Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:12:49.937149Z
Paper Citation Record · LEDGER
Exact distinguishability between real-valued and complex-valued Haar random quantum states
As of 11 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 2 inbound Pith citation observations for arXiv:2507.16939.
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 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-01T08:31:19.787679Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-01T08:35:33.581040Z
Reference resolution
5 of 5 outbound references displayed
- verified exact0
- verified fuzzy2
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d8421f2f-5aa3-4c2e-b1d6-d95b6ba26784 · outbound
This paper cites Thus, the Gram-Schmidt process runs in at most O ( dim ( Ht d )2 de t 2 ) (146) time, which supersedes the previous loop and thus gives the final complexity of the algorithm.
Exact distinguishability between real-valued and complex-valued Haar random quantum states Thus, the Gram-Schmidt process runs in at most O ( dim ( Ht d )2 de t 2 ) (146) time, which supersedes the previous loop and thus gives the final complexity of the algorithm
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:12:50.016904Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 1e52d2e5-a328-4a7b-b46b-34373eda4f90 · outbound
This paper cites We start withα = (3, 0, 0).
Exact distinguishability between real-valued and complex-valued Haar random quantum states We start withα = (3, 0, 0)
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:12:50.005428Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 96e8ceb8-c258-4a81-bf3a-063199c1f3cd · outbound
This paper cites How to generate random matrices from the classical compact groups.
Exact distinguishability between real-valued and complex-valued Haar random quantum states How to generate random matrices from the classical compact groups
Reference 604
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:12:49.928050Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cdb54d4c-aca9-4545-b7bd-55d9f3684de5 · outbound
This paper cites Introduction to Haar Measure Tools in Quantum Information: A Beginner's Tutorial.
Exact distinguishability between real-valued and complex-valued Haar random quantum states Introduction to Haar Measure Tools in Quantum Information: A Beginner's Tutorial
Reference 1340
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:12:49.923502Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e27365c-02be-4e9f-8204-75ccd22384ec · outbound
This paper cites Spherical Harmonics.
Exact distinguishability between real-valued and complex-valued Haar random quantum states Spherical Harmonics
Reference 2013
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T15:12:49.994002Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Pith citing papers
Observation 1b8975c5-a409-451e-bc73-0315dee0cc40 · inbound
The most discriminable quantum states in the multicopy regime cites this paper.
The most discriminable quantum states in the multicopy regime Exact distinguishability between real-valued and complex-valued Haar random quantum states
Reference 36
- Resolution
- verified exact
- arxiv_id, observed 2026-05-27T02:05:04.638141Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation f3992982-9690-49b7-ad34-7b43ce9a6ac8 · inbound
The most discriminable quantum states in the multicopy regime cites this paper.
The most discriminable quantum states in the multicopy regime Exact distinguishability between real-valued and complex-valued Haar random quantum states
Reference 36
- Resolution
- verified exact
- local_arxiv, observed 2026-07-01T08:35:33.582273Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.