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Paper Citation Record · LEDGER

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation

As of 11 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 6 inbound Pith citation observations for arXiv:2604.10122.

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

pith.paper-citation-record.v1
2604.10122 v1

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T16:35:22.534121Z

measured 69 of 69 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 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T02:00:05.339665Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-01T09:45:39.465133Z

Reference resolution

63 of 63 outbound references displayed

  • verified exact48
  • verified fuzzy8
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e79531c5-dff8-43e2-b378-8fc234cf210f · outbound

This paper cites Fast Scramblers.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Fast Scramblers

Reference 1

Resolution
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arxiv_id, observed 2026-05-11T08:30:58.418796Z

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:a1ea44f992171629a400b6a5606c9c0f73fa6ac96ae53138a6207fe9bb1849a9

Observation 8cc95fdb-e214-4e9e-bc60-06e83638cfee · outbound

This paper cites Black holes as mirrors: quantum information in random subsystems.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Black holes as mirrors: quantum information in random subsystems

Reference 2

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arxiv_id, observed 2026-05-11T08:30:58.471941Z

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:8b2a0b93f4ccd0c291468dce445614d392d8119077ce1cca6299dfa742e261f4

Observation c16f543d-f62e-4fb4-8c39-a85afd165ae8 · outbound

This paper cites Kitaev, talk given at fundamental physics prize sym- posium (2014).

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Kitaev, talk given at fundamental physics prize sym- posium (2014)

Reference 3

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raw_fallback, observed 2026-05-17T14:34:47.147359Z

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:579043b50a5797fde22d3a7f388784e577abeeb0844d1934be3997d7a4aa3e6a

Observation dcb819d2-0375-4ad0-bb0e-8eee9a7dc351 · outbound

This paper cites Black holes and the butterfly effect.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Black holes and the butterfly effect

Reference 4

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arxiv_id, observed 2026-05-11T08:30:58.476163Z

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:68760d14300f4cf7a8c2771ff65dca5b361dda277d56f240f030a7e6a11354d1

Observation 1ea2d285-c7de-4a07-8042-28d9b632b9e4 · outbound

This paper cites Stringy effects in scrambling.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Stringy effects in scrambling

Reference 5

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arxiv_id, observed 2026-05-11T08:30:58.452147Z

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:6cbd88adefe0f9a1246d2e9bfdcc261b859870ad02c7147e31dc5e5e0ff1fca6

Observation 001af440-eb5c-4974-a38a-4ad04028ca9f · outbound

This paper cites A bound on chaos.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation A bound on chaos

Reference 6

Resolution
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arxiv_id, observed 2026-05-11T08:30:58.465048Z

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:86ef3bdc4415f0c5696e4955dd66977825b7ba24c2741bd83cf29911843c3673

Observation 7fc24bf4-4495-40a1-9333-aeeaa151a5db · outbound

This paper cites Localized shocks.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Localized shocks

Reference 7

Resolution
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arxiv_id, observed 2026-05-11T08:30:58.440238Z

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:691d0c96d27005438663426d063e24231811428fa7e8c32070def2e0d465f4c6

Observation 8888c4b8-1e09-478b-a345-686e7c11fd97 · outbound

This paper cites an unresolved cited work.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Unresolved cited work

Reference 8

Resolution
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arxiv_id, observed 2026-05-11T08:30:58.429086Z

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=2026-05-10T16:35:22.534121Z digest=sha256:679789cb83e939ecc0aabb767ca22a5adcf1cd98327ccd0bc7aae94e9732386d

Observation d09c9ffe-4ccc-4950-adb4-9bcbe81acee5 · outbound

This paper cites an unresolved cited work.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Unresolved cited work

Reference 9

Resolution
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raw_fallback, observed 2026-05-17T14:34:47.153034Z

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=2026-05-10T16:35:22.534121Z digest=sha256:a08419f74fb5a5cac1e84a3c699852bda5a0b3ba9ebd9a4da74912ad61a517c4

Observation 87b92b79-f418-4ba9-87b7-4bc7aa992abe · outbound

This paper cites Quantum thermalization through entanglement in an isolated many-body system.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Quantum thermalization through entanglement in an isolated many-body system

