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Paper Citation Record · LEDGER

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap

As of 17 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2607.28521.

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

pith.paper-citation-record.v1
2607.28521 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T04:46:14.714689Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T04:54:40.897072Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

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  • verified fuzzy0
  • unresolved23
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 76be544f-7a20-4cb0-8b3f-e1df771a1db9 · outbound

This paper cites Random unitary circuits with constant spectral gap.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Random unitary circuits with constant spectral gap

Reference 1

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no resolver link, observed 2026-07-31T04:46:12.770500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:12.770500Z digest=sha256:7118c98fb8b7098cc15f3b3c4f43f1b18646991976dd55cfd8661098e90237f6

Observation 2200ed07-c85e-4c1b-830b-21265f281105 · outbound

This paper cites Brand˜ ao, A.W.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Brand˜ ao, A.W

Reference 2

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no resolver link, observed 2026-07-31T04:46:12.899937Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:12.899937Z digest=sha256:d4aa7273c77b56150e1cb2cb60078dbebe3ecc7cdf465d3bd61839cdc08d981b

Observation 58d540c8-fbf7-481d-9d3c-3de2aab82dac · outbound

This paper cites Brown and L.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Brown and L

Reference 3

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no resolver link, observed 2026-07-31T04:46:12.999373Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:12.999373Z digest=sha256:777a30b6d6f53c6d456522f123bbfcf2d70b02d83e9e96cbcdb27e9b28af603d

Observation 456f8d0c-2818-44f2-a2e1-7be40dc6d37c · outbound

This paper cites Caputo, T.M.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Caputo, T.M

Reference 4

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no resolver link, observed 2026-07-31T04:46:13.046204Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:13.046204Z digest=sha256:dca26061e6a3c3891bac27753fbf8418f9b3286cd945ffff1457ae47fc996279

Observation 7f16d80c-4256-408b-b17d-aeab3d928e77 · outbound

This paper cites Dankert, R.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Dankert, R

Reference 5

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no resolver link, observed 2026-07-31T04:46:13.088606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:13.088606Z digest=sha256:10c8392cec0e060e8852768bc6d7999e4374e684ce2281e77e52a8872890fba4

Observation d997ccb5-6f52-4c14-a24c-f030f128be0a · outbound

This paper cites Deneris, P.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Deneris, P

Reference 6

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unresolved
no resolver link, observed 2026-07-31T04:46:13.175719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:13.175719Z digest=sha256:e20d4d3c3b177e0d226c679e195cde79252b1585d1e70c95c4ec05d52ff3bd71

Observation 5123f3ec-23b9-4381-8a03-66bb481674f3 · outbound

This paper cites Random Quantum Circuits are Approximate 2-designs.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Random Quantum Circuits are Approximate 2-designs

Reference 7

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unresolved
no resolver link, observed 2026-07-31T04:46:13.256418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:13.256418Z digest=sha256:d7af5e82fb843699f3a5910fdbf81cfb236e4f1a8278691ba0c1c090860f256a

Observation f20497d8-24b9-43c5-92e9-2101f59fce21 · outbound

This paper cites Fulton and J.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Fulton and J

Reference 8

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no resolver link, observed 2026-07-31T04:46:13.343335Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:13.343335Z digest=sha256:b69de29b11564cd30e9eeef916d3ee70563b52bbe13d3c1a7fdea3c198a2b7a1

Observation 1f31680b-b820-4c2a-ab0c-1a620de28913 · outbound

This paper cites Goodman and N.R.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Goodman and N.R

Reference 9

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unresolved
no resolver link, observed 2026-07-31T04:46:13.406432Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:13.406432Z digest=sha256:ea407699da6cb936306ec4f40ac2aff6542823257a6c82894f998f65672e87fe

Observation aac84563-0e74-4fa3-b25e-058cf02d8e5f · outbound

This paper cites Gross, K.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Gross, K

Reference 10

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unresolved
no resolver link, observed 2026-07-31T04:46:13.567472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:13.567472Z digest=sha256:076b421fe25680dfa7872be482811b392586806463ef68495da32a8a5846b132

Observation a84fd022-9305-40b6-a3da-d1e7f3432236 · outbound

This paper cites Haferkamp,Random quantum circuits are approximate unitaryt-designs in depthO(nt 5+o(1)), Quan- tum6(2022), 795.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Haferkamp,Random quantum circuits are approximate unitaryt-designs in depthO(nt 5+o(1)), Quan- tum6(2022), 795

Reference 11

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no resolver link, observed 2026-07-31T04:46:13.663191Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:13.663191Z digest=sha256:0c7e3d24d2afd62f2230fda1faa9eebc23186b799e06928724f72a3c83e5cbc6

Observation 08485f2f-a929-4be1-94b3-0f19662d3a58 · outbound

This paper cites Haferkamp and N.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Haferkamp and N

Reference 12

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no resolver link, observed 2026-07-31T04:46:13.748191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:13.748191Z digest=sha256:aa63f8ab8235324ce4cd29fc673d10833224b22d502514d360daf6c4dd9dd2ee

