Paper Citation Record · LEDGER

iSWAP maximises the second-moment spectral gap in random quantum circuits

As of 7 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2607.29551.

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

pith.paper-citation-record.v1
2607.29551 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T04:54:41.572214Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

25 of 25 outbound references displayed

verified exact0
verified fuzzy0
unresolved25
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aedddf22-ee3d-4276-8a2c-14dc9ed03288 · outbound

This paper cites Belkin, J.

iSWAP maximises the second-moment spectral gap in random quantum circuits Belkin, J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:38.699466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a02e49e7-96a8-42ac-95e5-eef61d802292 · outbound

This paper cites Berman and R.J.

iSWAP maximises the second-moment spectral gap in random quantum circuits Berman and R.J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:38.820850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fafa43ff-b7d1-432c-863a-45f84e2f0d04 · outbound

This paper cites Brand˜ ao, A.W.

iSWAP maximises the second-moment spectral gap in random quantum circuits Brand˜ ao, A.W

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:38.994264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0093c72d-f57d-4cf2-a9b0-6354590fd8ee · outbound

This paper cites Brown and L.

iSWAP maximises the second-moment spectral gap in random quantum circuits Brown and L

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:39.092116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ca96a22-2ebd-4f3b-a3c0-e94d50c2ece7 · outbound

This paper cites Collins and P.

iSWAP maximises the second-moment spectral gap in random quantum circuits Collins and P

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:39.165592Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation abac393f-45c9-4d0f-b3d4-f50e39c572b6 · outbound

This paper cites Dankert, R.

iSWAP maximises the second-moment spectral gap in random quantum circuits Dankert, R

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:39.213978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ec349db-a7d4-4a16-b714-df4342123082 · outbound

This paper cites Emerson, R.

iSWAP maximises the second-moment spectral gap in random quantum circuits Emerson, R

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:39.272244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42592abd-5e66-4e48-9713-417d8380df95 · outbound

This paper cites Fabila-Monroy, D.

iSWAP maximises the second-moment spectral gap in random quantum circuits Fabila-Monroy, D

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:39.334482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62ca7eee-311e-4dbb-bbf0-3118b843243d · outbound

This paper cites Farina and S.

iSWAP maximises the second-moment spectral gap in random quantum circuits Farina and S

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:39.417272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cc7bd43-a0c4-448a-a6ec-c455cf05adf9 · outbound

This paper cites Gross, K.

iSWAP maximises the second-moment spectral gap in random quantum circuits Gross, K

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:39.538973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da8b3b0e-8a99-459d-9774-6591fc519e8a · outbound

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

iSWAP maximises the second-moment spectral gap in random quantum circuits 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 2026-08-03T04:54:39.614123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e87c0fcd-08d9-4751-90cf-9308ee8f41c0 · outbound

This paper cites Harrow and R.A.

iSWAP maximises the second-moment spectral gap in random quantum circuits Harrow and R.A

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:39.684183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 875b7d80-3010-4072-a3be-645c3749e8f6 · outbound

This paper cites Harrow and S.

iSWAP maximises the second-moment spectral gap in random quantum circuits Harrow and S

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:39.888618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5440c69b-a3fe-4758-9050-f1ede6e307be · outbound

This paper cites Horn and C.R.

iSWAP maximises the second-moment spectral gap in random quantum circuits Horn and C.R

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:40.113127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97fe20cf-1ba4-4cbc-86d5-455ae1af9fba · outbound

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

iSWAP maximises the second-moment spectral gap in random quantum circuits Unitary designs from statistical mechanics in random quantum circuits

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:40.262389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2cb53a1-2bd8-4b34-a367-43d971db5a5c · outbound

This paper cites Khaneja, R.

iSWAP maximises the second-moment spectral gap in random quantum circuits Khaneja, R

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:40.419628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bba7817-d7a0-4a96-9e43-5cae99e7d437 · outbound

This paper cites Convergence efficiency of quantum gates and circuits.

iSWAP maximises the second-moment spectral gap in random quantum circuits Convergence efficiency of quantum gates and circuits

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:40.600466Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7933e8f-5063-48a1-92bf-842f0bc23167 · outbound

This paper cites Kraus and J.I.

iSWAP maximises the second-moment spectral gap in random quantum circuits Kraus and J.I

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:40.776610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap.

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.

Observation 57608d17-6813-46ce-9859-7e0cb28b03b5 · outbound

This paper cites Levin, Y.

iSWAP maximises the second-moment spectral gap in random quantum circuits Levin, Y

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:41.032821Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad4128b0-b0a4-4c1f-b3c7-645438900d7c · outbound

This paper cites Local random quantum circuits form approximate designs on arbitrary architectures.

iSWAP maximises the second-moment spectral gap in random quantum circuits Local random quantum circuits form approximate designs on arbitrary architectures

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:41.166752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15193131-7a15-48bf-a7d9-42cbea12d5b5 · outbound

This paper cites Seneta,Non-negative Matrices and Markov Chains, 2nd ed., Springer, New York, 1981.

iSWAP maximises the second-moment spectral gap in random quantum circuits Seneta,Non-negative Matrices and Markov Chains, 2nd ed., Springer, New York, 1981

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:41.276113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ad83bb5-e8a0-452f-8a59-d52b82c4245f · outbound

This paper cites Zhang, J.

iSWAP maximises the second-moment spectral gap in random quantum circuits Zhang, J

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:41.416415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ea31dc3-543e-44b6-b1de-20d366377cac · outbound

This paper cites Brown and O.

iSWAP maximises the second-moment spectral gap in random quantum circuits Brown and O

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:41.504189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3b1d93a-bea8-4928-bd98-152a26b222be · outbound

This paper cites Ho and S.

iSWAP maximises the second-moment spectral gap in random quantum circuits Ho and S

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T04:54:41.572214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.