Reference 10

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arxiv_id, observed 2026-05-11T08:30:58.468519Z

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:983bac4422ee7ecc27eb93e6ff774d00dbfd263e1ab1736c72f72cf7d648bbbc

Observation a8e94d86-9355-47fd-a60d-746e4bd84791 · outbound

This paper cites Quantum Data Hiding.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Quantum Data Hiding

Reference 11

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arxiv_id, observed 2026-07-04T21:34:00.081269Z

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:d0cdb31de03f772fd357633ecdbda4c3b99ac09b53606b27b2e170227a41ef6c

Observation f62829b9-73f0-4a4a-9754-1d14e55c287c · outbound

This paper cites Dankert, R.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Dankert, R

Reference 12

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:cb107205a5cb2402fdd428519844321dd2fbc3aab02998c18f0393724f5c1376

Observation ffcb5f2c-c455-44d0-a028-159d3c111bfa · outbound

This paper cites Ambainis and J.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Ambainis and J

Reference 13

Resolution
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arxiv_id, observed 2026-05-11T08:30:58.437146Z

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=2026-05-10T16:35:22.534121Z digest=sha256:73c92798fe8d44b6e9ba6c98be1887ba7066e35971356e34d0d68616c1128689

Observation 24376688-477c-4944-b081-ae8375319cbd · outbound

This paper cites Convergence Conditions for Random Quantum Circuits.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Convergence Conditions for Random Quantum Circuits

Reference 14

Resolution
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arxiv_id, observed 2026-07-04T16:57:32.006534Z

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=2026-05-10T16:35:22.534121Z digest=sha256:a53a270cefdc1cad78c5c191d7c06befeda490317eaecbf4b00a133f16185e22

Observation 03212c4a-6bdc-4af8-8c5f-e28e3e4ed2c0 · outbound

This paper cites Optimizing quantum process tomography with unitary 2-designs.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Optimizing quantum process tomography with unitary 2-designs

Reference 15

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arxiv_id, observed 2026-05-11T08:30:58.542502Z

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=2026-05-10T16:35:22.534121Z digest=sha256:0766c3dc1f28e3efd2078e82b59deb1ac45d55463f923671a02f7555674ae3ca

Observation e3961334-9cdf-43f2-a12a-b95f9e85219b · outbound

This paper cites Chaos and complexity by design.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Chaos and complexity by design

Reference 16

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arxiv_id, observed 2026-05-11T08:30:58.525104Z

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:09fa1c860fc9381e33f530211091b77aca6d8af5dfdeb1f4dd056c87d035b5a3

Observation e24d6979-b613-47a7-9e3d-d0c709dd6a9e · outbound

This paper cites Chaos, Complexity, and Random Matrices.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Chaos, Complexity, and Random Matrices

Reference 17

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arxiv_id, observed 2026-05-11T08:30:58.640306Z

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:6e9aaa6058429a59ba6b89a4188a0d2e4d260f0286e326edb38d19cb8a1b78e6

Observation 1627c31c-c903-487d-993b-c126e248a09d · outbound

This paper cites The Clifford group forms a unitary 3-design.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation The Clifford group forms a unitary 3-design

Reference 18

Resolution
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arxiv_id, observed 2026-05-11T08:30:58.510799Z

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=2026-05-10T16:35:22.534121Z digest=sha256:05737f90e38940bd78842e185a7554a11143edb7988e4a0d7ea47baba786df22

Observation 1ee5dd71-1f15-4bcc-9c28-96d145293767 · outbound

This paper cites Zhu, Multiqubit clifford groups are unitary 3-designs, Phys.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Zhu, Multiqubit clifford groups are unitary 3-designs, Phys

Reference 19

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:f9b8b60d987704a3b2c876a7d4eab41a0cc5de1ca9db92960e950cb7d15693c2

Observation a7a95c73-177f-404c-ae40-0bae4e5d5dc5 · outbound

This paper cites an unresolved cited work.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Unresolved cited work

