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Paper Citation Record · LEDGER

No-go theorems for sublinear-depth group designs

As of 15 August 2026, this Paper Citation Record lists 80 of 80 outbound references and 5 inbound Pith citation observations for arXiv:2506.16005.

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

pith.paper-citation-record.v1
2506.16005 v1

Coverage vector

measured 80 of 80 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:43:46.990545Z

measured 85 of 85 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:14:10.183086Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

80 of 80 outbound references displayed

  • verified exact4
  • verified fuzzy21
  • unresolved55
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 1200aeb7-72cb-40a9-91e5-ce69778cbbaf · outbound

This paper cites We show in Appendix A that a matchgate-invariant state ex- ists fork= 2.

No-go theorems for sublinear-depth group designs We show in Appendix A that a matchgate-invariant state ex- ists fork= 2

Reference 1

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Observation 8b160d99-cc60-4bea-a548-484b0bbf8529 · outbound

This paper cites an unresolved cited work.

No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-15T19:43:46.690232Z digest=sha256:751e453586f2570d168f84a94fa21c7007beadbe08e4a178e7aa1c49f8420e73

Observation 18d9cde6-4b15-49c9-b1d2-f7ada710a832 · outbound

This paper cites Here, the state (1⊗Ω|Φ⟩), where|Φ⟩is the Bell state, is aG-invariant state inH⊗2.

No-go theorems for sublinear-depth group designs Here, the state (1⊗Ω|Φ⟩), where|Φ⟩is the Bell state, is aG-invariant state inH⊗2

Reference 3

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source=pdf_text observed=2026-08-15T19:43:46.694287Z digest=sha256:8ca45b3d4104f96546d0f1538be95c3d8a8bc78a19d61cce836bad9ddd6108fe

Observation fffb13c4-407d-46e6-a530-45171a4d6218 · outbound

This paper cites This is our first example of a group for which there is no invariant state atk= 2, ruling out the application of Theorem 1.

No-go theorems for sublinear-depth group designs This is our first example of a group for which there is no invariant state atk= 2, ruling out the application of Theorem 1

Reference 4

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source=pdf_text observed=2026-08-15T19:43:46.697993Z digest=sha256:98633502b4accc082e99e1585086700e223b20878f2fd91aa94fed3b2a72a4f4

Observation f3d8809e-2f0a-4421-88b1-5f7c3a1c04a2 · outbound

This paper cites Here for the first time we have an invariant state atk= 1.

No-go theorems for sublinear-depth group designs Here for the first time we have an invariant state atk= 1

Reference 5

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source=pdf_text observed=2026-08-15T19:43:46.701630Z digest=sha256:102398da2ba5213f7a057881d3e328e65ac77bb9cfed2567baeb5ab053fb1fe6

Observation eab2ed13-3263-4e98-b6b0-f412d1c39de4 · outbound

This paper cites non-local matchgate cir- cuits.

No-go theorems for sublinear-depth group designs non-local matchgate cir- cuits

Reference 6

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source=pdf_text observed=2026-08-15T19:43:46.705447Z digest=sha256:0bbef43fbec66d4fd8be2fbc2570566d026b72fd1df8c390cc8f1785166ab1d3

Observation c062fc48-525d-4c8a-8f0e-0d02ee1ce0ed · outbound

This paper cites Huang, R.

No-go theorems for sublinear-depth group designs Huang, R

Reference 7

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Observation 16075740-d480-4aca-ac8d-7b9c5e41e881 · outbound

This paper cites Knill, D.

No-go theorems for sublinear-depth group designs Knill, D

Reference 8

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Observation 7f7a6d18-fb2a-4057-9cc1-e69f83f045c4 · outbound

This paper cites Elben, S.

No-go theorems for sublinear-depth group designs Elben, S

Reference 9

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Observation 3f7455e6-6f79-4e58-abb8-6d2b175cd2d1 · outbound

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No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 10

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Observation 693e74ef-d03c-4e0d-bef6-75e1ffc38c64 · outbound

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No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 11

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source=pdf_text observed=2026-08-15T19:43:46.724690Z digest=sha256:48651dbdfe301c51d55c17bcf3b94e66fb4e98d7cfbd6a5454a53d1f0c35b2c2

Observation 11ff9c3a-097c-4b53-b444-59033995a7e2 · outbound

This paper cites Real classical shadows.

