Paper Citation Record · LEDGER

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

As of 7 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 2026-08-06T06:34:29.942622+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

verified exact0
verified fuzzy0
unresolved23
parse uncertain0
malformed identifier0
metadata mismatch0

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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.

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.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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.

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.