Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:44:08.458902Z
Paper Citation Record · LEDGER
Random unitary circuits with constant spectral gap
As of 17 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2607.20919.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-31T04:46:12.770500Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
14 of 14 outbound references displayed
- verified exact2
- verified fuzzy1
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch2
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 680a2307-b6bf-49f3-ba7b-cc3f9159236a · outbound
This paper cites The Detectability Lemma and Quantum Gap Amplification.
Random unitary circuits with constant spectral gap The Detectability Lemma and Quantum Gap Amplification
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:44:08.386790Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 113a6127-03ce-4f42-bdfb-74af4c3c7d82 · outbound
This paper cites Unitary designs from statistical mechanics in random quantum circuits.
Random unitary circuits with constant spectral gap Unitary designs from statistical mechanics in random quantum circuits
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:44:08.426357Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 78a0f284-5983-4e54-af68-4db7f4cffd61 · outbound
This paper cites Linear Growth of Circuit Complexity from Brownian Dynamics.
Random unitary circuits with constant spectral gap Linear Growth of Circuit Complexity from Brownian Dynamics
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:44:08.442226Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9fd073dc-4ea8-44a7-8363-0ee7ef143190 · outbound
This paper cites Linear growth of circuit complex- ity from brownian dynamics.Journal of High Energy Physics, 2023(8):190, Aug.
Random unitary circuits with constant spectral gap Linear growth of circuit complex- ity from brownian dynamics.Journal of High Energy Physics, 2023(8):190, Aug
Reference 1976
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T15:44:08.894861Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 544b3b5d-ae37-4640-b5bb-78c30b77ee0e · outbound
This paper cites Finite-size criteria for spectral gaps in $D$-dimensional quantum spin systems.
Random unitary circuits with constant spectral gap Finite-size criteria for spectral gaps in $D$-dimensional quantum spin systems
Reference 1989
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:44:08.448015Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 973ca2b9-97bd-4277-9912-50af71b365c7 · outbound
This paper cites [SHH25] Thomas Schuster, Jonas Haferkamp, and Hsin-Yuan Huang.
Random unitary circuits with constant spectral gap [SHH25] Thomas Schuster, Jonas Haferkamp, and Hsin-Yuan Huang
Reference 1990
- Resolution
- verified exact
- doi, observed 2026-08-15T15:44:08.498698Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cef1c541-bbb2-4bcb-8d8e-9fff21ec2712 · outbound
This paper cites Local random quantum circuits form approximate designs on arbitrary architectures.
Random unitary circuits with constant spectral gap Local random quantum circuits form approximate designs on arbitrary architectures
Reference 2003
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:44:08.453836Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 661032da-2cc5-459f-ac2f-1201a3c849a0 · outbound
This paper cites Convergence rates for arbitrary statistical moments of random quantum circuits.
Random unitary circuits with constant spectral gap Convergence rates for arbitrary statistical moments of random quantum circuits
Reference 2010
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-15T15:44:08.761084Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fddc4113-5ef8-493d-82f1-cec0deea81fe · outbound
This paper cites [Haf22] Jonas Haferkamp.
Random unitary circuits with constant spectral gap [Haf22] Jonas Haferkamp
Reference 2017
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:44:08.421157Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dd2cc268-daa4-4397-8e4e-6c973d7ca98a · outbound
This paper cites Two classes of quantum spin systems that are gapped on any bounded-degree graph.arXiv preprint arXiv:2509.22438,.
Random unitary circuits with constant spectral gap Two classes of quantum spin systems that are gapped on any bounded-degree graph.arXiv preprint arXiv:2509.22438,
Reference 2019
- Resolution
- verified exact
- raw_fallback, observed 2026-08-15T15:44:08.699948Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 95cea4a7-c183-463a-a480-e986e2cd37ba · outbound
This paper cites Aldous-type spectral gaps in unitary groups.arXiv preprint arXiv:2603.00353,.
Random unitary circuits with constant spectral gap Aldous-type spectral gaps in unitary groups.arXiv preprint arXiv:2603.00353,
Reference 2020
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:44:08.392815Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d08cd1c-c010-4063-aa85-7b250e9c8fb0 · outbound
This paper cites A complete theory of the Clifford commutant.
Random unitary circuits with constant spectral gap A complete theory of the Clifford commutant
Reference 2021
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:44:08.398112Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 66e52116-bfe9-45cf-ad75-b250fb35d855 · outbound
This paper cites Quantum union bounds for sequential projective measurements.
Random unitary circuits with constant spectral gap Quantum union bounds for sequential projective measurements
Reference 2023
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-15T15:44:08.738167Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7613ed47-e918-4595-8566-98eb8af7c621 · outbound
This paper cites A Spectral Gap Theorem in $SU(d)$.
Random unitary circuits with constant spectral gap A Spectral Gap Theorem in $SU(d)$
Reference 2025
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:44:08.404501Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 76be544f-7a20-4cb0-8b3f-e1df771a1db9 · inbound
Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap cites this paper.
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.