No-go theorems for sublinear-depth group designs Real classical shadows

Reference 12

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source=pdf_text observed=2026-08-15T19:43:46.728189Z digest=sha256:e8c5d5e9b3722e5990c5dee84d122c18597f69e3a74a1ec91b1f4e34a985cd3e

Observation 46f6096f-db2b-494d-a3e2-13dc017b55ef · outbound

This paper cites Arute, K.

No-go theorems for sublinear-depth group designs Arute, K

Reference 13

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Observation 697fd111-c22d-48c5-bf64-d8e2049b02f2 · outbound

This paper cites Triply efficient shadow tomography.

No-go theorems for sublinear-depth group designs Triply efficient shadow tomography

Reference 14

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Observation fbb9a8ac-d89c-4385-926f-82c6ec6ebc29 · outbound

This paper cites Hardware-efficient learning of quantum many-body states.

No-go theorems for sublinear-depth group designs Hardware-efficient learning of quantum many-body states

Reference 15

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Observation ce4039a7-129f-4210-95d4-dee337bc9b88 · outbound

This paper cites an unresolved cited work.

No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 16

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Observation 0f918fd5-c5e2-4a9c-aaf5-3de7d721babf · outbound

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No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-15T19:43:46.747629Z digest=sha256:5179bf995559116facef27696f1d22d7c84d415addb73e977aa839d067b62a2e

Observation 6da5f5a6-9597-4d5c-95c2-e501633c1170 · outbound

This paper cites Nahum, S.

No-go theorems for sublinear-depth group designs Nahum, S

Reference 18

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source=pdf_text observed=2026-08-15T19:43:46.750901Z digest=sha256:e40f0aa03054d6f2fc13e22efb1bbe6f3f28135586aa531c283eb76425185e48

Observation 20222081-d753-4c6d-a7fa-493538949ac8 · outbound

This paper cites Hayden and J.

No-go theorems for sublinear-depth group designs Hayden and J

Reference 19

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Observation aed705ba-3f54-4887-a894-1581465062ae · outbound

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No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 20

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source=pdf_text observed=2026-08-15T19:43:46.758141Z digest=sha256:e45d4ad973755a22e95ee73d12834ac2f70f7adee49588a21e912ce72f9e8266

Observation 76a445b9-7866-4462-afb0-c217cfe3ddbb · outbound

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No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 21

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Observation bb9c36e9-16e2-4ffa-b0ba-57699bae6228 · outbound

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No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 22

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Observation 93e793b8-1c53-4fe6-8ad3-f6568ab3da2f · outbound

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No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 23

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Observation 9bdf64ff-6678-49fa-9fe0-a88595a015fc · outbound

This paper cites Unitary designs from statistical mechanics in random quantum circuits.

No-go theorems for sublinear-depth group designs Unitary designs from statistical mechanics in random quantum circuits

Reference 24

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Observation 0f3b7ba1-1c51-4a06-9377-1eeafe1c46f5 · outbound

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No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 25

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source=pdf_text observed=2026-08-15T19:43:46.776178Z digest=sha256:cbeee65d1af5693de37e2428f9177a9409df71961f79a0a1db9bcc48968d8a57

Observation ba440950-928c-45bd-af0f-49360841317e · outbound

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No-go theorems for sublinear-depth group designs Unresolved cited work

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source=pdf_text observed=2026-08-15T19:43:46.779553Z digest=sha256:11e6544ae35594d0b1024b68d8602c0652a8bd50104dcc85ff85b06c1fafc5d3

Observation 54682a51-6455-4228-bd6d-41a550d9945f · outbound

This paper cites Efficient Unitary T-designs from Random Sums.

No-go theorems for sublinear-depth group designs Efficient Unitary T-designs from Random Sums

Reference 27

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Observation 1ad538b9-3d09-49ef-b65a-460886a7147d · outbound

This paper cites Simple constructions of linear-depth t-designs and pseudorandom unitaries.