Reference 20

Resolution
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raw_fallback, observed 2026-05-17T14:34:47.112781Z

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=2026-05-10T16:35:22.534121Z digest=sha256:c29b5b67bcbc7feabef2dad1a9a2e3a77669d3f207d23b186cfefc81e1730895

Observation 774e4918-5ee2-4645-bba9-dd67eadf981e · outbound

This paper cites Constructive interference at the edge of quantum ergodic dynamics.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Constructive interference at the edge of quantum ergodic dynamics

Reference 21

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arxiv_id, observed 2026-05-11T08:30:58.549473Z

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:ca54904ad052d34eb5a9af23e098658f6205ee82e0a2da1f85698dc017245fb0

Observation a1928885-02e1-46ea-8eec-d891e3aa35e1 · outbound

This paper cites Vardhan and J.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Vardhan and J

Reference 22

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arxiv_id, observed 2026-05-11T08:30:58.677999Z

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:43af07bf26e4c06252b1e6208f9c35973f82c651dd01d69e19cddd1256021adc

Observation 34986a0f-762b-4d32-bf73-176641a9b279 · outbound

This paper cites Guo, Thermalization and irreversibility of an iso- lated quantum system (2025), arXiv:2503.04152 [quant- ph].

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Guo, Thermalization and irreversibility of an iso- lated quantum system (2025), arXiv:2503.04152 [quant- ph]

Reference 23

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arxiv_id, observed 2026-05-11T08:30:58.506875Z

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:a9f69df5cbe3f5af3c9a075bf05cd4830498ad24d81ef1a2cd10b6c9f5b42fac

Observation 6262c325-643e-4af2-b268-2481491cbd26 · outbound

This paper cites Liu and P.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Liu and P

Reference 24

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arxiv_id, observed 2026-05-11T08:30:58.545833Z

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=2026-05-10T16:35:22.534121Z digest=sha256:d3f2c9e6a0b646d2df8716241bebe19b597d20dee5a27b3090579354a2ba6663

Observation 6f5fe579-775a-4364-ae85-3465425e3b2a · outbound

This paper cites Measuring operator size growth in quantum quench experiments.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Measuring operator size growth in quantum quench experiments

Reference 25

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arxiv_id, observed 2026-05-11T08:30:58.600553Z

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=2026-05-10T16:35:22.534121Z digest=sha256:f12954c32e463e9b30638ffcc85e1f6409bab6fe4fbbc2e5aea6f436ec98d3ac

Observation bb6dc494-d201-4bc7-9eca-8b6bb160291b · outbound

This paper cites Predicting Many Properties of a Quantum System from Very Few Measurements.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Predicting Many Properties of a Quantum System from Very Few Measurements

Reference 26

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arxiv_id, observed 2026-05-11T08:30:58.558063Z

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

source=pdf_text observed=2026-05-10T16:35:22.534121Z digest=sha256:f1f397d9f689e740bf04713485365b4c7dfa9e6a1bfbfb7cc490f9095e037e7e

Observation 0493ac70-bb46-4a82-83ef-e25113efde99 · outbound

This paper cites The randomized measurement toolbox.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation The randomized measurement toolbox

Reference 27

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arxiv_id, observed 2026-05-11T08:30:58.563326Z

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=2026-05-10T16:35:22.534121Z digest=sha256:448608647ca5fd3e925acbd064824e0c968df80dbf21182bc8f2c39cb2b2823e

Observation c42ffa0e-262c-49ba-af54-fe9dce9358cf · outbound

This paper cites Arute, K.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Arute, K

Reference 28

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raw_fallback, observed 2026-05-17T14:34:47.116040Z

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=2026-05-10T16:35:22.534121Z digest=sha256:fc82f43e551df1c2e56911cbc80018c09c931213e890753e299604718a08e507

Observation 71018c08-0d2f-493a-84c8-d75193e37f88 · outbound

This paper cites Zhong, H.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Zhong, H

Reference 29

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raw_fallback, observed 2026-05-17T14:34:47.127559Z

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=2026-05-10T16:35:22.534121Z digest=sha256:5567c76c69c4ccb927210c6293b511d24c3dd4cff44847186563f2bcfc634b84

