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Paper Citation Record · LEDGER

State $k$-designs from Hamiltonian evolution

As of 10 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2607.18537.

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

pith.paper-citation-record.v1
2607.18537 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T15:18:49.698391Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T09:51:15.091962Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved38
  • parse uncertain0
  • malformed identifier3
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 88944e9f-6559-4a2a-b417-df3a6723a750 · outbound

This paper cites an unresolved cited work.

State $k$-designs from Hamiltonian evolution Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:44.353088Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:44.353088Z digest=sha256:635e8493d577607b5822796640572806d550f788e67d317d03c3859f8eec5bb7

Observation 27cb72f6-d276-49c1-848f-768ff8016cbe · outbound

This paper cites an unresolved cited work.

State $k$-designs from Hamiltonian evolution Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:44.434577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:44.434577Z digest=sha256:5cfdbe1374fc322b1e8f86fa83de66e7e63fe6f52f412264bac44cd02eeca7ef

Observation b75289e8-4ebd-43b7-898e-53b1627c9c5f · outbound

This paper cites Haar, Annals of Mathematics34, 147 (1933).

State $k$-designs from Hamiltonian evolution Haar, Annals of Mathematics34, 147 (1933)

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:44.638730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:44.638730Z digest=sha256:095b68eabd91b7e9139a17c44f3b0a085058cbaa06ec5428d35221367fe15238

Observation 89e8842e-2d60-4a84-a8f1-477e0509e263 · outbound

This paper cites an unresolved cited work.

State $k$-designs from Hamiltonian evolution Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:44.789173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:44.789173Z digest=sha256:677a385216fa53bf3cf59bbb040cdd13df73eea26f0d5a7a5da19771c34bf213

Observation d4e86a0b-ded6-4137-8cb7-09fa1dedc71e · outbound

This paper cites an unresolved cited work.

State $k$-designs from Hamiltonian evolution Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:44.899265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:44.899265Z digest=sha256:8e3c3f9dc4c31b7fc992bcfba9bfaa9c710979fc47a1b4cdf80c8d5268ec2c0a

Observation 9da9a41f-6266-4b23-b1aa-d9eb6b3814ff · outbound

This paper cites Ambainis and J.

State $k$-designs from Hamiltonian evolution Ambainis and J

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:45.157073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:45.157073Z digest=sha256:e2698946ede3a80deb1d5122d0af7fb4eb13e48820948f3cfc0b85931996e485

Observation 26f7b273-9e4d-4326-9c53-d742f89f9f95 · outbound

This paper cites Knill, D.

State $k$-designs from Hamiltonian evolution Knill, D

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:45.222654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:45.222654Z digest=sha256:719c033e92f44b6b72873ed735b103719c4399e20fba08143a83dd13363b8b85

Observation 948434e0-b9ee-47ff-912e-b017fe38e29c · outbound

This paper cites Huang, R.

State $k$-designs from Hamiltonian evolution Huang, R

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:45.402391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:45.402391Z digest=sha256:baad9a8dc01ee6dd9da47fe4c8cc213116b709a7b62ecdb45d1edeb1de65dd5a

Observation d4491cc2-71f7-4454-aa36-c595be931494 · outbound

This paper cites an unresolved cited work.

State $k$-designs from Hamiltonian evolution Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:45.550395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:45.550395Z digest=sha256:e983518aec5631a55a0b37e3195f90d0dd5384fa9fc2993209758ae438486c59

Observation b3abf57c-9f3c-4c90-a279-854a150f054b · outbound

This paper cites Ippoliti and W.

State $k$-designs from Hamiltonian evolution Ippoliti and W

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:45.644551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:45.644551Z digest=sha256:f6993a5e6ce9523e42f7131f0c712bb20bdcaa73f2fe8c1841e0ba39c72821cc

Observation a190c7e1-9e61-440e-9873-2e0687ccef6b · outbound

This paper cites an unresolved cited work.

State $k$-designs from Hamiltonian evolution Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:45.791175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:45.791175Z digest=sha256:a0b3c9c74f2f6a16246cd1e92e532ad9a6b4a8abf04db1192c6e5c14cd3a2e63

Observation 36f42be8-af0d-424e-92b9-81e4dec2d0d5 · outbound

This paper cites an unresolved cited work.