No-go theorems for sublinear-depth group designs Simple constructions of linear-depth t-designs and pseudorandom unitaries

Reference 28

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Observation 3249078a-0ea8-4892-89c4-9b9b1c78bab5 · outbound

This paper cites an unresolved cited work.

No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 29

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source=pdf_text observed=2026-08-15T19:43:46.790496Z digest=sha256:5dcf91b763ac2c9dec1eb2519919ab11787edbb8401868ad9eae0f5eaf7feace

Observation 71546205-6aac-4c7d-a986-dbf2442d5956 · outbound

This paper cites Incompressibility and spectral gaps of random circuits.

No-go theorems for sublinear-depth group designs Incompressibility and spectral gaps of random circuits

Reference 30

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source=pdf_text observed=2026-08-15T19:43:46.793906Z digest=sha256:bbf0f5ff9126e0213807e65deb6e82fb537960ff08cab29e636ab76dba24df3d

Observation 5be63a85-db29-43e4-82cc-4f584356a328 · outbound

This paper cites Random unitaries in extremely low depth.

No-go theorems for sublinear-depth group designs Random unitaries in extremely low depth

Reference 31

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source=pdf_text observed=2026-08-15T19:43:46.797621Z digest=sha256:22d56b4e0cb83f2a0ba85e4cb079b376542cbe5760273d3e4fcd303032a72386

Observation 9afe2db5-899e-4b81-871c-0ba814e0c018 · outbound

This paper cites Classical shadows of fermions with particle number symmetry.

No-go theorems for sublinear-depth group designs Classical shadows of fermions with particle number symmetry

Reference 32

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source=pdf_text observed=2026-08-15T19:43:46.801206Z digest=sha256:d7a19e7b788a203859938582b3630358e8624f11f7b2976179c4022d7dbb8bdc

Observation 2fe72136-05c7-45c9-8220-c63e13b53564 · outbound

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No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 33

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source=pdf_text observed=2026-08-15T19:43:46.804794Z digest=sha256:8dcf0fa1c91c28c39b1b03f4ac0c0467ff990ccd46e1575f8a595f81f35cc72f

Observation 65429f81-86a7-4893-8c6a-2e7bbdbe2d5d · outbound

This paper cites Miller, Z.

No-go theorems for sublinear-depth group designs Miller, Z

Reference 34

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source=pdf_text observed=2026-08-15T19:43:46.808152Z digest=sha256:323d6275cbcb11c40cde5f02199e6e5179cd8ae75280c8f0e676f78815686341

Observation f0e0ca06-3267-499e-a032-73cb269ca48e · outbound

This paper cites Hashagen, S.

No-go theorems for sublinear-depth group designs Hashagen, S

Reference 35

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source=pdf_text observed=2026-08-15T19:43:46.811888Z digest=sha256:697f9724f0fb587eadf1563065d93ed83025e64305455b57b7106eeebcd6d6f0

Observation ecff1d43-754e-44e8-a6fb-12f3fca181cd · outbound

This paper cites Marvian, Restrictions on realizable unitary operations imposed by symmetry and locality, Nature Physics18, 283 (2022).

No-go theorems for sublinear-depth group designs Marvian, Restrictions on realizable unitary operations imposed by symmetry and locality, Nature Physics18, 283 (2022)

Reference 36

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source=pdf_text observed=2026-08-15T19:43:46.815058Z digest=sha256:c8acf4e35be27f6a0377df7ca765fbd72e833704058e2b507bbbe431d67d5e88

Observation 8fdb48da-c092-4c69-b8ec-6a30408ab02e · outbound

This paper cites an unresolved cited work.

No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 37

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source=pdf_text observed=2026-08-15T19:43:46.818665Z digest=sha256:3ad3134eeade3e20138e4c2086945d27d03fc4421c6f1487637493601b356009

Observation 7e627584-8d16-4c99-a946-f005a7c61346 · outbound

This paper cites Fermionic Linear Optics and Matchgates.

