Paper Citation Record · LEDGER

Random quantum circuits are approximate unitary $t$-designs in depth $O\left(nt^{5+o(1)}\right)$

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2203.16571.

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

pith.paper-citation-record.v1
2203.16571 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 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 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:10:05.469830Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T06:01:08.648553Z

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 48291c9f-8a75-4f42-9d7a-228183cbd6af · inbound

Information-Computation Gaps in Quantum Learning via Low-Degree Likelihood cites this paper.

Information-Computation Gaps in Quantum Learning via Low-Degree Likelihood Random quantum circuits are approximate unitary $t$-designs in depth $O\left(nt^{5+o(1)}\right)$

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-07T13:10:05.469830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91f2ba72-d197-4290-9922-10840f8be4ce · inbound

Thermalization with partial information cites this paper.

Thermalization with partial information Random quantum circuits are approximate unitary $t$-designs in depth $O\left(nt^{5+o(1)}\right)$

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-06T01:01:44.532468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72947f1b-bab4-4b63-97e2-00e75bd39675 · inbound

Adaptive t Design Dummy-Gate Obfuscation for Cryogenic Scale Enforcement cites this paper.

Adaptive t Design Dummy-Gate Obfuscation for Cryogenic Scale Enforcement Random quantum circuits are approximate unitary $t$-designs in depth $O\left(nt^{5+o(1)}\right)$

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T13:17:28.037206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64b7caa7-a318-46cb-a5e0-43b7ec36dddf · inbound

Quantum Simulation of Random Unitaries from Clebsch-Gordan Transforms cites this paper.

Quantum Simulation of Random Unitaries from Clebsch-Gordan Transforms Random quantum circuits are approximate unitary $t$-designs in depth $O\left(nt^{5+o(1)}\right)$

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-04T13:37:03.229869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 188badcd-96f9-49ec-875f-95b7a87a8104 · inbound

Realizing Unitary $k$-designs with a Single Quench cites this paper.

Realizing Unitary $k$-designs with a Single Quench Random quantum circuits are approximate unitary $t$-designs in depth $O\left(nt^{5+o(1)}\right)$

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-03T21:51:27.863347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6edc95b-6460-444b-afc1-ec7feebafc48 · inbound

Long-range nonstabilizerness of topologically encoded states from mutual information cites this paper.

Long-range nonstabilizerness of topologically encoded states from mutual information Random quantum circuits are approximate unitary $t$-designs in depth $O\left(nt^{5+o(1)}\right)$

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-05-22T06:01:08.651696Z

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.