Observation dc63ae14-ef16-4c98-9c3a-b1adbc429d1f · outbound

This paper cites an unresolved cited work.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Unresolved cited work

Reference 30

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raw_fallback, observed 2026-05-17T14:34:47.121920Z

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=2026-05-10T16:35:22.534121Z digest=sha256:fa71bddcd0efc1f7426b378f11201aee309ac73e98bdf6e0cde4ae20e0224279

Observation e3fe1e9a-56e2-46eb-8b25-1f064efaec97 · outbound

This paper cites Random Quantum Circuits and Pseudo-Random Operators: Theory and Applications.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Random Quantum Circuits and Pseudo-Random Operators: Theory and Applications

Reference 31

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arxiv_id, observed 2026-07-04T16:50:25.966950Z

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=2026-05-10T16:35:22.534121Z digest=sha256:97004a4a44964a35807fe6ebe5ebe1d4d5a3c22ee00356ce5e60bc469edf3a96

Observation 448f12ff-ef6a-4a18-a92e-21e9dcafcec3 · outbound

This paper cites Dankert, Efficient Simulation of Random Quantum States and Operators , Other thesis (2005), arXiv:quant- 6 ph/0512217.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Dankert, Efficient Simulation of Random Quantum States and Operators , Other thesis (2005), arXiv:quant- 6 ph/0512217

Reference 32

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arxiv_id, observed 2026-05-11T08:30:58.491622Z

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=2026-05-10T16:35:22.534121Z digest=sha256:f80111d4ede4796fc8c165511d70a66cb5a1e36fdfcc99268c7de51426e066a8

Observation ed3c3042-8f74-4099-b65f-be891d11df9d · outbound

This paper cites Evenly distributed unitaries: on the structure of unitary designs.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Evenly distributed unitaries: on the structure of unitary designs

Reference 33

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arxiv_id, observed 2026-05-11T08:30:58.521842Z

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=2026-05-10T16:35:22.534121Z digest=sha256:eee4b9dd894d4698f30b14724cf83c9cb331dd7908ac792831e517b56ba49559

Observation 4f1a49de-974d-47f0-81f2-64ca9b9be8b3 · outbound

This paper cites Unitary designs and codes.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Unitary designs and codes

Reference 34

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arxiv_id, observed 2026-07-04T15:48:34.499694Z

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=2026-05-10T16:35:22.534121Z digest=sha256:be5bcf7a9c64479dba8acddbf00fc3e22ba49100600bb7858b8f0e509e37ec22

Observation 84a461b5-3fbc-4885-8539-b0ae3fbb050b · outbound

This paper cites an unresolved cited work.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Unresolved cited work

Reference 35

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unresolved
raw_fallback, observed 2026-05-17T14:34:47.124684Z

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=2026-05-10T16:35:22.534121Z digest=sha256:fc54ef63f530a433b2c705e327b857c873d810de15ede004fd14930c845cddd9

Observation 936fc3aa-cc50-4c64-98c1-0b97bbda73bb · outbound

This paper cites Local random quantum circuits are approximate polynomial-designs.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Local random quantum circuits are approximate polynomial-designs

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.481270Z

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=2026-05-10T16:35:22.534121Z digest=sha256:df1d009bf529a145ca1a32695cc424f27fb9f68d2ae033ba3a64d5ddae4b158b

Observation 19a4bdd3-ab0f-448d-8081-c2e24826a9d2 · outbound

This paper cites an unresolved cited work.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-05-17T14:34:47.130465Z

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=2026-05-10T16:35:22.534121Z digest=sha256:ca65b4e18ec7d48be46e73d13886e935ee79eb475e6b24dacecdb92df7f614b6

Observation d0609c5e-71ca-4083-9a27-6cbd01983069 · outbound

This paper cites Random unitaries in extremely low depth.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Random unitaries in extremely low depth

Reference 38

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.691550Z

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=2026-05-10T16:35:22.534121Z digest=sha256:4bf0eef4f886df0d30b276c8d92c35cd51361a99a33b94bd5cbae55b93bd90df