No-go theorems for sublinear-depth group designs Fermionic Linear Optics and Matchgates

Reference 38

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source=pdf_text observed=2026-08-15T19:43:46.822189Z digest=sha256:b1d1c58f5495688f9ceb9b85981cd9fa39797fe1c75f0a49edfa75ce05f24b34

Observation 52c2a24f-6c60-463c-86c6-b8788bb6845a · outbound

This paper cites Jozsa and A.

No-go theorems for sublinear-depth group designs Jozsa and A

Reference 39

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Observation d56e1c4d-a9a8-4e03-b22d-ca32ce596111 · outbound

This paper cites A complete theory of the Clifford commutant.

No-go theorems for sublinear-depth group designs A complete theory of the Clifford commutant

Reference 40

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Observation 3b8f99f1-ceeb-48f3-8421-2631d0744a84 · outbound

This paper cites García-Martín, P.

No-go theorems for sublinear-depth group designs García-Martín, P

Reference 41

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Observation a2dd37a6-4830-4974-b8c9-a99cf14631fc · outbound

This paper cites Linear programming with unitary-equivariant constraints.

No-go theorems for sublinear-depth group designs Linear programming with unitary-equivariant constraints

Reference 42

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Observation be9051af-c6e9-49b3-b792-d2dd88b32239 · outbound

This paper cites Gelfand-Tsetlin basis for partially transposed permutations, with applications to quantum information.

No-go theorems for sublinear-depth group designs Gelfand-Tsetlin basis for partially transposed permutations, with applications to quantum information

Reference 43

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Observation bdfe7fb6-d9f7-4481-9578-0be8a6d05f18 · outbound

This paper cites The mixed Schur transform: efficient quantum circuit and applications.

No-go theorems for sublinear-depth group designs The mixed Schur transform: efficient quantum circuit and applications

Reference 44

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Observation 2ecbab76-67ea-4412-ad87-5d695d2b34d6 · outbound

This paper cites Optimal Haar random fermionic linear optics circuits.

No-go theorems for sublinear-depth group designs Optimal Haar random fermionic linear optics circuits

Reference 45

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Observation 776b209e-260a-42fc-932b-22d0166fa779 · outbound

This paper cites Unified Framework for Matchgate Classical Shadows.

No-go theorems for sublinear-depth group designs Unified Framework for Matchgate Classical Shadows

Reference 46

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Observation 9ea6f809-5b2c-49b7-bfaf-3591dd8b9a0f · outbound

This paper cites Random ensembles of symplectic and unitary states are indistinguishable.

No-go theorems for sublinear-depth group designs Random ensembles of symplectic and unitary states are indistinguishable

Reference 47

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Observation 85cb85e4-3423-4e6c-a7d5-82d614f3c69a · outbound

This paper cites an unresolved cited work.

No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 48

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Observation 53280d4b-7749-49d1-abb8-bde2df65a5cd · outbound

This paper cites Benenti and G.

No-go theorems for sublinear-depth group designs Benenti and G

Reference 49

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source=pdf_text observed=2026-08-15T19:43:46.867267Z digest=sha256:e475c59476933532ff848452c42dface891cc7d11dbd22f3d5b03020809904b7

Observation 5007349a-9657-41dd-83b4-bec81b85a088 · outbound

This paper cites an unresolved cited work.

No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 50

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source=pdf_text observed=2026-08-15T19:43:46.870670Z digest=sha256:467d06a349cffd820b9980a833e2f013467746d86771cdf36bdc3ac28cc35e48

Observation 0f7aaaeb-b937-49df-8ac9-0a59cd87b37f · outbound

This paper cites Showcasing a Barren Plateau Theory Beyond the Dynamical Lie Algebra.

No-go theorems for sublinear-depth group designs Showcasing a Barren Plateau Theory Beyond the Dynamical Lie Algebra

Reference 51

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source=pdf_text observed=2026-08-15T19:43:46.874917Z digest=sha256:8db1e4dd7c6171f6421e5348e710cfad719125ae49a8732ee5e7a28957811946

Observation 32bc8409-10f2-49b5-abaa-5a5b54af37fe · outbound

This paper cites The Clifford group fails gracefully to be a unitary 4-design.

