Paper Citation Record · LEDGER

Ambient unitaries don't enable shallow group designs

As of 15 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2608.13528.

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

pith.paper-citation-record.v1
2608.13528 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:14:10.333356Z

measured 43 of 43 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

verified exact5
verified fuzzy9
unresolved23
parse uncertain0
malformed identifier6
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 80ce5687-0b04-4771-b97c-89b48fdfdd89 · outbound

This paper cites Random unitaries in extremely low depth,.

Ambient unitaries don't enable shallow group designs Random unitaries in extremely low depth,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.169274Z

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Unavailable: canonical work link unavailable.

Observation cee41bfc-3d32-44df-89fc-7ca5ca3afa24 · outbound

This paper cites Unitary designs in nearly optimal depth.

Ambient unitaries don't enable shallow group designs Unitary designs in nearly optimal depth

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.174197Z

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Unavailable: canonical work link unavailable.

Observation f336e588-0fd3-442e-afa1-fa60cb679ab0 · outbound

This paper cites Approximate unitaryk-designs from shallow, low-communication circuits,.

Ambient unitaries don't enable shallow group designs Approximate unitaryk-designs from shallow, low-communication circuits,

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.178556Z

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Unavailable: canonical work link unavailable.

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

This paper cites No-go theorems for sublinear-depth group designs.

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

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Observation 1d945947-f4ba-499c-a91f-850ba90b64a5 · outbound

This paper cites Will it glue? on short-depth designs beyond the unitary group,.

Ambient unitaries don't enable shallow group designs Will it glue? on short-depth designs beyond the unitary group,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.187916Z

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Unavailable: canonical work link unavailable.

Observation d6136e15-b822-4997-82fc-2d444680f918 · outbound

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

Ambient unitaries don't enable shallow group designs Local random quantum circuits are approximate polynomial-designs,

Reference 6

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T05:14:11.109878Z

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.

Observation b3eeccf5-cff9-4da0-9cbb-79d5f45a3cf8 · outbound

This paper cites Random quantum circuits are approximate unitaryt-designs in depthO nt5+o(1) ,.

Ambient unitaries don't enable shallow group designs Random quantum circuits are approximate unitaryt-designs in depthO nt5+o(1) ,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.195760Z

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Unavailable: canonical work link unavailable.

Observation d6600ae0-0bbc-4a10-915d-6c96bdc2ae11 · outbound

This paper cites How to Construct Random Unitaries.

Ambient unitaries don't enable shallow group designs How to Construct Random Unitaries

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.199428Z

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Observation afa03bae-4778-47a6-a9c7-1469d0a7c421 · outbound

This paper cites Exact and approximate unitary 2-designs and their application to fidelity estimation,.

Ambient unitaries don't enable shallow group designs Exact and approximate unitary 2-designs and their application to fidelity estimation,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.203246Z

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Unavailable: canonical work link unavailable.

Observation bc97f455-f0e3-4de4-a8fd-f298a6c8354f · outbound

This paper cites Random quantum circuits are approximate 2-designs,.

Ambient unitaries don't enable shallow group designs Random quantum circuits are approximate 2-designs,

Reference 10

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T05:14:11.097104Z

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.

Observation f8839ea2-a933-4bad-9d9c-dd3e2fbbbcca · outbound

This paper cites Incompressibility and spectral gaps of random circuits.

Ambient unitaries don't enable shallow group designs Incompressibility and spectral gaps of random circuits

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.210690Z

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Observation c11482c8-34e1-4423-8fca-ff2d772255fb · outbound

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

Ambient unitaries don't enable shallow group designs Evenly distributed unitaries: On the structure of unitary designs,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.214814Z

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Unavailable: canonical work link unavailable.

Observation 5ff6c633-5593-452e-963d-ea69f60b1768 · outbound

This paper cites Short remarks on shallow unitary circuits,.

Ambient unitaries don't enable shallow group designs Short remarks on shallow unitary circuits,

Reference 13

Resolution: verified exact; raw_fallback, observed 2026-08-14T05:14:10.737463Z

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

Observation 57a31ead-5b8a-4be7-a901-37799a3dd9f3 · outbound

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

Ambient unitaries don't enable shallow group designs Black holes as mirrors: quantum information in random subsystems,

Reference 14

Resolution: verified exact; doi, observed 2026-08-14T05:14:10.442766Z

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

Observation e8bc7bb0-7981-4941-a319-2b86bd18406c · outbound

This paper cites Fast scramblers,.

