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Paper Citation Record · LEDGER

Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources

As of 2 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 2026-08-02T06:30:47.504484+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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:860269d1601f61550ce29f1f0ba00a74093613fad395feb43057f2d85e4b8a58

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:743345d586cb85a4d5d09213694c76e3b10883b137c8967fe19ad3507971f67e

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:590665baa3306010a3f58e91548caf9233593789a0a8f727abaf1afca638ba82

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:96437e2d1db3829396bc59a7f41573822e6be2aac0e4d9a3bfe936b0f42ec0a2

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:0003517c4e98ff0b316ddff579848a4d12fa83c7e92679d27928e24f4859617b

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:22c74d68b4b2442825b685d6fb119fddf8d2de6603fc2e40b2514b3e6f16035a

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:efc830e0b3f428fa16a5b9788aa7b3e0b03a1fae49d9952a109d98923688394f

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:f68766b00f826528e8c1af8ee4192b2bd688da91b4f983ea00de8e9b0d8a4f0e

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:f0e5202397d617507c1d0ef415794675e9894ebb983778fe2d423970453ced91

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:c60d7253ddbf32efdfb823dfbc1148a695d89e586a0da98eae395de6372caa70

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:d59a1bce70ecfaff864274a2f479dad1a9927d03565c9869d82a46d16a26545d

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:5acb273fc3881a9a4821a31674b86e7a6f9d6b5fdb11a26c363f4564b40a3a99

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:3478bbfb3d7a6344b7eb30c54c9be40cf9253f623a0848e5cb26c2411212627f

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:af0d6e58c236b80f473a1bfa1361d5a7e1632865fe40d763c123ce0a6283e123

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:3da23259f76f1056f8f4972741d18502c1c1a6ecab0335e0592347bdb6677299

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:d508c02a395add3a67734f983d61aeecae50331a592d221cb5adcc2ebf7cdfe2

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:ac34dbc5b0f2e4ec960a03c44fc74cf9a44a9c24f9d58389bc58e8ca7139c2bf

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:23b997b3b75b0db01009d10d4168d47d6e760c1f6ee7b4061caf4a5a3548cf57

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:f1778ae199946afbb5c28436c1bab6b3c1de74a9dd0d63c47995202f4dd3b4df

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:749d34239da8218c2cde4f38273d96a82bcb4314464e6d61b873a0daad77632f

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:695f72aa549f099ced632f9191a6721b002a0132e95413b3cc94b2530e13635b

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:8928a6548e7911dafa4203ab8e7cf2737c664ea335ff2a39796846a9ab7dd432

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:d63e83dcccfe4e002d19a3b8e2b600db811ad4cf64223354396e3f4ae27848d3

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:9219d49d798df63232be9a221de173d16cef1486f0ccace95bd2f2733c5637ae

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:5f68e377eb725a1d47165eb066ca9ef18299abc0245bb4ffcf5497579d154176

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:71abd26c4cc2491753e77ce9ddd1d1f793f94ee171be8917bbbb1f6db8c88cab

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:3da7085e95b68d695c10b00123d951c6f49da86f2934314a081e265230768bf5

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:d08dcc062e0d4f41107b9f0170aa67c61efae10f5739c72131ff6a1a806970f9

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:61d6f65b85915e686805b5a279e72a990b93d5f594f2e2cedb18d262b2af8cc9

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:81ac042be31925a05f25a5ab907397373580a344647a44b05b2063becab4aa21

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:673191e44c516dd12aa961153f5f32bc549bc32e3ce67e7bc3e5bcdd800db0b7

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:00ba40e56edb0d99340f7cfdbaca79867f24771c5ccd8e43dbae47b0136b7f20

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:2cf2186a19164ad262e2d11613875cc4aff5f17145867c2322ff9c492d2243fd

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:373393a687cc62fee6423f3394a55a4473fc935383832028dd9891876c3665a1

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:0a885a2cd7ccebb7735d8c5fd214b971b376557641435e28bc0974686fbefdee

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:199eb9ccf57710f386e9eec10ea41caf3a60d3274b2262adfa4979d600698aad

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:7e913ca57b0c3a59f8c01e90baff1ba1e3130a3a60401ca36856d1a0e428b8f8

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:1a899f0b3f55a2b82d6dd7d2edb0a0fd1f723f755617fadc31b52f7669b962f7

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:d520390be98817295c0f29855343b955f9dda9ef350f82450258fccb0a556cab

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:3d30fce8843a1d693be820d2bb347b7a977a3b2a3ca217a33a268fb59c8344a2

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:a0730c84ff726d54e6e64c726d1a55004e0dbd5f60d4a87c9e841ca86a902aba

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:7dfa6b06db4d1bcc1b997860bb2b96895b824abbb8e7c72d9560531c599f8151

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:c10942b5db566b9dd13ab178bc86224e4aab243e27bcf522fed63c9b55eb2c32

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:b1d56ca3c612f94f5825b9f2d8fea97165f1383539a470752897496aa9251837

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:2791e6bb76bb80e68069ca972e7e05e0dfe308404a03894803de2d90c3eceaa9

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:8655711e2e42a13f1d290f3f6260790c3ecdc63d0730a39efbb93dc724f768e2

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:b8403c275a86a10f9efc9f8718ed2664399fd81cac1492081e94e85e62385478

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:246abc38c7065ed3aa885c55ef1ec55da5832be6feaf322573147fa14557dff7

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:9d92b1f6a8d55f30d35ad1522038d2cd516fe9f5b5e79a67add0e1971b1ec3ac

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:32b3aa83a9fbcad5fe57e8765b71b2182c4d5a9a0a98266028584f21a5dcbd23

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:74969fe6af01e5d1e1d0a75366c9911935497e360cf6826293f16f432a08bbb1

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:ef0bdf67732871199be111d6aa246b648edc1b116b2089ca407fe1707d4df782

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:782eaa2fd192446b116ac637f9372b3e508e461b536fd97794af222612883738

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:75e5a9ef0bd8877f7bfb9e7f7b2a740d8c06f14ead94854f8694bcf49fc44af6

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:6d6bea22d6a91d4574c92e33c8580a70947d43200b28bbda73f70bcfaf6a3580

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:5e938f9d86c3ba923f574bb436f64edc8d1480ed9bfdeea30d8e864f56bbebb7

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:e46428dfde84c0ba467ca540ed96dd86d2e5965927842764d8d4153ada5d4d16

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:3b94013bcc23407c348f5691bc385a9d6930be664be1ece0ab6966e3c2653296

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:cd90fd7b0b3b0439345be577fc2d7cd28594fa2a071b3c8cd8ff477c943b015a

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:52bd8d915568ae6a3eb4454c2b771ace1c53ade09418c8e69a6d7541e8726169

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:d3db381f67a29c02161a3f0f86daa7179a8990a5ef1c7227e18a1df5a047a8f6

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:ac9fe1a89beefbbf45ef0d35bca45ab0b5588b5cff8ad339d306719723521cdb

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:beb65058930eb482860e9b93040bd3e012599a50ccb2a9a0286dc48ba612089a

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 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-16T20:13:33.129465Z digest=sha256:1b2e4984de66f2347eb9541c9f4e050cef7d79a5ebf8866abe22fd99889c414c

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=sha256:6319ff68b299b72c7688d876f8257c02e7b794bb7718e26ef78f375c6c071e5c