State $k$-designs from Hamiltonian evolution Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:45.877736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:45.877736Z digest=sha256:6354bd78894668a52db00dd9eaf0e56190c3674fecf815406dd47e4b5a4fb90a

Observation 51ef5e79-5a78-49fb-b9f8-ffecf1435cd4 · outbound

This paper cites an unresolved cited work.

State $k$-designs from Hamiltonian evolution Unresolved cited work

Reference 13

Resolution
malformed identifier
no resolver link, observed 2026-08-01T15:18:45.949787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:45.949787Z digest=sha256:ff2b4e0283c8d3ce62e03877f473d1256238cd82bd38503e55098272cfe5b54d

Observation 38d50aa3-1cc2-45e1-b7bf-939b20999b7d · outbound

This paper cites an unresolved cited work.

State $k$-designs from Hamiltonian evolution Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:46.022487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:46.022487Z digest=sha256:df8862375e45331c2324149bd58d2756c7cb325522103591f11d58a8ac741f49

Observation 6f9b7289-0c68-42f1-b019-3247cd043696 · outbound

This paper cites Ghosh, C.

State $k$-designs from Hamiltonian evolution Ghosh, C

Reference 15

Resolution
malformed identifier
doi_truncated, observed 2026-08-01T15:24:12.375073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-01T15:18:46.104898Z digest=sha256:1b2e770e8a919eebf033ed8dde0c5a6b524a06f54e1dd145ea70dfe2675c456e

Observation 3c4f1ce9-3da6-446a-9105-0cd43c280050 · outbound

This paper cites Nature is stingy: Universality of Scrooge ensembles in quantum many-body systems.

State $k$-designs from Hamiltonian evolution Nature is stingy: Universality of Scrooge ensembles in quantum many-body systems

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:46.201402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:46.201402Z digest=sha256:d531fc4d8b08e56a84a6eba060784b4b03912755d0ffc0894f1e516d0a617867

Observation 8d63bbfc-d604-41cd-8e16-63ee107b4676 · outbound

This paper cites Ghosh, N.

State $k$-designs from Hamiltonian evolution Ghosh, N

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:46.282403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:46.282403Z digest=sha256:d40ddad95aa000944eeb805bd1177d8a61b44f82ac539d28328a68edc186cebb

Observation f5c6b8b6-5e95-4714-ab0c-eee9c392a22f · outbound

This paper cites an unresolved cited work.

State $k$-designs from Hamiltonian evolution Unresolved cited work

Reference 18

Resolution
verified exact
doi, observed 2026-08-01T15:24:12.150335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-01T15:18:46.398275Z digest=sha256:bcc8b53ec9c7b24c782b6555a81956b46ff7942cf3be9d5c25e5f2531fea7e37

Observation 8ceb5e84-9eab-4a45-8947-61c5970b2bf6 · outbound

This paper cites Three Hamiltonians are Sufficient for Unitary $k$-Design in Temporal Ensemble.

State $k$-designs from Hamiltonian evolution Three Hamiltonians are Sufficient for Unitary $k$-Design in Temporal Ensemble

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:46.538681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:46.538681Z digest=sha256:1b44b4d7c604d323afc98cfd05bf6b26118ea738c2055711dac6a45db62286c7

Observation 01acd249-e87f-4a1f-9ecc-e3fd60442391 · outbound

This paper cites Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation.

State $k$-designs from Hamiltonian evolution Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:46.654803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:46.654803Z digest=sha256:7cf09b6bc941d1baa77ffdfdd483e8c811ffaeec05ce40ae8c1f9d19c57f4129

Observation 617125ab-62e5-4399-a04c-6e8de697a7b7 · outbound

This paper cites an unresolved cited work.

State $k$-designs from Hamiltonian evolution Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:46.743802Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:46.743802Z digest=sha256:9215061ca4741341e4fbd61daffebf80f9062c74e60db2e14325ec7f446f6036

Observation 1e05b091-c505-4459-9abc-07bc2f0f4968 · outbound

This paper cites Riddell, N.

State $k$-designs from Hamiltonian evolution Riddell, N

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:46.815284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:46.815284Z digest=sha256:60e965691121243052a1ab0ad8c2e449b59b710507e674001b8205cbb9c6f252

Observation 6a18eea9-0594-48c2-9454-e0366d0a347e · outbound

This paper cites Instability of localization in translation-invariant systems.

