outbound

This paper cites We will show that Cp is a maximal finite subgroup of SU(p)/U(1).

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources We will show that Cp is a maximal finite subgroup of SU(p)/U(1)

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.432848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:e1f0b024ded7525f416d644677c9e5f9d0f9d636b02b245e60e4d171cc756431

Observation 6eaa0974-d055-4e1f-813f-211b8c85ca65 · outbound

This paper cites We distinguish two cases based on the prime factorization ofd.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources We distinguish two cases based on the prime factorization ofd

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.429447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:636e9c0956f37d1438c8aea16839b3cd10a4aedc7f257f8e8c51c7ecbb97c5b8

Observation c9d489c5-bda0-4422-878d-ea3df1b6f0ec · outbound

This paper cites Forp≥3, this order is strictly smaller than that of the sym- metric group|S p2 |= (p 2)!.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Forp≥3, this order is strictly smaller than that of the sym- metric group|S p2 |= (p 2)!

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.276033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:29d6539f436de86203a8724c1b33dc4a2292c92538c15969563c8b9a6acf08ec

Observation aa06e412-b7e9-468c-a281-4a5a880901b3 · outbound

This paper cites However, maxi- mality fails in the kernel of Φ (the subgroup fixing the blocks).

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources However, maxi- mality fails in the kernel of Φ (the subgroup fixing the blocks)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:31:25.354895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:50e92d8ed08ff405c9c04a83e580ce97129b1618996effa2cf4082ab1b9400f6

Observation 8e3c51c0-e5ae-4906-8f44-575594035d79 · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:31:25.352911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:5298af83a70515dedea066d9791ff9d57abebc5ca453a6e30a4364d22a787ab6

Observation 8b106c02-7554-4a16-bceb-fc4e44c1eb96 · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.379194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:60452c72505979a8971c59e1198f40d66193dc4aabc65743a67634023384ed92

Observation da72c1f5-135e-4ded-a3de-772e8bb0a73a · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.292463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:4094a6fd5215cf946f4b1b6ac392c16287810c4ae9c936398fa46dd58e4ac2e4

Observation f218e3ca-c375-46b5-9cb9-d42690cd6c68 · outbound

This paper cites To prove infinite- ness, we apply Theorem 17.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources To prove infinite- ness, we apply Theorem 17

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.373214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:5e769afc748492ad9641b95cb121dd7e495c3e941bfd22d65f199cebc3198cf2

Observation 6c7bd05b-a4db-47a3-9fea-6c4793bdbe44 · outbound

This paper cites Explicitly, the adjoint action yields the diagonal operatorD π given by: PπZP † π =D π,where (D π)yy =ω π−1(y).

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Explicitly, the adjoint action yields the diagonal operatorD π given by: PπZP † π =D π,where (D π)yy =ω π−1(y)

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.366344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:bc972c154dc78024b1c48441c9ebe4c9d5c5323ca790cbb3fa5a6327ac75f906

Observation 36352a40-40f4-4e41-9487-22b74c3ca1b2 · outbound

This paper cites Proposition 35.Letτ= (j k)be the transposition swapping indicesjandkwithj < k.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Proposition 35.Letτ= (j k)be the transposition swapping indicesjandkwithj < k

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.349880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:d4b8296c2a7a948934490efb666ad2274f262af684aed6d5389a5a3da72637d0

Observation 97c48479-ab40-4af0-b11c-2209c5033cf1 · outbound

This paper cites Letd=p m withm≥2, and letτ= (0 1).

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Letd=p m withm≥2, and letτ= (0 1)

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:31:25.347114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:d8944ff2e0f6673542a50536e1a8204b096768f07b0c067ec56473a67985a3ce

Observation e93b68e2-4829-4edf-96b2-f070b76dad32 · outbound

This paper cites d=%o: Infinite=%o\n.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources d=%o: Infinite=%o\n

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.369895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:a646e10df47146ccd9a9e19439f6ca2cab0b004c27f456541d88e95d3602fe07

Observation bf922d3a-e2ac-49e7-a9b8-8ac759bfb1de · outbound

This paper cites •The group generated byHand the SWAP operator S, ifk=l, whereS(u⊗v) =v⊗u.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources •The group generated byHand the SWAP operator S, ifk=l, whereS(u⊗v) =v⊗u

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.396077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:97bc852b2bce5f7bb3d5b4eeaddd672c1e02ac3bc550af42bde644426b93b7b4