Ambient unitaries don't enable shallow group designs Fast scramblers,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:14:11.085072Z

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

Observation 9c8b0d4e-b865-452a-adc7-5576d3099861 · outbound

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

Ambient unitaries don't enable shallow group designs The clifford group forms a unitary 3-design,

Reference 16

Resolution: verified exact; doi, observed 2026-08-14T05:14:10.421547Z

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.

Observation 1e801743-4e44-4cc8-aecb-812063604103 · outbound

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

Ambient unitaries don't enable shallow group designs Multiqubit clifford groups are unitary 3-designs,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:14:11.072662Z

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

Observation 960eab39-83f0-403a-ad49-40605a92ecdf · outbound

This paper cites Estimating the fidelity oftgates using standard interleaved randomized benchmarking,.

Ambient unitaries don't enable shallow group designs Estimating the fidelity oftgates using standard interleaved randomized benchmarking,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:14:11.060365Z

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.

Observation 1b05d3f4-e991-4c6d-b5d9-fd4759ba9072 · outbound

This paper cites Introduction to haar measure tools in quantum information: A beginner’s tutorial,.

Ambient unitaries don't enable shallow group designs Introduction to haar measure tools in quantum information: A beginner’s tutorial,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:14:11.048018Z

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.

Observation a2fcc80a-613d-4dc0-9e7e-43e76c2d9d3d · outbound

This paper cites Computing the distance between quantum channels: usefulness of the fano representation,.

Ambient unitaries don't enable shallow group designs Computing the distance between quantum channels: usefulness of the fano representation,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:14:11.035370Z

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

Observation ab42fd43-c9f2-4297-a250-87b8b2ca9c34 · outbound

This paper cites Chaos and complexity by design,.

Ambient unitaries don't enable shallow group designs Chaos and complexity by design,

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.256387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb777738-1ab3-43c8-a45b-56f851dc2421 · outbound

This paper cites Operator spreading in random unitary circuits,.

Ambient unitaries don't enable shallow group designs Operator spreading in random unitary circuits,

Reference 22

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T05:14:11.023099Z

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

Observation 591cdd2f-58d7-4548-be40-84ce075137dc · outbound

This paper cites Fermionic Linear Optics and Matchgates.

Ambient unitaries don't enable shallow group designs Fermionic Linear Optics and Matchgates

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.263412Z

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Observation e0ef89e0-eb79-420d-b49f-7231bff26849 · outbound

This paper cites Optimal Haar random fermionic linear optics circuits.

Ambient unitaries don't enable shallow group designs Optimal Haar random fermionic linear optics circuits

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.267311Z

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Unavailable: canonical work link unavailable.

Observation 651934b8-ee06-407d-8164-2fbf060ab0d4 · outbound

This paper cites Integration with respect to the haar measure on unitary, orthogonal and symplectic group,.

Ambient unitaries don't enable shallow group designs Integration with respect to the haar measure on unitary, orthogonal and symplectic group,

Reference 25

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T05:14:11.010481Z

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

Observation 92559fe1-776b-4522-892a-4a0dc81f5bbd · outbound

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

Ambient unitaries don't enable shallow group designs The Clifford group fails gracefully to be a unitary 4-design

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.274843Z

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Observation 2030a279-83ed-4b35-af51-933c0a8d898f · outbound

This paper cites A complete theory of the Clifford commutant.

Ambient unitaries don't enable shallow group designs A complete theory of the Clifford commutant

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.278526Z

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Observation c07b719d-bd9a-49ad-bc40-bef466ada735 · outbound

This paper cites Linear depth stabilizer and quantum fourier transformation circuits with no auxiliary qubits in finite-neighbor quantum architectures,.

Ambient unitaries don't enable shallow group designs Linear depth stabilizer and quantum fourier transformation circuits with no auxiliary qubits in finite-neighbor quantum architectures,

Reference 28

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T05:14:10.997189Z

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

Observation 6545c58d-ed86-404d-81b8-0c8c65361eb7 · outbound

This paper cites Matchgate shadows for fermionic quantum simulation,.

