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Paper Citation Record · LEDGER

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

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:1809.06957.

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

pith.paper-citation-record.v1
1809.06957 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T23:02:45.243492Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T01:52:05.649381Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation f0fad7ed-6a0d-41b5-bd6b-08b10f9dc899 · inbound

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity cites this paper.

Generalized Cross-Entropy Benchmarking for Random Circuits with Ergodicity Approximate unitary $t$-designs by short random quantum circuits using nearest-neighbor and long-range gates

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-07T23:02:45.243492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:02:45.243492Z digest=sha256:89b9c5c32d0b0b43b0fdce36ed486cdd2aef4326ab02a8498832b54e809b8281

Observation 390bcea2-aa56-4fa3-8f29-8b882b002127 · inbound

Anti-concentration is (almost) all you need cites this paper.

Anti-concentration is (almost) all you need Approximate unitary $t$-designs by short random quantum circuits using nearest-neighbor and long-range gates

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-04T08:06:56.551330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T08:06:56.551330Z digest=sha256:0e10609cfbb3c03c1df17a1c11da33bf385123686cbd36846a5bf15f127e8dfc

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

Apparent Universal Behavior in Second Moments of Random Quantum Circuits cites this paper.

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.

source=pdf_text observed=2026-08-04T07:56:54.997112Z digest=sha256:a5d193c962872e5f6ebe2f19395013c353ef32417729cfa9b7557b40022594ac

Observation 2518149c-9ef8-44eb-8527-852d2a5368ab · inbound

Quantum computation at the edge of chaos cites this paper.

Quantum computation at the edge of chaos Approximate unitary $t$-designs by short random quantum circuits using nearest-neighbor and long-range gates

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-10T10:44:37.589285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T10:42:01.140888Z digest=sha256:156a850a6f7bd6d4d6b7d2c86c035e1ce50631e7eac15087a5082de5ca7e67ad

Observation e27d26fe-a6d6-4fa8-802c-871b193f9562 · inbound

Wavelet Variance Equipartition as a Threshold for World-Model Quality and Quantum Kernel TN-Simulability cites this paper.

Wavelet Variance Equipartition as a Threshold for World-Model Quality and Quantum Kernel TN-Simulability Approximate unitary $t$-designs by short random quantum circuits using nearest-neighbor and long-range gates

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-13T01:52:05.653159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-13T01:48:14.819786Z digest=sha256:14536308086ad2f9143ace19416114a6cd53653b6f094ca459d19d81646243aa