Paper Citation Record · LEDGER

Apparent Universal Behavior in Second Moments of Random Quantum Circuits

As of 20 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2510.23726.

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

pith.paper-citation-record.v1
2510.23726 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:56:56.542412Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T08:01:37.695845Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T11:19:50.696358Z

Reference resolution

27 of 27 outbound references displayed

verified exact1
verified fuzzy0
unresolved25
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 59a5f333-ccd1-407a-b03a-adca87d85e7d · outbound

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

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Local random quantum circuits form approximate designs on arbitrary architectures

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:54.275999Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e55d4eb-1856-4209-80dc-2e66b6fbf29a · outbound

This paper cites Random Quantum Circuits Anticoncentrate in Log Depth.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Random Quantum Circuits Anticoncentrate in Log Depth

Reference 2

Resolution: malformed identifier; no resolver link, observed 2026-08-04T07:56:54.346938Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2559e8d7-f218-457c-b201-392c2ff01c2c · outbound

This paper cites an unresolved cited work.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:54.459100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5af2fa9-7efe-47c3-a463-e79c1db5a691 · outbound

This paper cites More global randomness from less random local gates.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits More global randomness from less random local gates

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:54.604253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6605147e-ceb3-49b8-b9a9-3fde4eaefb58 · outbound

This paper cites Random unitaries in extremely low depth.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Random unitaries in extremely low depth

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:54.711722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbc2c136-40e1-4770-9b09-dcb1ac48aa1a · outbound

This paper cites LaRacuente and F.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits LaRacuente and F

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:54.800242Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b388b5b1-96e3-4fa5-b5cb-8d5bce7bf53d · outbound

This paper cites Quantum t-designs: t-wise Independence in the Quantum World.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Quantum t-designs: t-wise Independence in the Quantum World

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:54.841572Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07884762-278f-4c54-ad1c-505692176d0c · outbound

This paper cites Local Random Quantum Circuits are Approximate Polynomial-Designs.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Local Random Quantum Circuits are Approximate Polynomial-Designs

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:54.903195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1603ca58-255d-4b4b-8505-ba8b79dacef3 · outbound

This paper cites Approximate unitary $t$-designs by short random quantum circuits using nearest-neighbor and long-range gates.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Approximate unitary $t$-designs by short random quantum circuits using nearest-neighbor and long-range gates

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:54.997112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0a6e22e-a131-4caf-8848-0fc33a6bb02c · outbound

This paper cites Ap- proximate t -Designs in Generic Circuit Architectures.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Ap- proximate t -Designs in Generic Circuit Architectures

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:55.079649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b832cc5-2efe-4a61-9bcb-28f449065ee8 · outbound

This paper cites Incompressibility and spectral gaps of random circuits.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Incompressibility and spectral gaps of random circuits

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:55.138166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7fedc3a-e49e-4a84-9a26-284c896b4d2d · outbound

This paper cites Conditional t-independent spectral gap for random quantum circuits and implications for t-design depths.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Conditional t-independent spectral gap for random quantum circuits and implications for t-design depths

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:55.204901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c933cd0-612d-4738-952a-54e16b6512db · outbound

This paper cites Epsilon-Nets, Unitary Designs, and Random Quantum Cir- cuits.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Epsilon-Nets, Unitary Designs, and Random Quantum Cir- cuits

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:55.283851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5496e71d-d1b6-478b-b9d4-991d045bf439 · outbound

This paper cites Absence of censoring inequalities in random quantum circuits.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Absence of censoring inequalities in random quantum circuits

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:55.341126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c290d9d8-3abf-4506-8ee6-31a5c30d3187 · outbound

This paper cites Heinrich, J.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Heinrich, J

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:55.431925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b5c5be9-040b-4768-b425-4d1dae009ea1 · outbound

This paper cites Random quantum circuits are approximate unitary$t$-designs in depth$O\left(ntˆ{5+o(1)}\right)$.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Random quantum circuits are approximate unitary$t$-designs in depth$O\left(ntˆ{5+o(1)}\right)$

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:55.542418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 338a70b6-035e-4b89-b550-b29f7c1361c8 · outbound

This paper cites Improved spectral gaps for random quantum circuits: Large local dimensions and all-to-all interactions.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Improved spectral gaps for random quantum circuits: Large local dimensions and all-to-all interactions

Reference 17

Resolution: verified exact; doi, observed 2026-08-04T07:58:29.019576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e86dfd9f-effc-4030-8af2-b715dc209d03 · outbound

This paper cites an unresolved cited work.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:55.638052Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd7132ba-9671-4a75-9f58-fc8cf0a7e98a · outbound

This paper cites Solvable non-Hermitian skin effect in many-body unitary dynamics.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Solvable non-Hermitian skin effect in many-body unitary dynamics

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:55.731428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49af2477-63f4-40d9-83d9-5349ba34b943 · outbound

This paper cites Simple constructions of linear-depth t-designs and pseudorandom unitaries.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Simple constructions of linear-depth t-designs and pseudorandom unitaries

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:55.809844Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0bed99e-6e3d-415d-bc98-7f097a760e30 · outbound

This paper cites Unitary designs in nearly optimal depth.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Unitary designs in nearly optimal depth

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:55.947030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5011c210-7b1f-48c0-b19a-0eb4e499e392 · outbound

This paper cites Grevink, J.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Grevink, J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:56.027339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5aad5bd1-3326-453f-94b9-65912d89524f · outbound

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

Apparent Universal Behavior in Second Moments of Random Quantum Circuits No-go theorems for sublinear-depth group designs

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:56.092030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4fab0bc3-4a50-489d-9598-6b6e132330ce · outbound

This paper cites Unitary Designs from Random Symmetric Quantum Circuits.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Unitary Designs from Random Symmetric Quantum Circuits

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:56.192496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d29bafcb-e1ed-4122-96b1-808edfa7eb32 · outbound

This paper cites Unitary Designs of Symmetric Local Random Circuits.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Unitary Designs of Symmetric Local Random Circuits

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:56.312549Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74cec577-6113-4f32-88c6-356d23a95bd9 · outbound

This paper cites an unresolved cited work.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:56.439064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51b13c5c-6a33-494b-adf2-6192f7614a67 · outbound

This paper cites an unresolved cited work.

Apparent Universal Behavior in Second Moments of Random Quantum Circuits Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T07:56:56.542412Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 6e302eb7-bd60-4498-bc04-88e48f387b61 · inbound

Unitary Designs from Doped Matchgate Circuits cites this paper.

Unitary Designs from Doped Matchgate Circuits Apparent Universal Behavior in Second Moments of Random Quantum Circuits

Reference 80

Resolution: verified exact; arxiv_id, observed 2026-07-28T01:21:33.929537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.