State $k$-designs from Hamiltonian evolution Instability of localization in translation-invariant systems

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:46.931178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:46.931178Z digest=sha256:f2f700912e69fde4ba4769d0492757a8d8a1d0d9be2a40a3e088335291b1dfaf

Observation bd7be1a3-9488-4308-a4d5-d07cbf75edaf · outbound

This paper cites Nakata, M.

State $k$-designs from Hamiltonian evolution Nakata, M

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:47.075250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:47.075250Z digest=sha256:faa693b8611214d68f805b30d43983ed36f22ff142e37315497b9c697093b4f2

Observation c14516b5-67ff-402b-8de8-6fb32afcef17 · outbound

This paper cites an unresolved cited work.

State $k$-designs from Hamiltonian evolution Unresolved cited work

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:47.190843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:47.190843Z digest=sha256:408189ebbd94fbcdeee848b36e0cd8133a9ca091dd2fe71169ce482bf9973608

Observation 2c3dac8d-2909-439e-bbe9-7867b3d48607 · outbound

This paper cites See SM for more details.

State $k$-designs from Hamiltonian evolution See SM for more details

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:47.384546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:47.384546Z digest=sha256:05e6f827234ac3e209bd21791fbcba75f9ae804991b0d98b9c82a9861c48984f

Observation df9ea92c-1d05-4d7c-9af7-8337f4da914a · outbound

This paper cites Srednicki, Phys.

State $k$-designs from Hamiltonian evolution Srednicki, Phys

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:47.595401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:47.595401Z digest=sha256:f2900f7463cbbade7444a4fa583ad40e9a720260af026603e8e3f2400da315eb

Observation a9029dba-2bbf-4394-ad1a-4d7abccfc392 · outbound

This paper cites Rigol, V.

State $k$-designs from Hamiltonian evolution Rigol, V

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:47.745293Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:47.745293Z digest=sha256:1753f9bfedc08301cc4761ce8b27cdd3c84da97af8fe4430625ce2134415228e

Observation fac7203e-2c67-4f69-a304-81e2b86420d4 · outbound

This paper cites D’Alessio, Y.

State $k$-designs from Hamiltonian evolution D’Alessio, Y

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:47.892969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:47.892969Z digest=sha256:cbd6bf473fa81117430d8bff3f8d2ed617fe0fa1b62b5ef36ee789847032c8be

Observation 28dd6322-ee95-444e-be7a-ca4105d92497 · outbound

This paper cites an unresolved cited work.

State $k$-designs from Hamiltonian evolution Unresolved cited work

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:48.062808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:48.062808Z digest=sha256:bf0a0d9205047927ad012272052abc70195220aba30b77c17a06bcf392e820e1

Observation 7e6cc504-92ce-43e0-853c-45e35de347b1 · outbound

This paper cites Introduction to Haar Measure Tools in Quantum Information: A Beginner's Tutorial.

State $k$-designs from Hamiltonian evolution Introduction to Haar Measure Tools in Quantum Information: A Beginner's Tutorial

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:48.198531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:48.198531Z digest=sha256:f1c88fd02974f55b3f1379ff8b5dfac151e284ba6618dd487f0abd50adcd0906

Observation 296592b7-9643-4c37-b30d-778dbab90489 · outbound

This paper cites Kim and D.

State $k$-designs from Hamiltonian evolution Kim and D

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:48.359950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:48.359950Z digest=sha256:b4dfb727a858ba1c0aa4bbed6307e6290acb3429e2a0e6297349ad888c7a9b72

Observation e2e38e72-0f84-45bb-9fb5-658da18ac03c · outbound

This paper cites an unresolved cited work.

State $k$-designs from Hamiltonian evolution Unresolved cited work

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:48.503094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:48.503094Z digest=sha256:2050a110fb7a0c8ffad864d527440d93ded500e996c02b561a85bf7987c1cfa4

Observation f8d1afb3-8d69-452d-80a7-a88efde3f217 · outbound

This paper cites an unresolved cited work.

State $k$-designs from Hamiltonian evolution Unresolved cited work

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:48.659502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:48.659502Z digest=sha256:42496ce07556d807e042d653308110e0b4d53851934ec32913d1b9498dfcb564

Observation 1db9cc04-36c3-4e6c-8549-aac571c1b4bc · outbound

This paper cites Cotler, N.

State $k$-designs from Hamiltonian evolution Cotler, N

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:48.819650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:48.819650Z digest=sha256:12bf1f2cbcf05e9f84b9c2ffa8ea30a34143901d71724fabdd8ab42dbff80590

Observation 5a628309-f83e-4a37-835e-832a2c177e48 · outbound

This paper cites Introduction to the Random Matrix Theory: Gaussian Unitary Ensemble and Beyond.