No-go theorems for sublinear-depth group designs The Clifford group fails gracefully to be a unitary 4-design

Reference 52

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source=pdf_text observed=2026-08-15T19:43:46.878841Z digest=sha256:2238c257878d74c9522a3c7c5fef1b43e8d64ee428a0046c98baa9c1832d0a8e

Observation 84294456-2943-4edd-b025-a672cf5d6956 · outbound

This paper cites an unresolved cited work.

No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 53

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source=pdf_text observed=2026-08-15T19:43:46.883103Z digest=sha256:7fc3c2700f45f9413f984419b2f27ea0a1851b305ffbfa2b860918b3f1dac083

Observation d9e2206e-6ce1-4ff8-8397-c003091d705c · outbound

This paper cites Exponential learning advantages with conjugate states and minimal quantum memory.

No-go theorems for sublinear-depth group designs Exponential learning advantages with conjugate states and minimal quantum memory

Reference 54

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source=pdf_text observed=2026-08-15T19:43:46.886625Z digest=sha256:8505ca7921a5c8973bb345331d91d6fbe796e6c921d88184e377734aea6a2453

Observation 5484768d-9c8c-46bf-a032-4a983d67f399 · outbound

This paper cites Haah, Short remarks on shallow unitary circuits, arXiv preprint arXiv:2504.14005 (2025).

No-go theorems for sublinear-depth group designs Haah, Short remarks on shallow unitary circuits, arXiv preprint arXiv:2504.14005 (2025)

Reference 55

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source=pdf_text observed=2026-08-15T19:43:46.890377Z digest=sha256:3b6fb9a24adf13c3bbae97e598749919ca27749da3a59e2d2277294f1211c06d

Observation 822db843-337e-433a-ab37-6f1c879bc5f6 · outbound

This paper cites Webb, The clifford group forms a unitary 3-design, Quantum Information and Computation16, 1379 (2016).

No-go theorems for sublinear-depth group designs Webb, The clifford group forms a unitary 3-design, Quantum Information and Computation16, 1379 (2016)

Reference 56

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Observation de06e833-2fe7-4a89-96c4-30a5fea4afa9 · outbound

This paper cites Bertoni, J.

No-go theorems for sublinear-depth group designs Bertoni, J

Reference 57

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Observation 90763d8b-c862-4d24-9918-dfac2d3da14f · outbound

This paper cites Real randomized measurements for analyzing properties of quantum states.

No-go theorems for sublinear-depth group designs Real randomized measurements for analyzing properties of quantum states

Reference 58

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Observation e50c549e-2d5c-4825-b69b-726e7fa260ac · outbound

This paper cites Helsen, S.

No-go theorems for sublinear-depth group designs Helsen, S

Reference 59

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Observation 6f65bafa-a00b-4778-b97f-278fa0138f8a · outbound

This paper cites A Survey of Quantum Property Testing.

No-go theorems for sublinear-depth group designs A Survey of Quantum Property Testing

Reference 60

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Observation fc36dc6e-e421-4933-8b0b-6d84aee1746f · outbound

This paper cites Fulton and J.

No-go theorems for sublinear-depth group designs Fulton and J

Reference 61

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Observation 0b33ca96-fc38-4478-9222-5bf92831b468 · outbound

This paper cites Wiersema, E.

No-go theorems for sublinear-depth group designs Wiersema, E

Reference 62

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Observation f197096e-0146-4aaa-9305-557645a581a1 · outbound

This paper cites Collins and P.

No-go theorems for sublinear-depth group designs Collins and P

Reference 63

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Observation c8ff3654-5870-4017-8189-abb267697a0e · outbound

This paper cites Collins and S.

No-go theorems for sublinear-depth group designs Collins and S

Reference 64

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Observation 53d78663-5974-4c79-a44e-b7b4552204f7 · outbound

This paper cites Montealegre-Mora and D.

No-go theorems for sublinear-depth group designs Montealegre-Mora and D

Reference 65

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Observation f231f51d-2a3f-4b7f-b359-04714254a733 · outbound

This paper cites Zee,Group theory in a nutshell for physicists, Vol.