Observation f595928f-6aa1-4737-a40a-716396caa992 · outbound

This paper cites Harrow and R.A.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Harrow and R.A

Reference 13

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unresolved
no resolver link, observed 2026-07-31T04:46:13.835069Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:13.835069Z digest=sha256:1a346196be55d080b8a25ddbe7370c88ab68870608007a96f987f0fb1b028e0b

Observation 87b67991-8259-40da-819b-c85c42bf40ef · outbound

This paper cites Harrow and S.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Harrow and S

Reference 14

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unresolved
no resolver link, observed 2026-07-31T04:46:13.961188Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:13.961188Z digest=sha256:dcc620be2e8bd461b3233f3072e07c0cc2a8fb59d02fe24ad39977e93a2a1c37

Observation 2ca4acf1-15c2-4ed6-8ac1-c5e5962688b5 · outbound

This paper cites Horn and C.R.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Horn and C.R

Reference 15

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unresolved
no resolver link, observed 2026-07-31T04:46:14.024577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:14.024577Z digest=sha256:119425a0f105f68bac7805fe6b95dd95eecdab1df56d3aa9953c69ede1cd589e

Observation e4cfb11d-2f60-4a6a-bb03-21ffab168af4 · outbound

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

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Unitary designs from statistical mechanics in random quantum circuits

Reference 16

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unresolved
no resolver link, observed 2026-07-31T04:46:14.147692Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:14.147692Z digest=sha256:6f24c6af856afd57de64883ab093ad02c62e1ac49635e943f5f475b10bda9b5f

Observation 43a28356-7ac7-4eaf-906d-b9a28131007e · outbound

This paper cites Khaneja, R.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Khaneja, R

Reference 17

Resolution
unresolved
no resolver link, observed 2026-07-31T04:46:14.240891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:14.240891Z digest=sha256:30fec76097a0d288a1fa67f37115129caa9bd2cc964946bae390681f4014d9a4

Observation 95007231-06be-45b3-b6e9-deb94a3e2d0b · outbound

This paper cites Convergence efficiency of quantum gates and circuits.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Convergence efficiency of quantum gates and circuits

Reference 18

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unresolved
no resolver link, observed 2026-07-31T04:46:14.326937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:14.326937Z digest=sha256:c8ee38aad497db70a5014c414b3586c884e0acc79f64134cfd69b1d6463e2ae9

Observation 8ea8da9e-e917-4d91-8a70-0dd8f67b7b78 · outbound

This paper cites Liang and H.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Liang and H

Reference 19

Resolution
unresolved
no resolver link, observed 2026-07-31T04:46:14.410835Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:14.410835Z digest=sha256:0a1c177cc20759d6cb224a06e175cf9a7fa3e58d68bf6ae75190bc668034c87f

Observation a44dfcff-ec2f-4b44-9bc1-5ecfede7aebb · outbound

This paper cites Sagan,The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Func- tions, 2nd ed., Graduate Texts in Mathematics, vol.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Sagan,The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Func- tions, 2nd ed., Graduate Texts in Mathematics, vol

Reference 20

Resolution
unresolved
no resolver link, observed 2026-07-31T04:46:14.549696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:14.549696Z digest=sha256:bac3ccc8fe44530a369f7889622c5f50a99b47d08a3999c2e330fee1920cfda8

Observation 926ce60f-1b60-4cfe-9ec8-0c6a77750f81 · outbound

This paper cites Teschl,Jacobi Operators and Completely Integrable Nonlinear Lattices, Mathematical Surveys and Monographs, vol.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Teschl,Jacobi Operators and Completely Integrable Nonlinear Lattices, Mathematical Surveys and Monographs, vol

Reference 21

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unresolved
no resolver link, observed 2026-07-31T04:46:14.628746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:14.628746Z digest=sha256:965139cca766305417fff259675acb104058f096c0cfafc1dfffc02ae21c2d95

Observation 75b1517c-017c-4b32-ac4f-16d666ba237d · outbound

This paper cites an unresolved cited work.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Unresolved cited work

Reference 22

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unresolved
no resolver link, observed 2026-07-31T04:46:14.672171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:14.672171Z digest=sha256:59c010ca63b5732b0fe1d5c80da4ccd170564256a0205288b55f4cbdac5a740a

Observation 2fac2779-c038-415c-9712-4683657ce566 · outbound

This paper cites Zhang, J.

Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap Zhang, J

Reference 23

Resolution
unresolved
no resolver link, observed 2026-07-31T04:46:14.714689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:46:14.714689Z digest=sha256:0ed30ef569da2a68f8a0ca0b5dfb6f78aed44b196b57b9a7c8ef2c14c66ecf28

Pith citing papers

Observation ac3d683b-1a0c-4d5c-82c1-66c6d851864c · inbound

iSWAP maximises the second-moment spectral gap in random quantum circuits cites this paper.

iSWAP maximises the second-moment spectral gap in random quantum circuits Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T04:54:40.897072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:54:40.897072Z digest=sha256:8becf9670ce2fc80bb9a2c2ccbc5ba7de1a5250faf7f7b8560f359b884a0058f