Observation 4aebfc5e-cf47-4626-b89e-b229ac935f52 · outbound

This paper cites As a particular case we obtain: Corollary 44.Letk, l≥2.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources As a particular case we obtain: Corollary 44.Letk, l≥2

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.359752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:8af5deb981430d5f59a41a750c129ba3e094a01f8827a8fc71d63b153d19a2a4

Observation fcabf854-efd4-4045-9924-4c9c116ac46b · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 20

Resolution
parse uncertain
raw_fallback, observed 2026-05-17T01:28:50.362908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:521c9379009755c90ac4f2165885bfe93c0c65e02aa56341d7ada505aa129a62

Observation 345eb8da-f41c-4a22-9bb5-fbf9474aae67 · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.356400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:e76e65c7cbc8c60d2e856b744519b060261dc8df157dcf31dd44ff53a9c678ca

Observation a781d086-e26c-439e-9827-f1a605e8ed67 · outbound

This paper cites Consider a subsystemkof dimensiond k.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Consider a subsystemkof dimensiond k

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.353196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:d406c1875c40b690bae9498e537edf840a4356b79a3ac45fa0593b34aa67d686

Observation 429f88a0-b5e0-49ea-ae0e-91caa3b6df46 · outbound

This paper cites Since global irreducibility is guaranteed, it suffices to demon- strate that the group contains a dense subgroup onat least onelocal subsystem.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Since global irreducibility is guaranteed, it suffices to demon- strate that the group contains a dense subgroup onat least onelocal subsystem

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.282615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:b3ed7256c0fd95ee005cbe07b5ba3fa0a5dd83f0afdaf283be32e6ad1dee911f

Observation 055c7160-6e35-440b-b1fa-ecd63f32d022 · outbound

This paper cites The Heisenberg Representation of Quantum Computers.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources The Heisenberg Representation of Quantum Computers

Reference 24

Resolution
metadata mismatch
local_arxiv, observed 2026-05-16T20:18:24.105690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:7b181485bfb496984f6de96ac27d3d49d4235d4a5d4482d86bb15a200fa622c1

Observation ed5ca486-221b-4f00-83a7-cb7d4e442f6e · outbound

This paper cites Aaronson and D.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Aaronson and D

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:31:25.348891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:95dbf5fe32f716b91e6f0ba3408521e327ac39a500f91175d43eeac9fed2e1d6

Observation a28c2f04-cc51-491f-b402-2fdb2988ba2e · outbound

This paper cites Gheorghiu, Physics Letters A378, 505 (2014).

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Gheorghiu, Physics Letters A378, 505 (2014)

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.278995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:f28767924a3a1de01c85f195476a3d52dc811437e5ebe1f1d1b074c3cb1a32ff

Observation 65b4ee6b-e45e-4984-9054-09bdd201a01a · outbound

This paper cites de Beaudrap, Quantum Information and Computation 13, 73 (2013).

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources de Beaudrap, Quantum Information and Computation 13, 73 (2013)

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.382572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:151c3fb55895ada6a2af01c51c689fbb719b93730045aa87dcabb436cac5549c

Observation b42c7a24-77fb-4f7e-9c12-c956470f96de · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.289084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:c5b2bf973895f2f1656338d0e1008c1ed81b1d0bf3bd2ac6bbbd584d8a0deb3c

Observation 356b18b2-3553-4d4e-8df5-e37a0771bc14 · outbound

This paper cites Gottesman and I.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Gottesman and I

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.385855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:c4766e28ba02180fc7b7e3c8ed40f00e4a7ba45b83bec07a22787ce1d120e689

Observation 934cabe3-0a2d-484b-9159-22992b3abdbb · outbound

This paper cites Gottesman, Chaos, Solitons & Fractals10, 1749 (1999).

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Gottesman, Chaos, Solitons & Fractals10, 1749 (1999)

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.392823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:902634a63461ce4ecc3a6b28a606b91f48cc1e82c282fc5e090cbdb8c63a8adc

Observation 1f25b55b-089a-4ee6-af1b-169f0451ee23 · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:31:25.345177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:da783f3b3cf288d425e630ea5192800ee2776a7bee142622d0755cbc9b4263a6

Observation 0b71430e-9a15-4e07-9c2c-cd5bc3422349 · outbound

This paper cites Bravyi and A.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Bravyi and A

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:31:25.343345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:306399ee297f2ff8e0155b35724fe45f6bec0042ecd5ec599c25b098946dbd65

Observation 9e8745df-9e40-45a2-929e-851d479cc764 · outbound

This paper cites Fault-Tolerant Postselected Quantum Computation: Schemes.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Fault-Tolerant Postselected Quantum Computation: Schemes