No-go theorems for sublinear-depth group designs Zee,Group theory in a nutshell for physicists, Vol

Reference 66

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Observation 543cdf7e-fa1a-4d5b-9638-ba16e65be9f6 · outbound

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No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 67

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Observation 78ac5f0b-f5fa-4e70-8e0b-8b6da38a0f6d · outbound

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No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 68

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source=pdf_text observed=2026-08-15T19:43:46.939790Z digest=sha256:c7d76e748ad4cdb21a0b63471798ab2fcc6cebbd5ee1fc3d2013ca30297e63f5

Observation 4548a0f5-7e47-4056-99f5-50f8b7c6d615 · outbound

This paper cites an unresolved cited work.

No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 69

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source=pdf_text observed=2026-08-15T19:43:46.943967Z digest=sha256:d9dc14a4e0ec9efab8769f3204482fe20c664f3597a6d568becb4d1a0bcd0f50

Observation 378c20dc-d237-4532-a2d6-b9b047509645 · outbound

This paper cites So, one guessesEwith probabilityp(ΠE|U∼X) = Tr[ρ X ΠE], whereρX = (ϕ(k) X ⊗I anc)(ρ).

No-go theorems for sublinear-depth group designs So, one guessesEwith probabilityp(ΠE|U∼X) = Tr[ρ X ΠE], whereρX = (ϕ(k) X ⊗I anc)(ρ)

Reference 70

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source=pdf_text observed=2026-08-15T19:43:46.948289Z digest=sha256:3c4750ed7d0e035b1a229f5e6b1cda880848befb7340b6e2e0ca7bf9df819bb2

Observation a06abdf4-883c-4dfe-8c57-51c1b2dfda74 · outbound

This paper cites projectivelyG-invariant.

No-go theorems for sublinear-depth group designs projectivelyG-invariant

Reference 71

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source=pdf_text observed=2026-08-15T19:43:46.953051Z digest=sha256:1b7111b9d54194792f6370a151328faa87e85f701675602aece0aa1df4067475

Observation 3f5af7c4-8dd9-4395-82d6-affbcb9afe7c · outbound

This paper cites Consider any ensembleES N over elements of the formU= QN ℓ=1 exp(iθℓHℓ), where the generators are Paulis{Hℓ}ℓ⊂S⊂g.

No-go theorems for sublinear-depth group designs Consider any ensembleES N over elements of the formU= QN ℓ=1 exp(iθℓHℓ), where the generators are Paulis{Hℓ}ℓ⊂S⊂g

Reference 72

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source=pdf_text observed=2026-08-15T19:43:46.957290Z digest=sha256:aa93b1bb682dff5bd12b4a203b53f362d505996ad46b4f85033270746452e1df

Observation ea7fa755-dad8-4fb1-924f-000d7d81947f · outbound

This paper cites (9) by evaluating Eq.

No-go theorems for sublinear-depth group designs (9) by evaluating Eq

Reference 73

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source=pdf_text observed=2026-08-15T19:43:46.961533Z digest=sha256:89053a71921c02a0cc18f5d45bd61c551157a61f7d18570810709fac7030c71e

Observation 66ec9efd-32e0-4aef-9243-69f4ce6bead5 · outbound

This paper cites an unresolved cited work.

No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 74

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source=pdf_text observed=2026-08-15T19:43:46.965867Z digest=sha256:a936fd656f367330c0d6d49bd4c8c461b168cb4dd21458aab3295b9eae656cd9

Observation ae54c899-7c00-48f0-aaf4-2d3889a0b818 · outbound

This paper cites Note that from Eq.

No-go theorems for sublinear-depth group designs Note that from Eq

Reference 75

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T19:43:46.970810Z digest=sha256:3a193787816d23754467a4c4d1747e23c56cadda73debf6a50260e9e2b59f58a

Observation c891f441-d969-4851-9b25-d92eb5fa6806 · outbound

This paper cites Interestingly, and in contrast to the other groups we consider, we are here able to rule out sublinear-depth approximate designs only atk⩾8.