Observation 954031a1-51fc-4422-9180-41925ea09732 · outbound

This paper cites Stabilizer Entanglement Enhances Magic Injection.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Stabilizer Entanglement Enhances Magic Injection

Reference 39

Resolution
verified exact
arxiv_id, observed 2026-07-28T01:21:31.493746Z

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=2026-05-10T16:35:22.534121Z digest=sha256:7d47a6d447fbaa7a6b6b4d9fb8a661dc573fcc9ec5a14d206738cc276b191855

Observation 790238bd-5d38-49ba-809c-653fa7508e55 · outbound

This paper cites Zhang, S.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Zhang, S

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.499412Z

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=2026-05-10T16:35:22.534121Z digest=sha256:56574aed4dae5fbc8c2237b9e119186b63582ffc06611982f84afaf6030be113

Observation 2ee8212f-903a-40e3-96cb-121fcc4110b4 · outbound

This paper cites Vermersch, A.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Vermersch, A

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T14:34:47.144384Z

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=2026-05-10T16:35:22.534121Z digest=sha256:88e7ce2974637758a74f622090edc62865482c7c2092e1a9f1f85057227a6fa2

Observation af7b4be5-1add-4c39-91c1-4290c05fe217 · outbound

This paper cites Mixing properties of stochastic quantum Hamiltonians.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Mixing properties of stochastic quantum Hamiltonians

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.626758Z

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=2026-05-10T16:35:22.534121Z digest=sha256:1d125a415473e0559fd5d00fea7060b80d16185df8dbe4d07a18a03e6862e0fe

Observation c51aacbb-9540-4abd-bbfc-166ecb004411 · outbound

This paper cites Linear Growth of Circuit Complexity from Brownian Dynamics.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Linear Growth of Circuit Complexity from Brownian Dynamics

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.484836Z

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=2026-05-10T16:35:22.534121Z digest=sha256:7582c261834419a599abab1afa69d8b31a57b0e88027f0c8113fa49ded07ff40

Observation ac971bdd-71c3-4306-b213-a9ee31b06e3b · outbound

This paper cites Frame potential of Brownian SYK model of Majorana and Dirac fermions.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Frame potential of Brownian SYK model of Majorana and Dirac fermions

Reference 44

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.645591Z

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=2026-05-10T16:35:22.534121Z digest=sha256:c4006c2905beabf8af0d204445a1ae3651d36977b2e8b2699361e34d91ae0bea

Observation cc0e8774-509b-4dae-9463-63fe9ea9ad15 · outbound

This paper cites Complexity is not Enough for Randomness.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Complexity is not Enough for Randomness

Reference 45

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.592848Z

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=2026-05-10T16:35:22.534121Z digest=sha256:8f4e5ef83e5b5a07e7a85a79ada7b2889ad5d44c5e57fde8deac198efee0059b

Observation e30749fa-1c40-4f0e-a053-8dba469874f3 · outbound

This paper cites Realizing Unitary $k$-designs with a Single Quench.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Realizing Unitary $k$-designs with a Single Quench

Reference 46

Resolution
verified exact
arxiv_id, observed 2026-06-08T02:03:47.239132Z

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=2026-05-10T16:35:22.534121Z digest=sha256:ac02ed90d3c3aad560c84b31ac8b03a096d063b6690dc841827ed532404d5f7d

Observation 91258d8a-c7b2-4b4a-9e5f-323b35429d96 · outbound

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

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Three Hamiltonians are Sufficient for Unitary $k$-Design in Temporal Ensemble

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-05-11T08:30:58.649586Z

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=2026-05-10T16:35:22.534121Z digest=sha256:987ed1a28c720d77aa1f65fbce47549cb59fccad2fd11ef9d0db51efea75f1c4

Observation 5ef809c2-c2c8-4046-902b-a2b02687dadc · outbound

This paper cites Lower bounds on the non-Clifford resources for quantum computations.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Lower bounds on the non-Clifford resources for quantum computations

Reference 48

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.569373Z

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=2026-05-10T16:35:22.534121Z digest=sha256:5d072762e0c1522b60e59201eecf00cf21d59b5095264d0d891970533a3cd997