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-05-16T20:18:24.101430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:257c5847b7065a8a1737ae27c25e96e075254bdec5b6e5cea564499f55d85833

Observation 9568889c-12b1-4203-aba9-8f55a6b3882e · outbound

This paper cites Howard and J.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Howard and J

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.285841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:cad9b4e97be314a3107de51b23cf9eb58cf9944da67e242138ec0f0b886d4643

Observation 8b493478-4f7f-415a-9bb8-0dd73d0f9879 · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:31:25.350763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:b105f7a48ba2f3a6203a3e5fe238c9e3f052925e9fe774b74fb0b0d0fde8ff8d

Observation 5885058b-fbad-45d4-b482-566d0b298b04 · outbound

This paper cites Ringbauer, M.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Ringbauer, M

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.339004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:59aa0e55db5585887c614d96a7614f46c0dbf50f8e804bebef39198d9f99bfc3

Observation 0dba7ac5-776d-423e-b6ba-9ec53056bd27 · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.440817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:446c521ef653dec22ff31ee50cda0c31a1adec2437d6222a0cc506dede9aa52c

Observation cb9f7e96-7509-4d61-9172-84e68ac76fdf · outbound

This paper cites Chicco, G.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Chicco, G

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.335966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:a91f407ebbe6990f0ac5f21b5290a9a358ae7f6f9ba0022d1f757748e6c58e4b

Observation 73ad9a9d-ce64-49d6-8d1b-d169a0f32517 · outbound

This paper cites Luo and X.-J.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Luo and X.-J

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.306523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:7c11e68e59528be3ceed4437b2426fe56624a0cf7d795cf4c8014662b475500d

Observation 3b4b5583-38e9-4d6a-8545-2d91e28850a2 · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.302374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:5b99390b403194c70d787921dd2a3e0f7fe17d8d0cebf8d5e832b44aef5f9bbe

Observation 176fdb42-af2a-4d66-81ab-e5e9c3f91c1b · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.409064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:cf4aa2000c98596c8369120ca455b8668f61f2ff2cdece93d7c0a1aa6c904e73

Observation 88d16f53-336d-4859-af40-7f440232e17c · outbound

This paper cites Brylinski and R.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Brylinski and R

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.332890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:e647adc5b60e571cd09c326dc6def9f22515b74338ac3fd8de1a29d91ed703b1

Observation 13782ec9-09fc-47fa-8b62-e564e281b2e1 · outbound

This paper cites Tolar, Journal of Physics: Conference Series1071, 012022 (2018).

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Tolar, Journal of Physics: Conference Series1071, 012022 (2018)

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.426441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:888242885327b310cf054253e8788f68a9b2fa4c7faabb51b6bfe4d5ce86806f

Observation 9473f3c0-99ba-41ba-8ad3-71c1f677e162 · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.342397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:65027d0c8148243fd0d74dc970dc04962ab3b1f2c0849154376d54299fb4d49c

Observation 15f65f2b-2069-4fe6-b714-f019a6ed4449 · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.299091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:a38cd95dc915ed20d5f843d77f6dca35a92ffbfcd62c3ca7ce481409554d7c75

Observation 54006be0-3d21-4f19-8191-51d8b3e2d67e · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.295767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:c5b617e25cdaec68289a1bbff05ad51eb2350f31e2ccba70e19bfe74caaad3a5

Observation abcbb7bd-f89c-4ad2-873a-0cb6edd2c0f3 · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.399112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:cbf4360faaa43518b0f184a766cc257504be582efcf325f928876b83999ab7d7

Observation aaaa5e37-8b8b-4801-a13f-c0c17f1a905f · outbound

This paper cites Serre,Linear Representations of Finite Groups, Graduate Texts in Mathematics, Vol.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Serre,Linear Representations of Finite Groups, Graduate Texts in Mathematics, Vol

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.346257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:51a10f9dd7b6d7c6b7482a9b9e0962f25f8be94fc6c76dc305789f97c3147434

Observation edc29996-8e02-4732-9e08-efe7fd1c3edb · outbound

This paper cites Clifford groups are not always 2-designs.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Clifford groups are not always 2-designs

Reference 49

Resolution
verified exact
arxiv_id, observed 2026-05-16T20:18:24.097205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:700729a89458eb6591925d5481989c743401daf32f7a5841f639578e7458aa21

Observation 2a8f5e00-ef81-4a9d-9cb5-d49baca29b17 · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.319892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:91b1ab7d2a9f24940b7d8218df9d58a63fdc9976ef50cffc5a62595dba38bf87

Observation 383138f5-77a9-4b3b-9eb2-e80aa7b7c68c · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.313279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:2f85d35dbd18a24112f1edd92135eb4c162491c675cdd6e9e38a06c2a457951a

Observation cb820104-0629-491b-a227-9c3e1727d9ec · outbound

This paper cites Brauer, Mathematische Annalen169, 73 (1967).