Ambient unitaries don't enable shallow group designs Matchgate shadows for fermionic quantum simulation,

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.286239Z

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Observation 0549d7a0-7c4a-4107-9f2d-bfaa928098e4 · outbound

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

Ambient unitaries don't enable shallow group designs From Pauli Strings to Quantum Dynamics: A Unified Characterization

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.289920Z

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Observation 61e351bc-8cbc-491f-af25-76643667699a · outbound

This paper cites Real randomized benchmarking,.

Ambient unitaries don't enable shallow group designs Real randomized benchmarking,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:14:10.981348Z

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.

Observation bfe48ff3-f8e2-4b5d-836a-012ca78b39a8 · outbound

This paper cites Matchgate benchmarking: Scalable benchmarking of a continuous family of many-qubit gates,.

Ambient unitaries don't enable shallow group designs Matchgate benchmarking: Scalable benchmarking of a continuous family of many-qubit gates,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:14:10.968534Z

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.

Observation bf50a956-0f69-4836-a327-b7be1eccb29d · outbound

This paper cites Fermionic Averaged Circuit Eigenvalue Sampling,.

Ambient unitaries don't enable shallow group designs Fermionic Averaged Circuit Eigenvalue Sampling,

Reference 33

Resolution: verified exact; doi, observed 2026-08-14T05:14:10.377733Z

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.

Observation 016b1df9-97f7-493c-a904-1b129b20a24e · outbound

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

Ambient unitaries don't enable shallow group designs Particle-preserving fermionic shadows with mode-independent sample complexity

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.304553Z

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Observation b10af72e-e89d-40fd-a22d-11e4722e07a1 · outbound

This paper cites Fermionic partial tomography via classical shadows,.

Ambient unitaries don't enable shallow group designs Fermionic partial tomography via classical shadows,

Reference 35

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T05:14:10.955758Z

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.

Observation 7f892482-d23d-4948-ac54-46ce5e096c12 · outbound

This paper cites Unified framework for matchgate classical shadows,.

Ambient unitaries don't enable shallow group designs Unified framework for matchgate classical shadows,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:14:10.942035Z

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.

Observation b377c876-b7c7-4efb-a628-d60809da77ef · outbound

This paper cites Real classical shadows,.

Ambient unitaries don't enable shallow group designs Real classical shadows,

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.322471Z

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Unavailable: canonical work link unavailable.

Observation bfaa675b-7950-448a-896c-07ff51989689 · outbound

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

Ambient unitaries don't enable shallow group designs Classical shadows of fermions with particle number symmetry

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.325997Z

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Observation f4c51276-072c-466e-82bb-ae7b7dfc5289 · outbound

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

Ambient unitaries don't enable shallow group designs Random ensembles of symplectic and unitary states are indistinguishable

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.329452Z

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Observation 8f326665-e591-4141-90a7-8a80c05c8dbc · outbound

This paper cites Predicting many properties of a quantum system from very few measurements,.

Ambient unitaries don't enable shallow group designs Predicting many properties of a quantum system from very few measurements,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:14:10.928955Z

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

Observation ef525c1b-858a-4d0e-90f2-ab5b6f9e8ea5 · outbound

This paper cites Available: https://iopscience.iop.org/article/10.1088/1126-6708/2008/10/065.

Ambient unitaries don't enable shallow group designs Available: https://iopscience.iop.org/article/10.1088/1126-6708/2008/10/065

Reference 2008

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.230065Z

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Observation 7e74800a-2afd-43b7-883b-c6830d10e421 · outbound

This paper cites Available: https://iopscience.iop.org/article/10.1088/0953-4075/43/21/215508.

Ambient unitaries don't enable shallow group designs Available: https://iopscience.iop.org/article/10.1088/0953-4075/43/21/215508

Reference 2010

Resolution: verified exact; doi, observed 2026-08-14T05:14:10.408410Z

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.

Observation 98060476-52ae-4671-89e3-facc087b01ec · outbound

This paper cites Available: https://arxiv.org/abs/2604.01429.

Ambient unitaries don't enable shallow group designs Available: https://arxiv.org/abs/2604.01429

Reference 2026

Resolution: unresolved; no resolver link, observed 2026-08-14T05:14:10.315500Z

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Pith citing papers

No inbound Pith citation observations are available.