Observation d1f2458a-ffd0-4254-af28-74e399cf9a32 · outbound

This paper cites Pauli Spectrum and Non-stabilizerness of Typical Quantum Many-Body States.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Pauli Spectrum and Non-stabilizerness of Typical Quantum Many-Body States

Reference 49

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.637420Z

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=2026-05-10T16:35:22.534121Z digest=sha256:ccb5caa1f7c827db747518edf48f1202468af104093840ff67a47ee222865e86

Observation ec60e7a4-b36e-4c0c-81da-e9cd0ed4f377 · outbound

This paper cites Bravyi and A.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Bravyi and A

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T14:34:47.133238Z

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=2026-05-10T16:35:22.534121Z digest=sha256:f92cd238fca40e0e072fa8ef2e990a26451c6a40f82e5f51c020ad037bbe32b7

Observation bc4a0be9-0745-473b-8b04-182e2c3c6451 · outbound

This paper cites Bravyi and J.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Bravyi and J

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T14:34:47.135994Z

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=2026-05-10T16:35:22.534121Z digest=sha256:0f68ae08ac4d62147cd1f2de2fe21ed01b5f053c3ed7c1b0262ca1e072f30402

Observation 005147c2-69df-4520-9af6-433997b6886e · outbound

This paper cites Negative Quasi-Probability as a Resource for Quantum Computation.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Negative Quasi-Probability as a Resource for Quantum Computation

Reference 52

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.701678Z

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=2026-05-10T16:35:22.534121Z digest=sha256:e7469746bd043ce874bc27f35b16d13188a2b026215a1703c4051e8b05df546c

Observation 3e5ab4e9-03b8-4a98-8b38-7ef2679b9104 · outbound

This paper cites The Resource Theory of Stabilizer Computation.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation The Resource Theory of Stabilizer Computation

Reference 53

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.608683Z

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=2026-05-10T16:35:22.534121Z digest=sha256:05f84556c89027f543fb2c7a4d6f4f40ec1f31b3b210e02d17edba557f3015f7

Observation feb5a904-8f88-4e62-bcb8-aab81b02df6d · outbound

This paper cites Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model

Reference 54

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.517756Z

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=2026-05-10T16:35:22.534121Z digest=sha256:4621709ee146acc38db2ec1404d9bbe0cf22d0d5374922ce049629f12ecbed8c

Observation d09b4b56-6cbc-4189-b9f9-f77215e5ceeb · outbound

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

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Introduction to the Random Matrix Theory: Gaussian Unitary Ensemble and Beyond

Reference 55

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.683717Z

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=2026-05-10T16:35:22.534121Z digest=sha256:bfc62b008e646acdb8f7828594e0d2fcf834b65f466fc549ae07435d46eb4f4e

Observation d71f7b12-b01d-4f6e-a12d-0565d5a4c1c3 · outbound

This paper cites Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.554836Z

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=2026-05-10T16:35:22.534121Z digest=sha256:aea23c648c7cf2d32d35c0749a0854c466ff9e3c20acafa7d9b228f1986b26f5

Observation 6ca49ac7-1081-4023-9941-bc416ee4942d · outbound

This paper cites Floquet Hamiltonian Engineering of an Isolated Many-Body Spin System.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Floquet Hamiltonian Engineering of an Isolated Many-Body Spin System

Reference 57

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.579862Z

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=2026-05-10T16:35:22.534121Z digest=sha256:abc52149d14f7cf6734f027c9082bfd87b36b0c85c73cf33d69e9ad7a2a4ee20

Observation 8f124c2a-3622-4a9e-be4e-93da56c5c498 · outbound

This paper cites Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet

Reference 58

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.514525Z

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=2026-05-10T16:35:22.534121Z digest=sha256:541c56db908211a5b9386ad9a80fc66a85ab1df7f7abb2cd40516da1dc0ae709

Observation 3560e535-e60c-48a5-a7a6-1bcf9188d19c · outbound

This paper cites Observing emergent hydrodynamics in a long-range quantum magnet.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Observing emergent hydrodynamics in a long-range quantum magnet