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Brauer, Mathematische Annalen169, 73 (1967)

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.309906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:ca47e73ff84d02676ec2e5ef21d661d79c409524e76d6359cd51c6aa093b9b6e

Observation be1d73b9-da4e-44d4-bf3e-c9f61db653f5 · outbound

This paper cites Bosma, J.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Bosma, J

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.423187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:ae6972995df6d5fd83539c1c65aabac0c094522a95aa6b649e0ed0974e486f8a

Observation 9bca2e67-5dde-4fb2-bfaa-cf6ec1dacea8 · outbound

This paper cites Beverland, E.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Beverland, E

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.323014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:0585193c27ed62d66d92d83dc5ffb298288ef79ee1199bbfe3c7686b0328d541

Observation aa65d667-05f2-476e-86f4-6e49b8692a59 · outbound

This paper cites Veitch, S.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Veitch, S

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.326247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:a613c2f1608299e996c51de9dd8916395cf59abbf443e81b7ec8854e8c615969

Observation 778ff5b9-49fb-404b-ba35-077718eb8a79 · outbound

This paper cites Howard and E.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Howard and E

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.411825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:c7a9e5055fabf4ede36851f03f64e5bdd2e05baeff67958c4dbfecf7da431e93

Observation be58ed04-3d67-4d20-9abf-204a317318a5 · outbound

This paper cites Bravyi, D.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Bravyi, D

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.329764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:6d596fb3038a582bbe83cef75fc15681290167b9cee182613c3b489e70a500af

Observation 740b3705-0ffa-4170-8274-95f054c9274d · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.376105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:d0aec058f74821e889e3b36a316bfdbcd3abdb3e2738054fced302f8124d027c

Observation 16dc9121-9b41-4776-8e07-c12807b910c1 · outbound

This paper cites Morvan, V.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Morvan, V

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.420256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:59a07ab450d1aabc6407d77dac4effb3b50d9a0de0baead9d40a83810ab06ac6

Observation 0172649c-e5de-4f09-a1a7-61afba489929 · outbound

This paper cites an unresolved cited work.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-05-17T01:28:50.405713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:fbdf17446064b57e81720d67e57633f7309e5fba020f242af2c48f6f5e937e1d

Observation 8f391e1a-41d2-4a4e-90bb-69e1db2c0a02 · outbound

This paper cites Heralded High-Dimensional Photon-Photon Quantum Gate.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Heralded High-Dimensional Photon-Photon Quantum Gate

Reference 61

Resolution
verified exact
local_arxiv, observed 2026-05-16T20:18:24.092997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:99f42fada769f475a42e37809f70a5d68ac4bf5b88488f492f86790af177c8be

Observation ce415fd1-f52c-4d46-bdd9-8e8581a79e35 · outbound

This paper cites Litinski, Quantum3, 205 (2019).

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Litinski, Quantum3, 205 (2019)

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.316689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:2903154ce71f9971241caf05697337b76f9f76abcd06671fccf6cb95dada8e15

Observation 8a70e6c6-1ef4-413c-ac70-c81751964f9d · outbound

This paper cites Gidney and M.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Gidney and M

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T01:28:50.414554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:4d9549e6cd8b367410cd41c873c50312c6e8546f24cf5281ab699f44ecf989b7

Observation 7a34d32e-389f-4d29-bf4c-5473393b9295 · outbound

This paper cites Magic state cultivation: growing T states as cheap as CNOT gates.

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources Magic state cultivation: growing T states as cheap as CNOT gates

Reference 64

Resolution
verified exact
local_arxiv, observed 2026-05-16T20:18:24.109457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:1393fa42163919b40719955cc4dad802822ffa785fd45032dbafdc0f3f03bbb7

Pith citing papers

Observation c8ef2980-6f10-4f27-b967-b73990f25c74 · inbound

Magic-protected entanglement and Clifford-irreducible structure in magic state space cites this paper.

Magic-protected entanglement and Clifford-irreducible structure in magic state space Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-01T15:40:18.614186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:40:18.614186Z digest=sha256:bdd9f14f29156e9b2625277a956a0ef6983054414ebdc0e677ec8868d16930aa