Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Quantum circuit lower bounds in the magic hierarchy
As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2504.19966.
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 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T04:39:46.960936Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-22T06:01:08.720977Z
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 de2fdb9a-192c-4672-8d75-3c01d55e8372 · inbound
Expressibility of neural quantum states: a Walsh-complexity perspective cites this paper.
Expressibility of neural quantum states: a Walsh-complexity perspective Quantum circuit lower bounds in the magic hierarchy
Reference 14
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T23:08:14.794137Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bc16ab1e-9f25-46d2-b6d0-bbaf36bdd518 · inbound
Long-range nonstabilizerness of topologically encoded states from mutual information cites this paper.
Long-range nonstabilizerness of topologically encoded states from mutual information Quantum circuit lower bounds in the magic hierarchy
Reference 57
- Resolution
- verified exact
- arxiv_id, observed 2026-05-22T06:01:08.724346Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 07b4850e-9c53-4b6f-a7f1-9e3cbe387cb3 · inbound
Universality of Magic in Local Quantum Field Theory cites this paper.
Universality of Magic in Local Quantum Field Theory Quantum circuit lower bounds in the magic hierarchy
Reference 52
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T21:09:31.010120Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3058ed4f-1c36-4d92-b0c9-40a5c87773cc · inbound
Learning Clifford-structured quantum unitaries and Hamiltonians cites this paper.
Learning Clifford-structured quantum unitaries and Hamiltonians Quantum circuit lower bounds in the magic hierarchy
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T04:39:46.960936Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.