State $k$-designs from Hamiltonian evolution Introduction to the Random Matrix Theory: Gaussian Unitary Ensemble and Beyond

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:48.961910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:48.961910Z digest=sha256:37a17023ddc1bd3ef1445200140f91ed2825cb044018ade1e7b04a327e705371

Observation c2b3fc17-2cdf-4188-aa7b-a58ad8b36905 · outbound

This paper cites Zhang, S.

State $k$-designs from Hamiltonian evolution Zhang, S

Reference 37

Resolution
malformed identifier
doi_truncated, observed 2026-08-01T15:24:11.190941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-01T15:18:49.116084Z digest=sha256:05fff9df920ed257672e91b2a0876240b7009f6116d4f57cf37d952b982ce6d4

Observation 8806ca7a-bd91-45cd-a680-800564736605 · outbound

This paper cites Gross, S.

State $k$-designs from Hamiltonian evolution Gross, S

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:49.282865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:49.282865Z digest=sha256:15b76201791de1e5861166204fd1fa434e0320ba881643520853f113bcba6784

Observation 86bbfca6-28eb-4ef2-b6ed-6a9071ffa42a · outbound

This paper cites A complete theory of the Clifford commutant.

State $k$-designs from Hamiltonian evolution A complete theory of the Clifford commutant

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:49.403030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:49.403030Z digest=sha256:597c61185623afb5f21b0ccedc94f0d9a8f0d369110afaa356d098af312b4454

Observation 38a3591d-616a-4fa9-9839-b099a2ef6387 · outbound

This paper cites Analysis of Boolean Functions.

State $k$-designs from Hamiltonian evolution Analysis of Boolean Functions

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:49.530291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:49.530291Z digest=sha256:1cdddf82ff2018ffa74481f4c0f43817109b434e668455a26915a106a5b1efd3

Observation 2d114d68-c0ef-479b-8a12-bc91d62a4d9c · outbound

This paper cites LetP={B 1,· · ·, Bl}be a partition withl=|P|blocks.

State $k$-designs from Hamiltonian evolution LetP={B 1,· · ·, Bl}be a partition withl=|P|blocks

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:49.584386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:49.584386Z digest=sha256:7e3bbb5e7c22bee2124365057117473250d516b62fd9790fd397b0cac1de03ef

Observation 5653a72e-dd48-43a3-a801-da5511d81da2 · outbound

This paper cites MP =M(⃗ n, ⃗ n′) = E |ψ⟩,|ϕ⟩∼E ′ X π,σ∈S 2k Wg(π−1σ, D)tr[VD(σ−1)(|ϕ⟩ ⟨ϕ|⊗k ⊗ |ψ⟩ ⟨ψ|⊗k)]⟨⃗ n, ⃗ n′|V D(π)|⃗ n′, ⃗ n⟩,(S55) Here we introduce some notation.

State $k$-designs from Hamiltonian evolution MP =M(⃗ n, ⃗ n′) = E |ψ⟩,|ϕ⟩∼E ′ X π,σ∈S 2k Wg(π−1σ, D)tr[VD(σ−1)(|ϕ⟩ ⟨ϕ|⊗k ⊗ |ψ⟩ ⟨ψ|⊗k)]⟨⃗ n, ⃗ n′|V D(π)|⃗ n′, ⃗ n⟩,(S55) Here we introduce some notation

Reference 42

Resolution
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no resolver link, observed 2026-08-01T15:18:49.698391Z

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source=pdf_text observed=2026-08-01T15:18:49.698391Z digest=sha256:6badd70ed1c27f4a688f2a34b98adf5801054ae662c0f1403fdce7a9a4894d3e

Pith citing papers

Observation 71dfb1e7-c972-4267-8965-1785be140cfc · inbound

Unitary $k$-designs without Hamiltonian quenches cites this paper.

Unitary $k$-designs without Hamiltonian quenches State $k$-designs from Hamiltonian evolution

Reference 45

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no resolver link, observed 2026-08-01T09:51:15.091962Z

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source=pdf_text observed=2026-08-01T09:51:15.091962Z digest=sha256:0b53cc14e583bd5eaab218e99c3408629fd412119161f9141a220eab4100073f