No-go theorems for sublinear-depth group designs Interestingly, and in contrast to the other groups we consider, we are here able to rule out sublinear-depth approximate designs only atk⩾8

Reference 76

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source=pdf_text observed=2026-08-15T19:43:46.974521Z digest=sha256:3bc7182d1724ca4b06fcbeee0207b103cc0e5a6236c57b3d8f6040a14eeb0d31

Observation 19993228-cfb4-42f7-b596-34fe1bc9cee6 · outbound

This paper cites real”, “complex.

No-go theorems for sublinear-depth group designs real”, “complex

Reference 77

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T19:43:46.978587Z digest=sha256:2fd63115f6a74781bb8483997d36332d1afdf927a38648d60fdc68c78154441a

Observation dd71f05d-74d1-43d2-b485-29ff2aa5d15a · outbound

This paper cites an unresolved cited work.

No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 78

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:43:47.739214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T19:43:46.982410Z digest=sha256:bc1fbf874340d8219498930e97f8bd1f43eecc9755420cebd8b8cc6d77fba00c

Observation 72c020c5-aae6-4d06-817f-d8aa27795281 · outbound

This paper cites an unresolved cited work.

No-go theorems for sublinear-depth group designs Unresolved cited work

Reference 79

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:43:47.727658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T19:43:46.986424Z digest=sha256:f595f9c674ab155e8e1fd3f42c730e2b5d4e0bcffca82e76e0dd388f1ec82e2a

Observation af939288-a411-44c2-bc23-ccb295684a76 · outbound

This paper cites HereχV = Tr◦RV :G→Cis thecharacterofV, i.e., the trace of the representing elementsR V :G→L(V).

No-go theorems for sublinear-depth group designs HereχV = Tr◦RV :G→Cis thecharacterofV, i.e., the trace of the representing elementsR V :G→L(V)

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:43:47.716689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T19:43:46.990545Z digest=sha256:3556647410e541616c575e2229c94c6e98ca3a8f3860672f5d7473f6ad221e75

Pith citing papers

Observation 5aad5bd1-3326-453f-94b9-65912d89524f · inbound

Apparent Universal Behavior in Second Moments of Random Quantum Circuits cites this paper.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits No-go theorems for sublinear-depth group designs

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-04T07:56:56.092030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T07:56:56.092030Z digest=sha256:31510eda671f067f43a6f9904dcb16b2b6acf19497886de6424b3852a4a942ab

Observation 63c7e9bf-63c0-40be-85b7-538ab35ce4b3 · inbound

Classical shadows over symmetric spaces cites this paper.

Classical shadows over symmetric spaces No-go theorems for sublinear-depth group designs

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-05-11T18:21:09.992092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-08T16:08:50.102897Z digest=sha256:1d6f67a34fc8fd3356e2f52c630644026279631f0b1603c3e05d6ebc96e25b38

Observation a5ab8641-b746-4b3f-a3d6-6cc512b48752 · inbound

From Pauli Strings to Quantum Dynamics: A Unified Characterization cites this paper.

From Pauli Strings to Quantum Dynamics: A Unified Characterization No-go theorems for sublinear-depth group designs

Reference 229

Resolution
verified exact
arxiv_id, observed 2026-07-03T01:37:31.138011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-27T16:24:42.160089Z digest=sha256:3e79ffe30c53eaf032de63b5a8be281a141b2f14de6f2f28eac4879962ad86a6

Observation 7d2af845-2ee5-4d48-be12-fa14c863834d · inbound

Particle-preserving fermionic shadows with mode-independent sample complexity cites this paper.

Particle-preserving fermionic shadows with mode-independent sample complexity No-go theorems for sublinear-depth group designs

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-06-26T05:39:00.075229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-26T04:10:51.410179Z digest=sha256:6dd87069f57e8b17245f9fb3f647ee64c41c820b62f14b61dc1bfb9f3377b319

Observation 7ea76b7e-a286-4758-9d83-7ca8eaf41f0e · inbound

Ambient unitaries don't enable shallow group designs cites this paper.

Ambient unitaries don't enable shallow group designs No-go theorems for sublinear-depth group designs

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T05:14:10.183086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:14:10.183086Z digest=sha256:5f77314c7f03edd376ba25c134d4bd4fbbd8183796d7417ca4fda911ffd7cf4b