Reference 59

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.538881Z

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=2026-05-10T16:35:22.534121Z digest=sha256:7cb54696a4b2a02f7a4a8584c856bcd825275e9b5054c0cbfad01026e5a3bb72

Observation aa9f79c5-147d-46c3-8048-53d6c8b71636 · outbound

This paper cites Emergent hydrodynamics in a strongly interacting dipolar spin ensemble.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Emergent hydrodynamics in a strongly interacting dipolar spin ensemble

Reference 60

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:30:58.630660Z

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=2026-05-10T16:35:22.534121Z digest=sha256:70cf065a83988526f164df8d931903a15218d9af4ae9f1a2cb02dce6b96df0ac

Observation 87e20f5c-0fa2-44df-82db-bf48fca60df7 · outbound

This paper cites Universal Long-time Behavior of Nuclear Spin Decays in a Solid.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Universal Long-time Behavior of Nuclear Spin Decays in a Solid

Reference 61

Resolution
verified exact
arxiv_id, observed 2026-07-04T17:46:44.626516Z

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=2026-05-10T16:35:22.534121Z digest=sha256:80bb2c0b68f8752e59238c157f9d859d1e2d965a8724d476cdb0c05df5aef625

Observation 28d12d3f-6167-4efd-aac1-df6c39e734f7 · outbound

This paper cites an unresolved cited work.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-05-17T14:34:47.138646Z

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=2026-05-10T16:35:22.534121Z digest=sha256:f96d5683fd06c3ac2ae81a8c539d81e8ece1609628733aef3c237e437be3f46c

Observation 9c53d532-3074-4801-80da-a57a38ad66f9 · outbound

This paper cites an unresolved cited work.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-05-17T14:34:47.141560Z

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=2026-05-10T16:35:22.534121Z digest=sha256:a2019fa67739a058550f28f4564c64c0832d5424c7ec39714b5491039c04b14e

Pith citing papers

Observation d98758fa-6305-43ce-8ed0-4d53636955c5 · inbound

Exact Hilbert-space ergodicity from continuous monitoring cites this paper.

Exact Hilbert-space ergodicity from continuous monitoring Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-06-30T13:24:40.730946Z

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=2026-06-30T09:10:22.484692Z digest=sha256:e262b54c84ead6c1cca9c881851c3dbe07a23206c3e6a3e0f4016fbd1c92eaf8

Observation 5c57636f-5e60-4731-a729-c4916872714b · inbound

Exact Hilbert-space ergodicity from continuous monitoring cites this paper.

Exact Hilbert-space ergodicity from continuous monitoring Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-07-01T09:45:39.466376Z

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=2026-07-01T06:21:24.774688Z digest=sha256:ebe0412e0b4aaedb658afc995d2797e3b18b316536dfada477ad64813d278bbb

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

State $k$-designs from Hamiltonian evolution cites this paper.

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 6e0998c9-2537-43c1-a444-b0c46341bafa · inbound

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

Unitary $k$-designs without independent Hamiltonian quenches Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-01T09:51:12.776643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T09:51:12.776643Z digest=sha256:115fc9a16b115022a033ea11f1e783ffca2ab5627916d6a8f1a7c4869f42f058

Observation 13bc455c-0b27-4724-b6b8-df54cad4246d · inbound

Unitary designs from perturbed time evolutions of a chaotic Hamiltonian cites this paper.

Unitary designs from perturbed time evolutions of a chaotic Hamiltonian Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-01T03:41:24.778427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:41:24.778427Z digest=sha256:bce36da714d8ba86d5129f26d49d68e9b0cb922affb5886cd7ff2bf8d00427ec

Observation 51fa4335-0900-4203-8064-076e07f7d3e5 · inbound

Unitary designs from perturbed time evolutions of a chaotic Hamiltonian cites this paper.

Unitary designs from perturbed time evolutions of a chaotic Hamiltonian Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-03T02:00:05.339665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:00:05.339665Z digest=sha256:f69c57212fbacd3cb55f57a38d375d2d56e1cbfe2246c9bce648a83ca16f7e1e